Iterative real-time path integral approach to nonequilibrium quantum transport
Open accessAbstract
We have developed a numerical approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral for the generating function of the nonequilibrium current. Self-energies due to the leads, being nonlocal in time, are fully taken into account within a finite memory time, thereby including non-Markovian effects, and numerical results are extrapolated both to vanishing (Trotter) time discretization and to infinite memory time. This extrapolation scheme converges except at very low temperatures, and the results are then numerically exact. The method is applied to nonequilibrium transport through an Anderson dot.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
Non-equilibrium exchanges between system and environment can have considerable influence on the system dynamics.
“This and other non-equilibrium exchanges between system and environment can have considerable influence on the system dynamics [28-35], influence the direction of energy transfer [28] and may even lead to the generation of long-lived quantum coherence in the system [28, 36-38].”
From Vibrations, quanta and biology (2013) · cites this paper as [31]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Localized Magnetic States in Metals
Anderson, P. W. (1961) · Physical Review · doi:10.1103/physrev.124.41 · Cited by 5,616 · see citing works
Landauer formula for the current through an interacting electron region
Meir, Y., & Wingreen, N. S. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2512 · Cited by 3,014 · see citing works
The theory of a general quantum system interacting with a linear dissipative system
Feynman, R. P., & Vernon, F. L. (1963) · Annals of Physics · doi:10.1016/0003-4916(63)90068-x · Cited by 2,861 · see citing works
Nanomechanical oscillations in a single-C60 transistor
Park, H., Park, J., Lim, A. K. L., Anderson, E. H., Alivisatos, A. P., & McEuen, P. L. (2000) · Nature · doi:10.1038/35024031 · Cited by 1,791 · see citing works
Calculation of Partition Functions
Hubbard, J. P. (1959) · Physical Review Letters · doi:10.1103/physrevlett.3.77 · Cited by 1,434 · see citing works
Negele, J. W., & Orland, H. (2018) · CRC Press eBooks · doi:10.1201/9780429497926 · Cited by 1,411 · see citing works
Weiß, U. (1999) · Series in modern condensed matter physics · doi:10.1142/4239 · Cited by 1,407 · see citing works
Quantum field-theoretical methods in transport theory of metals
Rammer, J., & Smith, H. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.323 · Cited by 1,361 · see citing works
Bishop, R. F. (1990) · Contemporary Physics · doi:10.1080/00107519008222009 · Cited by 1,251 · see citing works
Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
Daley, A. J., Kollath, C., Schollwöck, U., & Vidal, G. (2004) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2004/04/p04005 · Cited by 1,133 · 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
Many–Body Quantum Theory in Condensed Matter Physics
Bruus, H., & Flensberg, K. (2004) · doi:10.1093/oso/9780198566335.001.0001 · Cited by 1,031 · see citing works
Measurement of the conductance of a hydrogen molecule
Smit, R. H. M., Noat, Y., Untiedt, C., Lang, N. D., van Hemert, M. C., & van Ruitenbeek, J. M. (2002) · Nature · doi:10.1038/nature01103 · Cited by 936 · see citing works
Driving Current through Single Organic Molecules
Reichert, J., Ochs, R., Beckmann, D., Weber, H. B., Mayor, M., & Löhneysen, H. V. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.176804 · Cited by 856 · 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
Molecular transport junctions: vibrational effects
Galperin, M., Ratner, M. A., & Nitzan, A. (2007) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/19/10/103201 · Cited by 772 · see citing works
Tensor propagator for iterative quantum time evolution of reduced density matrices. I. Theory
Makri, N., & Makarov, D. E. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469508 · Cited by 637 · see citing works
Makri, N., & Makarov, D. E. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469509 · Cited by 489 · 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
Transport coefficients of the Anderson model via the numerical renormalization group
Costi, T. A., Hewson, A. C., & Zlatic, V. (1994) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/6/13/013 · Cited by 448 · see citing works
Numerical path integral techniques for long time dynamics of quantum dissipative systems
Makri, N. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531046 · Cited by 379 · see citing works
New Solution for Exchange Scattering in Dilute Alloys
Hamann, D. R. (1967) · Physical Review · doi:10.1103/physrev.158.570 · Cited by 363 · see citing works
Real-Time Path Integral Approach to Nonequilibrium Many-Body Quantum Systems
Mühlbacher, L., & Rabani, E. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.176403 · Cited by 348 · see citing works
