Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
Abstract
We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition. This mapping is exact for models of correlated electrons in the limit of large lattice coordination (or infinite spatial dimensions). It extends the standard mean-field construction from classical statistical mechanics to quantum problems. We discuss the physical ideas underlying this theory and its mathematical derivation. Various analytic and numerical techniques that have been developed recently in order to analyze and solve the dynamical mean-field equations are reviewed and compared to each other. The method can be used for the determination of phase diagrams (by comparing the stability of various types of long-range order), and the calculation of thermodynamic properties, one-particle Green's functions, and response functions. We review in detail the recent progress in understanding the Hubbard model and the Mott metal-insulator transition within this approach, including some comparison to experiments on three-dimensional transition-metal oxides. We present an overview of the rapidly developing field of applications of this method to other systems. The present limitations of the approach, and possible extensions of the formalism are finally discussed. Computer programs for the numerical implementation of this method are also provided with this article.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Mean field, DFT, and DMFT have limitations, for example they are essentially designed for weakly correlated systems.
“Mean field [85], DFT [86, 87], or DMFT [88], finally, have other limitations, e.g., they are essentially designed for weakly-correlated systems.”
From Can one trust quantum simulators? (2012) · cites this paper as [86]
In higher-dimensional lattices, states obeying the Area law may still be amenable to classical simulation using tensor networks, density functional theories, or quantum Monte Carlo.
“In higher-dimensional lattices, states which obey the socalled 'Area law' [97], where quantum correlations are smaller than in generic states, may still be amenable to a classical simulation using state-of-the-art techniques such as tensor networks [77, 81, 82, 198, 199], Density Functional Theories [86], or Quantum Monte Carlo [75].”
From Can one trust quantum simulators? (2012) · cites this paper as [86]
Cites
Handbook of Mathematical Functions
Abramowitz, M., & Stegun, I. A. (1972) · Cited by 15,341 · see citing works
Band theory and Mott insulators: Hubbard U instead of Stoner I
Anisimov, V. I., Zaanen, J., & Andersen, O. K. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.44.943 · Cited by 7,492 · see citing works
Localized Magnetic States in Metals
Anderson, P. W. (1961) · Physical Review · doi:10.1103/physrev.124.41 · Cited by 5,616 · see citing works
Electric Moments of Molecules in Liquids
Onsager, L. (1936) · Journal of the American Chemical Society · doi:10.1021/ja01299a050 · Cited by 5,350 · see citing works
Methods of quantum field theory in statistical physics
(1964) · Journal of the Franklin Institute · doi:10.1016/0016-0032(64)90056-0 · Cited by 5,074 · see citing works
Quantum theory of many-particle systems
Fetter, A. L., & Walecka, J. D. (1971) · Cited by 5,047 · see citing works
Thousandfold Change in Resistivity in Magnetoresistive La-Ca-Mn-O Films
Jin, S., Tiefel, T. H., McCormack, M., et al. (1994) · Science · doi:10.1126/science.264.5157.413 · Cited by 4,835 · see citing works
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,531 · see citing works
Giant negative magnetoresistance in perovskitelike La 2 / 3 Ba 1 / 3 MnO x ferromagnetic films
von Helmolt, R., Wecker, J., Holzapfel, B., Schultz, L., & Samwer, K. H. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.2331 · Cited by 4,004 · see citing works
Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications
Mezard, M., Parisi, G., & Virasoro, M. (1986) · World Scientific Lecture Notes in Physics · doi:10.1142/0271 · Cited by 3,653 · see citing works
Superexchange interaction and symmetry properties of electron orbitals
Kanamori, J. (1959) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(59)90061-7 · Cited by 3,413 · see citing works
Holstein, T. D. (1959) · Annals of Physics · doi:10.1016/0003-4916(59)90002-8 · Cited by 3,279 · see citing works
The Kondo Problem to Heavy Fermions
Hewson, A. C. (1993) · Cambridge University Press eBooks · doi:10.1017/cbo9780511470752 · Cited by 3,147 · see citing works
Correlated electrons in high-temperature superconductors
Dagotto, E. R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.763 · Cited by 3,096 · see citing works
Band gaps and electronic structure of transition-metal compounds
Zaanen, J., Sawatzky, G. A., & Allen, J. W. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.418 · Cited by 3,069 · see citing works
Double Exchange Alone Does Not Explain the Resistivity of La 1 − x Sr x MnO 3
Millis, A. J., Littlewood, P. B., & Shraiman, B. I. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.5144 · Cited by 3,061 · see citing works
Insulator-metal transition and giant magnetoresistance in La1−x Srx MnO3
Urushibara, A., Moritomo, Y., Arima, T., et al. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.14103 · Cited by 2,885 · see citing works
