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Hubbard model at infinite dimensions: Thermodynamic and transport properties
Open accessAbstract
We present results on the thermodynamic quantities, resistivity, and optical conductivity for the Hubbard model on a simple hypercubic lattice in infinite dimensions. Our results for the paramagnetic phase display the features expected from an intuitive analysis of the one-particle spectra and substantiate the similarity of the physics of the Hubbard model to those of heavy-fermion systems. The calculations were performed using an approximate solution to the single-impurity Anderson model, which is the key quantity entering the solution of the Hubbard model in this limit. To establish the quality of this approximation we compare its results, together with those obtained from two other widely used methods, to essentially exact quantum Monte Carlo results.
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Citations
Cites
Electron correlations in narrow energy bands
Hubbard, J. (1963) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1963.0204 · Cited by 6,699
Correlated Lattice Fermions ind=∞Dimensions
Metzner, W., & Vollhardt, D. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.324 · Cited by 2,346
Electron Correlation and Ferromagnetism of Transition Metals
Kanamori, J. (1963) · Progress of Theoretical Physics · doi:10.1143/ptp.30.275 · Cited by 1,972
Effect of Correlation on the Ferromagnetism of Transition Metals
Gutzwiller, M. C. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.159 · Cited by 1,866
Ground-State Energy of a Many-Fermion System. II
Luttinger, J. M., & Ward, J. C. (1960) · Physical Review · doi:10.1103/physrev.118.1417 · Cited by 1,712
Self-Consistent Approximations in Many-Body Systems
Baym, G. (1962) · Physical Review · doi:10.1103/physrev.127.1391 · Cited by 1,364
Hubbard model in infinite dimensions
Georges, A., & Kotliar, G. (1992) · Physical Review B · doi:10.1103/physrevb.45.6479 · Cited by 1,074
Krishna-murthy, H., Wilkins, J., & Wilson, K. (1980) · Physical Review B · doi:10.1103/physrevb.21.1003 · Cited by 1,066
Correlated fermions on a lattice in high dimensions
M�ller-Hartmann, E. (1989) · Zeitschrift f�r Physik B Condensed Matter · doi:10.1007/bf01311397 · Cited by 650
Hubbard model in infinite dimensions: A quantum Monte Carlo study
Jarrell, M. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.168 · Cited by 627
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Cited by
Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.13 · Cited by 6,901
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
Jarrell, M., & Gubernatis, J. E. (1996) · Physics Reports · doi:10.1016/0370-1573(95)00074-7 · Cited by 1,315
Self-citationMaier, T., Jarrell, M., Pruschke, T., & Hettler, M. H. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.1027 · Cited by 1,310
Self-citationNonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Giannetti, C., Capone, M., Fausti, D., Fabrizio, M., Parmigiani, F., & Mihailovic, D. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1194044 · Cited by 481
Metadata
- Authors
- Pruschke, T., Cox, D. L., & Jarrell, M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1993-02-15
- Volume
- 47
- Issue
- 7
- Pages
- 3553-3565
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1977725429
- Cited by
- 276
- References
- 20
- FWCI
- 11.81
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