König, J., Schmid, J., Schoeller, H., & Schön, G. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.16820 · Cited by 344 · see citing works
Makarov, D. E., & Makri, N. (1994) · Chemical Physics Letters · doi:10.1016/0009-2614(94)00275-4 · Cited by 328 · see citing works
Anders, F. B., & Schiller, A. (2006) · Physical Review B · doi:10.1103/physrevb.74.245113 · Cited by 250 · see citing works
Applications of the generalized Trotter formula
Raedt, H. A. D., & Raedt, B. D. (1983) · Physical Review A · doi:10.1103/physreva.28.3575 · Cited by 239 · see citing works
Conserving G W scheme for nonequilibrium quantum transport in molecular contacts
Thygesen, K. S., & Rubio, Á. (2008) · Physical Review B · doi:10.1103/physrevb.77.115333 · Cited by 233 · see citing works
Nonequilibrium Transport in Quantum Impurity Models: The Bethe Ansatz for Open Systems
Mehta, P. D., & Andrei, N. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.216802 · Cited by 228 · see citing works
Resonant tunneling through an Anderson impurity. I. Current in the symmetric model
Hershfield, S., Davies, J. H., & Wilkins, J. W. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.7046 · Cited by 216 · see citing works
Universality of the Kondo effect in a quantum dot out of equilibrium
Kaminski, A., Nazarov, Y. V., & Glazman, L. I. (2000) · Physical review. B, Condensed matter · doi:10.1103/physrevb.62.8154 · Cited by 205 · see citing works
Rosch, A., Paaske, J., Kroha, J., & Wölfle, P. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.076804 · Cited by 194 · see citing works
Nonequilibrium Functional Renormalization Group for Interacting Quantum Systems
Jakobs, S. G., Meden, V., & Schoeller, H. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.150603 · Cited by 156 · 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 151 · see citing works
Josephson Current through a Nanoscale Magnetic Quantum Dot
Siano, F., & Egger, R. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.047002 · Cited by 151 · see citing works
Self-citationScaling and Decoherence in the Nonequilibrium Kondo Model
Kehrein, S. K. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.056602 · Cited by 133 · see citing works
Real-Time Renormalization Group and Charge Fluctuations in Quantum Dots
Schoeller, H., & König, J. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.3686 · Cited by 115 · see citing works
Fermi-liquid theory for the Anderson model out of equilibrium
Oguri, A. (2001) · Physical review. B, Condensed matter · doi:10.1103/physrevb.64.153305 · Cited by 113 · see citing works
Dynamics of the spin-boson model with a structured environment
Thorwart, M., Paladino, E., & Grifoni, M. (2003) · Chemical Physics · doi:10.1016/j.chemphys.2003.10.007 · Cited by 111 · see citing works
Self-citationUniversal aspects of nonequilibrium currents in a quantum dot
Doyon, B., & Andrei, N. (2006) · Physical Review B · doi:10.1103/physrevb.73.245326 · Cited by 106 · see citing works
Perturbative approach to the nonequilibrium Kondo effect in a quantum dot
Fujii, T., & Ueda, K. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.68.155310 · Cited by 98 · see citing works
Han, J. E., & Heary, R. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.236808 · Cited by 93 · see citing works
The Kondo Effect in Non-Equilibrium Quantum Dots: Perturbative Renormalization Group
Rosch, A., Paaske, J., Kroha, J., & Wölfle, P. (2005) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.74.118 · Cited by 83 · see citing works
Exactly solvable nonequilibrium Kondo problem
Schiller, A., & Hershfield, S. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.12896 · Cited by 78 · see citing works
Transport in quantum dots from the integrability of the Anderson model
Konik, R., Saleur, H., & Ludwig, A. W. W. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.66.125304 · Cited by 78 · see citing works
Fermi-Edge Resonance and Tunneling in Nonequilibrium Electron Gas
Abanin, D. A., & Levitov, L. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.186803 · Cited by 77 · see citing works
Thorwart, M., Reimann, P., & Peter Hänggi, A. (2000) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.62.5808 · Cited by 76 · see citing works
Self-citationMühlbacher, L., & Egger, R. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1523014 · Cited by 76 · see citing works
Self-citationMesoscopic Electronics in Solid State Nanostructures
Heinzel, T. (2006) · Wiley eBooks · doi:10.1002/9783527618910 · Cited by 73 · see citing works
Egger, R., Mühlbacher, L., & Mak, C. H. (2000) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.61.5961 · Cited by 72 · see citing works
Self-citationDoyon, B. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.076806 · Cited by 71 · see citing works
A multilevel blocking approach to the sign problem in real-time quantum Monte Carlo simulations
Mak, C. H., & Egger, R. (1999) · The Journal of Chemical Physics · doi:10.1063/1.478077 · Cited by 65 · see citing works