Relation between the Anderson and Kondo Hamiltonians
Schrieffer, J. R., & Wolff, P. A. (1966) · Physical Review · doi:10.1103/physrev.149.491 · Cited by 2,391 · see citing works
Correlated Lattice Fermions in d = ∞ Dimensions
Metzner, W., & Vollhardt, D. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.324 · Cited by 2,348 · see citing works
Theory of high- T c superconductivity in oxides
Emery, V. J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2794 · Cited by 2,249 · see citing works
Introduction to Numerical Analysis
Stoer, J., & Bulirsch, R. Z. (1980) · Springer eBooks · doi:10.1007/978-1-4757-5592-3 · Cited by 2,162 · see citing works
Electron correlations in narrow energy bands III. An improved solution
Hubbard, J. (1964) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1964.0190 · Cited by 2,025 · see citing works
Lattice Effects on the Magnetoresistance in Doped LaMn O3
Hwang, H. Y., Cheong, S.-W., Radaelli, P. G., et al. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.914 · Cited by 1,981 · see citing works
Mott, N. F. (2004) · CRC Press eBooks · doi:10.1201/b12795 · Cited by 1,981 · see citing works
The Basis of the Electron Theory of Metals, with Special Reference to the Transition Metals
Mott, N. F. (1949) · Proceedings of the Physical Society Section A · doi:10.1088/0370-1298/62/7/303 · Cited by 1,977 · see citing works
A Theory of Cooperative Phenomena
Kikuchi, R. (1951) · Physical Review · doi:10.1103/physrev.81.988 · Cited by 1,953 · see citing works
Generalized cluster description of multicomponent systems
Sánchez, J. M., Ducastelle, F., & Gratias, D. (1984) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(84)90096-7 · Cited by 1,835 · see citing works
Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity
Nozi�res, P., & Schmitt-Rink, S. (1985) · Journal of Low Temperature Physics · doi:10.1007/bf00683774 · Cited by 1,822 · see citing works
Phase transitions and critical phenomena
Rowlinson, J. S. (1975) · The Journal of Chemical Thermodynamics · doi:10.1016/0021-9614(75)90197-4 · Cited by 1,758 · see citing works
Ground-State Energy of a Many-Fermion System. II
Luttinger, J. M., & Ward, J. (1960) · Physical Review · doi:10.1103/physrev.118.1417 · Cited by 1,712 · see citing works
The Kondo lattice and weak antiferromagnetism
Doniach, S. (1977) · Physica B+C · doi:10.1016/0378-4363(77)90190-5 · Cited by 1,659 · see citing works
Superconductivity in narrow-band systems with local nonretarded attractive interactions
Micnas, R., Ranninger, J., & Robaszkiewicz, S. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.113 · Cited by 1,627 · see citing works
The theory and properties of randomly disordered crystals and related physical systems
Elliott, R. J., KRUMHANSL, J. A., & Leath, P. L. (1974) · Reviews of Modern Physics · doi:10.1103/revmodphys.46.465 · Cited by 1,613 · see citing works
Solution of 'Solvable model of a spin glass'
Thouless, D. J., Anderson, P. W., & Palmer, R. G. (1977) · Philosophical magazine · doi:10.1080/14786437708235992 · Cited by 1,305 · see citing works
The Jahn-Teller effect and magnetism: transition metal compounds
Kugel, K. I., & Khomskii, D. I. (1982) · Soviet Physics Uspekhi · doi:10.1070/pu1982v025n04abeh004537 · Cited by 1,264 · see citing works
Application of Gutzwiller's Variational Method to the Metal-Insulator Transition
Brinkman, W. F., & Rice, T. M. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.2.4302 · Cited by 1,252 · see citing works
Superconductivity near 30 K without copper: the Ba0.6K0.4BiO3 perovskite
Cava, R. J., Batlogg, B. J., Krajewski, J. J., Farrow, R. C., RUPP, L. W. J., White, A. E., Short, K. T., PECK, W. F. J., & Kometani, T. Y. (1988) · Nature · doi:10.1038/332814a0 · Cited by 1,241 · see citing works
The transition to the metallic state
Mott, N. F. (1961) · Philosophical magazine · doi:10.1080/14786436108243318 · Cited by 1,229 · see citing works
Monte Carlo calculations of coupled boson-fermion systems. I
Blankenbecler, R., Scalapino, D. J., & Sugar, R. L. (1981) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.24.2278 · Cited by 1,229 · see citing works
Electron spectroscopies for Ce compounds in the impurity model
Gunnarsson, O., & Schönhammer, K. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.28.4315 · Cited by 1,227 · see citing works
Exact results in the theory of magnetic alloys
Tsvelik, A. M., & Wiegmann, P. B. (1983) · Advances In Physics · doi:10.1080/00018738300101581 · Cited by 1,108 · see citing works
Andrei, N., Furuya, K., & Lowenstein, J. H. (1983) · Reviews of Modern Physics · doi:10.1103/revmodphys.55.331 · Cited by 1,100 · see citing works
Two-dimensional Hubbard model: Numerical simulation study
Hirsch, J. E. (1985) · Physical review. B, Condensed matter · doi:10.1103/physrevb.31.4403 · Cited by 1,085 · see citing works
Kotliar, G., & Ruckenstein, A. E. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.1362 · Cited by 1,076 · see citing works
Self-citationHubbard model in infinite dimensions
Georges, A., & Kotliar, G. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.6479 · Cited by 1,071 · see citing works
Self-citationKrishnamurthy, H. R., Wilkins, J., & Wilson, K. (1980) · Physical review. B, Condensed matter · doi:10.1103/physrevb.21.1003 · Cited by 1,066 · see citing works
Torrance, J. B., Lacorre, P., Nazzal, A. I., Ansaldo, E. J., & Niedermayer, C. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.8209 · Cited by 1,041 · see citing works
Phase Transitions and Critical Phenomena
Puri, R. R. (2024) · Undergraduate lecture notes in physics · doi:10.1007/978-3-031-54310-4_11 · Cited by 1,016 · see citing works
Nozières, P., & Blandin, A. (1980) · Journal de physique · doi:10.1051/jphys:01980004103019300 · Cited by 1,003 · see citing works
Theory of the Insulating State
Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.133.a171 · Cited by 998 · see citing works
Correlation of Electrons in a Narrow s Band
Gutzwiller, M. C. (1965) · Physical Review · doi:10.1103/physrev.137.a1726 · Cited by 985 · see citing works
Charge transfer excitations and superconductivity in “ionic” metals
Varma, C. M., Schmitt-Rink, S., & Abrahams, E. (1987) · Solid State Communications · doi:10.1016/0038-1098(87)90407-8 · Cited by 950 · see citing works
Numerical study of the two-dimensional Hubbard model
White, S. R., Scalapino, D. J., Sugar, R. L., et al. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.40.506 · Cited by 947 · see citing works
Simple Model for Semiconductor-Metal Transitions: Sm B6 and Transition-Metal Oxides
Falicov, L. M., & Kimball, J. C. (1969) · Physical Review Letters · doi:10.1103/physrevlett.22.997 · Cited by 938 · see citing works
Varma, C. M. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.219 · Cited by 920 · see citing works
Phase separation in thet-Jmodel
Emery, V. J., Kivelson, S. A., & Lin, H. Q. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.475 · Cited by 872 · see citing works
Motion of a single hole in a quantum antiferromagnet
Kane, C. L., Lee, P. A., & Read, N. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.6880 · Cited by 821 · see citing works
Green’s Functions in Quantum Physics
Economou, E. N. (1983) · Springer series in solid-state sciences · doi:10.1007/978-3-662-02369-3 · Cited by 796 · see citing works
Monte Carlo Method for Magnetic Impurities in Metals
Hirsch, J. E., & Fye, R. M. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.2521 · Cited by 785 · see citing works
Giant Magnetotransport Phenomena in Filling-Controlled Kondo Lattice System: La1-xSrxMnO3
Tokura, Y., Urushibara, A., Moritomo, Y., et al. (1994) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.63.3931 · Cited by 780 · see citing works
Magnetic Effects and the Hartree-Fock Equation
Slater, J. C. (1951) · Physical Review · doi:10.1103/physrev.82.538 · Cited by 770 · see citing works
Normal He 3 : an almost localized Fermi liquid
Vollhardt, D. (1984) · Reviews of Modern Physics · doi:10.1103/revmodphys.56.99 · Cited by 724 · see citing works
Electronic structure based on the local atomic environment for tight-binding bands. II
Haydock, R., Heine, V., & Kelly, M. J. (1975) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/8/16/011 · Cited by 712 · see citing works
Solving the Eliashberg equations by means ofN-point Pad� approximants
Vidberg, H. J., & Serene, J. W. (1977) · Journal of Low Temperature Physics · doi:10.1007/bf00655090 · Cited by 683 · see citing works
Frustrated electronic phase separation and high-temperature superconductors
Emery, V. J., & Kivelson, S. A. (1993) · Physica C Superconductivity · doi:10.1016/0921-4534(93)90581-a · Cited by 681 · see citing works
Review of techniques in the large- N expansion for dilute magnetic alloys
Bickers, N. E. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.845 · Cited by 659 · see citing works
Correlated fermions on a lattice in high dimensions
M�ller-Hartmann, E. (1989) · The European Physical Journal B · doi:10.1007/bf01311397 · Cited by 651 · see citing works
Caffarel, M., & Krauth, W. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.1545 · Cited by 636 · see citing works
Self-citationHubbard model in infinite dimensions: A quantum Monte Carlo study
Jarrell, M. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.168 · Cited by 626 · see citing works
Anderson, P. W., Yuval, G., & Hamann, D. R. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.1.4464 · Cited by 575 · see citing works
Tokura, Y., Taguchi, Y., Okada, Y., et al. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.2126 · Cited by 572 · see citing works
Electronic structure of La1−x Srx MnO3 studied by photoemission and x-ray-absorption spectroscopy
Saitoh, T., Bocquet, A. E., Mizokawa, T., Namatame, H., Fujimori, A., Abbate, M., Takeda, Y., & Takano, M. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.13942 · Cited by 566 · see citing works
ON THE TRANSITION TO METALLIC CONDUCTION IN SEMICONDUCTORS
Mott, N. F. (1956) · Canadian Journal of Physics · doi:10.1139/p56-151 · Cited by 510 · see citing works
Critical theory of overscreened Kondo fixed points
Affleck, I. K., & Ludwig, A. W. W. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90419-x · Cited by 506 · see citing works
Discrete Hubbard-Stratonovich transformation for fermion lattice models
Hirsch, J. E. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.28.4059 · Cited by 488 · see citing works
Friedel Sum Rule for Anderson's Model of Localized Impurity States
Langreth, D. C. (1966) · Physical Review · doi:10.1103/physrev.150.516 · Cited by 480 · see citing works
Okimoto, Y., Katsufuji, T., Ishikawa, T., et al. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.109 · Cited by 473 · see citing works
Mapping of the two-channel Kondo problem to a resonant-level model
Emery, V. J., & Kivelson, S. A. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.10812 · Cited by 470 · see citing works
Hubbard, J. P. (1979) · Physical review. B, Condensed matter · doi:10.1103/physrevb.19.2626 · Cited by 470 · see citing works
Metal-Insulator Transitions in Pure and Doped V2 O3
McWhan, D. B., Menth, A., Remeika, J. P., et al. (1973) · Physical review. B, Solid state · doi:10.1103/physrevb.7.1920 · Cited by 466 · see citing works
Perturbation Expansion for the Anderson Hamiltonian. II
Yamada, K. (1975) · Progress of Theoretical Physics · doi:10.1143/ptp.53.970 · Cited by 450 · see citing works
Photoemission from Ce Compounds: Exact Model Calculation in the Limit of Large Degeneracy
Gunnarsson, O., & Schönhammer, K. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.604 · Cited by 441 · see citing works
Pruschke, T., Jarrell, M., & Freericks, J. K. (1995) · Advances In Physics · doi:10.1080/00018739500101526 · Cited by 441 · see citing works
Bound states, Cooper pairing, and Bose condensation in two dimensions
Randeria, M., Duan, J.-M., & Shieh, L.-Y. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.981 · Cited by 434 · see citing works
Low-Temperature Properties of the Two-Impurity Kondo Hamiltonian
Jones, B., Varma, C. M., & Wilkins, J. W. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.125 · Cited by 431 · see citing works
Paramagnetic Excited State of FeSi
Jaccarino, V., Wertheim, G. K., Wernick, J. H., Walker, L. R., & Arajs, S. (1967) · Physical Review · doi:10.1103/physrev.160.476 · Cited by 430 · see citing works
Wolff, P. A. (1961) · Physical Review · doi:10.1103/physrev.124.1030 · Cited by 408 · see citing works
Structural phase diagram of the Ba1−x Kx BiO3 system
Pei, S., Jorgensen, J. D., Dąbrowski, B., et al. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.4126 · Cited by 407 · see citing works
Mixed valence as an almost broken symmetry
Coleman, P. (1987) · Physical review. B, Condensed matter · doi:10.1103/physrevb.35.5072 · Cited by 405 · see citing works
Mean-field theory of intermediate valence/heavy fermion systems
Newns, D. M., & Read, N. (1987) · Advances In Physics · doi:10.1080/00018738700101082 · Cited by 405 · see citing works
Transport Properties of the Kondo Lattice Model in the LimitS=∞ andD=∞
Furukawa, N. (1994) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.63.3214 · Cited by 400 · see citing works
Electrons in disordered systems. Scaling near the mobility edge
Wegner, F. (1976) · The European Physical Journal B · doi:10.1007/bf01315248 · Cited by 395 · see citing works
Quantum Monte Carlo simulations and maximum entropy: Dynamics from imaginary-time data
Gubernatis, J. E., Jarrell, M., Silver, R. N., & Sivia, D. S. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.44.6011 · Cited by 390 · see citing works
Superconductivity in a two-dimensional Fermi gas: Evolution from Cooper pairing to Bose condensation
Randeria, M., Duan, J.-M., & Shieh, L.-Y. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.327 · Cited by 366 · see citing works
Tomonaga's Model and the Threshold Singularity of X-Ray Spectra of Metals
Schotte, K. D., & Schotte, U. (1969) · Physical Review · doi:10.1103/physrev.182.479 · Cited by 361 · see citing works
Thermodynamics and correlation functions of the Falicov-Kimball model in large dimensions
Brandt, U., & Mielsch, C. (1989) · The European Physical Journal B · doi:10.1007/bf01321824 · Cited by 361 · see citing works
Stability Theory of the Magnetic Phases for a Simple Model of the Transition Metals
Penn, D. R. (1966) · Physical Review · doi:10.1103/physrev.142.350 · Cited by 359 · see citing works
Magnetic structure of V2 O3 in the insulating phase
Castellani, C., Natoli, C. R., & Ranninger, J. (1978) · Physical review. B, Condensed matter · doi:10.1103/physrevb.18.4945 · Cited by 353 · see citing works
Pairing and spin gap in the normal state of short coherence length superconductors
Randeria, M., Trivedi, N., Moreo, A., et al. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2001 · Cited by 349 · see citing works
Mott transition in thed=∞ Hubbard model at zero temperature
Zhang, X. Y., Rozenberg, M. J., & Kotliar, G. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1666 · Cited by 344 · see citing works
Self-citationUnconventional charge gap formation in FeSi
Schlesinger, Z., Fisk, Z., Zhang, H.-T., Maple, M. B., DiTusa, J. F., & Aeppli, G. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1748 · Cited by 341 · see citing works
Quantum chemistry in Fock space. I. The universal wave and energy operators
Kutzelnigg, W. (1982) · The Journal of Chemical Physics · doi:10.1063/1.444231 · Cited by 319 · see citing works
The Kondo effect, conformal field theory and fusion rules
Affleck, I. K., & Ludwig, A. W. W. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90109-b · Cited by 306 · see citing works
Perturbation Expansion for the Anderson Hamiltonian. III
Yosida, K., & Yamada, K. P. (1975) · Progress of Theoretical Physics · doi:10.1143/ptp.53.1286 · Cited by 302 · see citing works
Density of states for the Anderson model
Lacroix, C. (1981) · Journal of Physics F Metal Physics · doi:10.1088/0305-4608/11/11/020 · Cited by 299 · see citing works
Electronic structure of NiO and related 3d-transition-metal compounds
Hüfner, S. (1994) · Advances In Physics · doi:10.1080/00018739400101495 · Cited by 294 · see citing works
Auxiliary field Monte-Carlo for quantum many-body ground states
Sugiyama, G. A., & Koonin, S. E. (1986) · Annals of Physics · doi:10.1016/0003-4916(86)90107-7 · Cited by 280 · see citing works
Hubbard model at infinite dimensions: Thermodynamic and transport properties
Pruschke, T., Cox, D. L., & Jarrell, M. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.47.3553 · Cited by 277 · see citing works
Evolution of the spectral function in Mott-Hubbard systems with d1 configuration
Fujimori, A., Hase, I., Namatame, H., et al. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1796 · Cited by 277 · see citing works
Numerical solution of thed=∞ Hubbard model: Evidence for a Mott transition
Georges, A., & Krauth, W. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1240 · Cited by 271 · see citing works
Self-citationPhase transitions in gapless Fermi systems with magnetic impurities
Withoff, D., & Fradkin, E. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1835 · Cited by 270 · see citing works
Comte, C., & Nozières, P. (1982) · Journal de physique · doi:10.1051/jphys:019820043070106900 · Cited by 269 · see citing works
New class of singlet superconductors which break the time reversal and parity
Balatsky, A. V., & Abrahams, E. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.13125 · Cited by 266 · see citing works
The Hubbard model at high dimensions: some exact results and weak coupling theory
M�ller-Hartmann, E. (1989) · The European Physical Journal B · doi:10.1007/bf01312686 · Cited by 261 · see citing works
An itinerant electron model with crystalline or magnetic long range order
Kennedy, T., & Lieb, É. H. (1986) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(86)90188-3 · Cited by 258 · see citing works
Optical Conductivity in Mott-Hubbard Systems
Rozenberg, M. J., Kotliar, G., Kajueter, H., et al. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.105 · Cited by 256 · see citing works
Self-citationGutzwiller method for heavy electrons
Rice, T. M., & Ueda, K. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.34.6420 · Cited by 249 · see citing works
Multielectron satellites and spin polarization in photoemission from Ni compounds
Fujimori, A., Minami, F., & Sugano, S. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.5225 · Cited by 243 · see citing works
Electronic Conduction in Oxides
Tsuda, N., Nasu, K., Yanase, A., et al. (1991) · Springer series in solid-state sciences · doi:10.1007/978-3-662-02668-7 · Cited by 240 · see citing works
Linked-cluster expansion around the atomic limit of the Hubbard model
Metzner, W. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.43.8549 · Cited by 238 · see citing works
Bose-Einstein condensation of paraexcitons in stressed Cu2 O
Lin, J. L., & Wolfe, J. P. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1222 · Cited by 238 · see citing works
Phase diagram of one-dimensional electron-phonon systems. II. The molecular-crystal model
Hirsch, J. E., & Fradkin, E. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.27.4302 · Cited by 237 · see citing works
Systematic Development of the Spectral Function in the 3 d 1 Mott-Hubbard System Ca 1 − x Sr x VO 3
Inoue, I. H., Hase, I., Aiura, Y., et al. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.2539 · Cited by 235 · see citing works
Physical properties of the half-filled Hubbard model in infinite dimensions
Georges, A., & Krauth, W. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.7167 · Cited by 235 · see citing works
Self-citationThe Anderson model with finite Coulomb repulsion
Pruschke, T., & Grewe, N. (1989) · The European Physical Journal B · doi:10.1007/bf01311391 · Cited by 230 · see citing works
Mott-Hubbard transition in infinite dimensions
Rozenberg, M. J., Zhang, X. Y., & Kotliar, G. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1236 · Cited by 230 · see citing works
Self-citationElectrical conductivity in the infinite-dimensional Hubbard model
Khurana, A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1990 · Cited by 226 · see citing works
Exact Diagonalization Methods for Quantum Systems
Lin, H.-W., Gubernatis, J. E., Gould, H., et al. (1993) · Computers in Physics · doi:10.1063/1.4823192 · Cited by 224 · see citing works
Yu, C. C., & Anderson, P. W. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.6165 · Cited by 222 · see citing works
Perturbation Expansion for the Anderson Hamiltonian
Yosida, K., & Yamada, K. (1970) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.46.244 · Cited by 219 · see citing works
Mott-Hubbard transition in infinite dimensions. II
Rozenberg, M. J., Kotliar, G., & Zhang, X. Y. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.10181 · Cited by 218 · see citing works
Self-citationTheory of mott transition : Applications to transition metal oxides
Cyrot, M. (1972) · Journal de physique · doi:10.1051/jphys:01972003301012500 · Cited by 215 · see citing works
The Recursion Method and its Applications.
G., W., Pettifor, D. G., & Weaire, D. L. (1986) · Mathematics of Computation · doi:10.2307/2008241 · Cited by 215 · see citing works
The electronic structure and superexchange interactions in transition-metal compounds
Zaanen, J., & Sawatzky, G. A. (1987) · Canadian Journal of Physics · doi:10.1139/p87-201 · Cited by 214 · see citing works
Correlation functions of the antiferromagnetic Heisenberg model using a modified Lanczos method
Gagliano, E. R., Dagotto, E. R., Moreo, A., et al. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.34.1677 · Cited by 213 · see citing works
Non fermi liquid behavior in strongly correlated f-electron materials
Maple, M. B., Seaman, C. L., Gajewski, D. A., et al. (1994) · Journal of Low Temperature Physics · doi:10.1007/bf00754938 · Cited by 200 · see citing works
Electrical properties of the ( V 1 − x Cr x ) 2 O 3 system
Kuwamoto, H., Honig, J. M., & Appel, J. (1980) · Physical review. B, Condensed matter · doi:10.1103/physrevb.22.2626 · Cited by 196 · see citing works
Theory of Itinerant Ferromagnets Exhibiting Localized-Moment Behavior above the Curie Point
Wang, S. Q., Evenson, W. E., & Schrieffer, J. R. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.92 · Cited by 193 · see citing works
Electronic Specific Heat of Metallic Ti-Doped V2 O3
McWhan, D. B., Remeika, J. P., Rice, T. M., et al. (1971) · Physical Review Letters · doi:10.1103/physrevlett.27.941 · Cited by 191 · see citing works
Fujimori, A., Hase, I., Nakamura, M., et al. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.9841 · Cited by 183 · see citing works
Quantum Monte Carlo Methods in Condensed Matter Physics
Suzuki, M. (1993) · WORLD SCIENTIFIC eBooks · doi:10.1142/2262 · Cited by 179 · see citing works
Stability of the Kondo lattice in the large- N limit
Read, N., Newns, D. M., & Doniach, S. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.3841 · Cited by 176 · see citing works
Non-Fermi-liquid behavior near aT=0 spin-glass transition
Sengupta, A. M., & Georges, A. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.52.10295 · Cited by 174 · see citing works
Self-citationNew model of the anisotropic phase of superfluid He 3
Berezinskiǐ, V. L. (1974) · Cited by 173 · see citing works
Quantum chemistry in Fock space. II. Effective Hamiltonians in Fock space
Kutzelnigg, W., & Koch, S. (1983) · The Journal of Chemical Physics · doi:10.1063/1.446313 · Cited by 171 · see citing works
Spin-Orbit-Coupling Effects in Transition-Metal Compounds
Goodenough, J. B. (1968) · Physical Review · doi:10.1103/physrev.171.466 · Cited by 162 · see citing works
Thermodynamics of the Falicov-Kimball model in large dimensions II
Brandt, U., & Mielsch, C. (1990) · The European Physical Journal B · doi:10.1007/bf01406598 · Cited by 162 · see citing works
Effective-field theory of local-moment formation in disordered metals
Milovanović, M. V., Sachdev, S., & Bhatt, R. N. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.82 · Cited by 160 · see citing works
Holstein model in infinite dimensions
Freericks, J. K., Jarrell, M., & Scalapino, D. J. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.6302 · Cited by 155 · see citing works
Theory of the atomic limit of the Anderson model. I. Perturbation expansions re-examined
Haldane, F. D. M. (1978) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/11/24/030 · Cited by 154 · see citing works
Self-consistent perturbation theory of the anderson model: Ground state properties
M�ller-Hartmann, E. (1984) · The European Physical Journal B · doi:10.1007/bf01470417 · Cited by 153 · see citing works
Variational Monte-Carlo Studies of Hubbard Model. II
Yokoyama, H., & Shiba, H. (1987) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.56.3582 · Cited by 153 · see citing works
Kondo effect in disordered systems
Dobrosavljević, V., Kirkpatrick, T. R., & Kotliar, B. G. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1113 · Cited by 151 · see citing works
New results on Trotter-like approximations
Fye, R. M. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.33.6271 · Cited by 149 · see citing works
Absence of spin diffusion in most random lattices
Bhatt, R. N., & Fisher, D. S. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.3072 · Cited by 148 · see citing works
New Model Hamiltonian for the Metal-Insulator Transition
Castellani, C., Castro, C. D., Feinberg, D., et al. (1979) · Physical Review Letters · doi:10.1103/physrevlett.43.1957 · Cited by 148 · see citing works
Exciton transport in Cu2 O: Evidence for excitonic superfluidity?
Fortin, E., Fafard, S., & Mysyrowicz, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3951 · Cited by 146 · see citing works
Fermi-liquid parameters and superconducting instabilities of a generalizedt-Jmodel
Grilli, M., & Kotliar, G. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1170 · Cited by 146 · see citing works
Self-citationPhase separation instability in the Hubbard model
Visscher, P. B. (1974) · Physical review. B, Solid state · doi:10.1103/physrevb.10.943 · Cited by 144 · see citing works
Magnetoresistance of the Double-Exchange Model in Infinite Dimension
Furukawa, N. (1995) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.64.2734 · Cited by 139 · see citing works
Photoemission spectroscopy for the spin-degenerate Anderson model
Frota, H. O., & de Oliveira, L. N. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.33.7871 · Cited by 139 · see citing works
Comments on the electronic structure of nickel
Tréglia, G., Ducastelle, F., & Spanjaard, D. (1980) · Physical review. B, Condensed matter · doi:10.1103/physrevb.21.3729 · Cited by 138 · see citing works
One-dimensional models with 1/r2interactions
Cardy, J. (1981) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/14/6/017 · Cited by 135 · see citing works
Anderson-Hubbard model in infinite dimensions
Ulmke, M., Janiš, V., & Vollhardt, D. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.10411 · Cited by 131 · see citing works
Brandt, U., & Schmidt, R. (1986) · The European Physical Journal B · doi:10.1007/bf01312577 · Cited by 127 · see citing works
Janiš, V. (1991) · The European Physical Journal B · doi:10.1007/bf01309423 · Cited by 126 · see citing works
Free energy of the Falicov-Kimball model in large dimensions
Brandt, U., & Mielsch, C. (1991) · The European Physical Journal B · doi:10.1007/bf01313984 · Cited by 126 · see citing works
Observation of the Gap and Kinetic Energy in a Correlated Insulator
Thomas, G. A., Rapkine, D. H., Carter, S. A., et al. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.1529 · Cited by 126 · see citing works
Symmetric periodic Anderson model in infinite dimensions
Jarrell, M. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.7429 · Cited by 125 · see citing works
Kondo coupling induced charge gap in Ce 3 Bi 4 Pt 3
Bucher, B., Schlesinger, Z., Canfield, P. C., et al. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.522 · Cited by 125 · see citing works
Critical Behavior near the Mott Transition in the Hubbard Model
Moeller, G., Si, Q., Kotliar, G., et al. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.2082 · Cited by 120 · see citing works
Self-citationMagnetic and dynamic properties of the Hubbard model in infinite dimensions
Jarrell, M., & Pruschke, T. (1993) · The European Physical Journal B · doi:10.1007/bf02198153 · Cited by 119 · see citing works
Orbital superlattice in the degenerate Hubbard model
Cyrot, M., & Lyon-Caen, C. (1975) · Journal de physique · doi:10.1051/jphys:01975003603025300 · Cited by 118 · see citing works
Effect of Quantum Fluctuations on the Peierls Instability: A Monte Carlo Study
Hirsch, J. E., & Fradkin, E. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.402 · Cited by 115 · see citing works
Electronic structure and optical properties of FeSi, a strongly correlated insulator
Fu, C., Krijn, M. P. C. M., & Doniach, S. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.2219 · Cited by 113 · see citing works
Cox, D. L., & Ruckenstein, A. E. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1613 · Cited by 113 · see citing works
Magnetic Transition Temperature of (La,Sr)MnO3
Furukawa, N. (1995) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.64.2754 · Cited by 112 · see citing works
Temperature Dependence of Conductivity in (La, Sr)MnO3
Furukawa, N. (1995) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.64.3164 · Cited by 111 · see citing works
Schwartz, L., & Siggia, E. D. (1972) · Physical review. B, Solid state · doi:10.1103/physrevb.5.383 · Cited by 110 · see citing works
Frésard, R., & Wölfle, P. (1992) · International Journal of Modern Physics B · doi:10.1142/s0217979292000414 · Cited by 108 · see citing works
Exact mean-field Hamiltonian for fermionic lattice models in high dimensions
van Dongen, P. G. J., & Vollhardt, D. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.1663 · Cited by 106 · see citing works
Periodic Anderson model in infinite dimensions
Jarrell, M., Akhlaghpour, H., & Pruschke, T. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1670 · Cited by 105 · see citing works
Weak-coupling treatment of the Hubbard model in one, two and three dimensions
Schweitzer, H., & Czycholl, G. (1991) · The European Physical Journal B · doi:10.1007/bf01314402 · Cited by 104 · see citing works
Extended Hubbard model at strong coupling
van Dongen, P. G. J. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.7904 · Cited by 104 · see citing works
Correlation induced insulator to metal transitions
Si, Q., Rozenberg, M. J., Kotliar, G., et al. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2761 · Cited by 101 · see citing works
Self-citationThermodynamics of the extended Hubbard model in high dimensions
van Dongen, P. G. J. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.757 · Cited by 100 · see citing works
Orbital Paramagnetism of Localized Nonmagnetic Impurities in Metals
Dworin, L., & Narath, A. (1970) · Physical Review Letters · doi:10.1103/physrevlett.25.1287 · Cited by 99 · see citing works
Strongly correlated electronic materials
Lab., N. (. S. L. A. N., Bedell, K. S., USDOE, W., et al. (1996) · doi:10.2172/212688 · Cited by 98 · see citing works
Superconducting Instabilities in the Large- U Limit of a Generalized Hubbard Model
Kotliar, G., & Liu, J. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1784 · Cited by 97 · see citing works
Self-citationResistivity and thermopower of heavy-fermion systems
Schweitzer, H., & Czycholl, G. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.3724 · Cited by 96 · see citing works
Discontinuous metal-insulator transitions and Fermi-liquid behavior of correlated electrons
Spałek, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.728 · Cited by 96 · see citing works
Mass enhancement and magnetic order at the Mott-Hubbard transition
Carter, S. A., Rosenbaum, T. F., Metcalf, P. A., et al. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.16841 · Cited by 94 · see citing works
Controlled mean-field theory for disordered electronic systems: Single-particle properties
Vlaming, R., & Vollhardt, D. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.4637 · Cited by 93 · see citing works
Variational theory for correlated lattice fermions in high dimensions
Metzner, W. (1989) · The European Physical Journal B · doi:10.1007/bf01313669 · Cited by 91 · see citing works
Existence of Two Phase Transitions in Hubbard Model
Langer, W. D., Plischke, M., & Mattis, D. C. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.1448 · Cited by 90 · see citing works
(1993) · doi:10.1142/1882 · Cited by 86 · see citing works
Exact mean-field theory of the extended simplified Hubbard model
van Dongen, P. G. J. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.2267 · Cited by 84 · see citing works
Vekić, M., Cannon, J. W., Scalapino, D. J., et al. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.2367 · Cited by 83 · see citing works
Coupling of quantum degrees of freedom in strongly interacting disordered electron systems
Janiš, V., & Vollhardt, D. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.15712 · Cited by 83 · see citing works
Dominicis, C. D., Kondor, I., & Temesvári, T. (1991) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/24/6/009 · Cited by 79 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Electronic excitations: density-functional versus many-body Green’s-function approaches
Onida, G., Reining, L., & Rubio, A. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.601 · Cited by 4,155 · see citing works
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323 · see citing works
Oganov, A. R., & Glass, C. W. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2210932 · Cited by 2,596 · see citing works
The Variational Quantum Eigensolver: A review of methods and best practices
Tilly, J., Chen, H., Cao, S., Picozzi, D., Setia, K., Li, Y., Grant, E., Wossnig, L., Rungger, I., Booth, G. H., et al. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.08.003 · Cited by 1,031 · see citing works
Precision and efficiency in solid-state pseudopotential calculations
Prandini, G., Marrazzo, A., Castelli, I. E., Mounet, N., & Marzari, N. (2018) · npj Computational Materials · doi:10.1038/s41524-018-0127-2 · Cited by 917 · see citing works
Programmable Quantum Simulations of Spin Systems with Trapped Ions
Monroe, C., Campbell, W. C., Duan, L. M., Gong, Z. X., Gorshkov, A. V., Hess, P., Islam, R., Kim, K., Linke, N., Pagano, G., et al. (2019) · arXiv · doi:10.48550/arxiv.1912.07845 · Cited by 806
Theoretical Insights into Heterogeneous (Photo)electrochemical CO<sub>2</sub>Reduction
Xu, S., & Carter, E. A. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00481 · Cited by 652 · see citing works
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660 · see citing works
Variational quantum algorithms for nonlinear problems
Lubasch, M., Joo, J., Moinier, P., Kiffner, M., & Jaksch, D. (2020) · Physical Review A · doi:10.1103/physreva.101.010301 · Cited by 331 · see citing works
Can one trust quantum simulators?
Hauke, P., Cucchietti, F. M., Tagliacozzo, L., Deutsch, I., & Lewenstein, M. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/8/082401 · Cited by 315 · see citing works
Simulating strongly correlated quantum systems with tree tensor networks
Murg, V., Verstraete, F., Legeza, Ö., & Noack, R. M. (2010) · Physical Review B · doi:10.1103/physrevb.82.205105 · Cited by 245 · see citing works
Quantum simulations of materials on near-term quantum computers
Ma, H., Govoni, M., & Galli, G. (2020) · npj Computational Materials · doi:10.1038/s41524-020-00353-z · Cited by 197 · see citing works
Jördens, R., Tarruell, L., Greif, D., Uehlinger, T., Strohmaier, N., Moritz, H., Esslinger, T., De Leo, L., Kollath, C., Georges, A., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.180401 · Cited by 156 · see citing works
Self-citationCoexistence of superconductivity with partially filled stripes in the Hubbard model
Xu, H., Chung, C.-M., Qin, M., Schollwöck, U., White, S. R., & Zhang, S. (2024) · Science · doi:10.1126/science.adh7691 · Cited by 144 · see citing works
“Other methods work either directly in the thermodynamic limit ( 24 , 25 ) or at least on much wider clusters as compared with DMRG ( 26 ), but these methods have approximations tied to unit-cell size ( 24 , 27 , 28 ), coupling strength, and other factors ( 25 , 29 , 30 ).”
MethodFormalizing Neurath’s ship: approximate algorithms for online causal learning.
Bramley, N. R., Dayan, P., Griffiths, T. L., & Lagnado, D. A. (2017) · Psychological Review · doi:10.1037/rev0000061 · Cited by 136 · see citing works
Johnson, T. H., Clark, S. R., & Jaksch, D. (2014) · EPJ Quantum Technology · doi:10.1140/epjqt10 · Cited by 127 · see citing works
Freericks, J. K. (2008) · Physical Review B · doi:10.1103/physrevb.77.075109 · Cited by 115 · see citing works
Miao, L., Liu, S., Xu, Y., Kotta, E. C., Kang, C.-J., Ran, S., Paglione, J., Kotliar, G., Butch, N. P., Denlinger, J. D., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.076401 · Cited by 105 · see citing works
Self-citationHubbard-<i>U</i>band-structure methods
Albers, R. C., Christensen, N. E., & Svane, A. (2009) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/21/34/343201 · Cited by 63 · see citing works
Application of Quantum Computing to Biochemical Systems: A Look to the Future
Cheng, H.-P., Deumens, E., Freericks, J. K., Li, C., & Sanders, B. A. (2020) · Frontiers in Chemistry · doi:10.3389/fchem.2020.587143 · Cited by 53 · see citing works
Visual Semantic Information Pursuit: A Survey
Liu, D., Bober, M., & Kittler, J. (2021) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2019.2950025 · Cited by 39 · see citing works
- Authors
- Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J.
- Affiliations
- École Normale Supérieure - PSL (FR)
- Rutgers, The State University of New Jersey (US)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1996-01-01
- Volume
- 68
- Issue
- 1
- Pages
- 13-125
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W1988150410
- Cited by
- 6,901
- References
- 316
- Citations by year
- 2026: 217 · 2025: 323 · 2024: 337 · 2023: 295 · 2022: 316 · 2021: 371 · 2020: 345 · 2019: 299 · 2018: 278 · 2017: 272 · 2016: 306 · 2015: 312 · 2014: 272 · 2013: 242 · 2012: 249
- FWCI
- 59.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reviews of Modern Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Magnetic and transport properties of perovskites and related materials
- Keywords
- dynamical mean-field theory, strongly correlated electrons, infinite-dimensional limit, quantum impurity models, Hubbard model, Mott transition, metal-insulator transition, transition metal oxides, phase diagram, Green's function, response functions, thermodynamic properties, long-range order
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