Self-citationSchmitteckert, P., & Evers, F. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.086401 · Cited by 64 · see citing works
Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
Thorwart, M., Eckel, J., & Mucciolo, E. R. (2005) · Physical Review B · doi:10.1103/physrevb.72.235320 · Cited by 63 · see citing works
Self-citationExact low-temperature results for transport properties of the interacting resonant level model
Boulat, E., & Saleur, H. (2008) · Physical Review B · doi:10.1103/physrevb.77.033409 · Cited by 63 · see citing works
Quantum hysteresis and resonant tunneling in bistable systems
Thorwart, M., Reimann, P., Jung, P., & Fox, R. F. (1998) · Chemical Physics · doi:10.1016/s0301-0104(98)00128-1 · Cited by 61 · see citing works
Self-citationRenormalization-group approach to nonequilibrium Green functionsin correlated impurity systems
Costi, T. A. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.3003 · Cited by 61 · see citing works
Wang, X., Spataru, C. D., Hybertsen, M. S., & Millis, A. J. (2008) · Physical Review B · doi:10.1103/physrevb.77.045119 · Cited by 59 · see citing works
Entanglement Spectroscopy of a Driven Solid-State Qubit and Its Detector
Goorden, M. C., Thorwart, M., & Grifoni, M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.267005 · Cited by 58 · see citing works
Self-citationStrong enhancement of transport by interaction on contact links
Bohr, D., & Schmitteckert, P. (2007) · Physical Review B · doi:10.1103/physrevb.75.241103 · Cited by 57 · see citing works
Mechanically controllable break-junctions for use as electrodes for molecular electronics
Böhler, T., Grebing, J., Mayer-Gindner, A., Löhneysen, H. V., & Scheer, E. (2004) · Nanotechnology · doi:10.1088/0957-4484/15/7/054 · Cited by 57 · see citing works
Resonant Tunneling between Luttinger Liquids: A Solvable Case
Komnik, A., & Gogolin, A. O. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.246403 · Cited by 56 · see citing works
Borda, L., Vladár, K., & Zawadowski, A. (2007) · Physical Review B · doi:10.1103/physrevb.75.125107 · Cited by 52 · see citing works
Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
Aligia, A. A. (2006) · Physical Review B · doi:10.1103/physrevb.74.155125 · Cited by 51 · see citing works
Dynamical Hysteresis in Bistable Quantum Systems
Thorwart, M., & Jung, P. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2503 · Cited by 45 · see citing works
Self-citationMitra, A., & Millis, A. J. (2007) · Physical Review B · doi:10.1103/physrevb.76.085342 · Cited by 41 · see citing works
Kondo resonance in tunneling phenomena through a single quantum level
Oguri, A., Ishii, H., & Saso, T. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.4715 · Cited by 30 · see citing works
Superconducting nonequilibrium transport through a weakly interacting quantum dot
Dell’Anna, L., Zazunov, A., & Egger, R. (2008) · Physical Review B · doi:10.1103/physrevb.77.104525 · Cited by 29 · see citing works
Self-citationOut-of-Equilibrium Transport Phenomena through a Quantum Dot in a Magnetic Field
Fujii, T., & Ueda, K. (2005) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.74.127 · Cited by 21 · see citing works
Phonon-induced decoherence and dissipation in donor-based charge qubits
Eckel, J., Weiss, S., & Thorwart, M. (2006) · The European Physical Journal B · doi:10.1140/epjb/e2006-00346-y · Cited by 19 · see citing works
Self-citationQuantum steps in hysteresis loops
Thorwart, M., Reimann, P., Jung, P., & Fox, R. F. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00021-8 · Cited by 15 · see citing works
Self-citationFailure of the mean-field approach in the out-of-equilibrium Anderson model
Horváth, B., Lazarovits, B., Sauret, O., & Zaránd, G. (2008) · Physical Review B · doi:10.1103/physrevb.77.113108 · Cited by 13 · see citing works
Resonance in an Open Quantum Dot System with a Coulomb Interaction: a Bethe-Ansatz Approach
Nishino, A., & Hatano, N. (2007) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.76.063002 · Cited by 13 · see citing works
Flagged first, then by citations
1 of the 74 references couldn’t be matched to a known paper.
Research works printed but not linked: 2
- [32]Very recent progress on the application of the numerical renormalization group method out of equilibrium has been reported by F.B. Anders and A. Schiller, Phys. Rev. B 74 , 245113 (2006); F.B. Anders, preprint arXiv:0802.0371. · arXiv
- [45]A. Kamenev, in Nanophysics: Coherence and Transport , Les Houches session LXXXI, ed. H. Bouchiat, Y. Gefen, S. Gu´ eron, G. Montambaux, and J. Dalibard (Elsevier, New York, 2005).
Cited by
Sorted by citations
Dynamics of non-Markovian open quantum systems
de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,227 · see citing works
Vibrations, quanta and biology
Huelga, S. F., & Plenio, M. B. (2013) · Contemporary Physics · doi:10.1080/00405000.2013.829687 · Cited by 568 · see citing works
Diagrammatic Monte Carlo simulation of nonequilibrium systems
Werner, P., Oka, T., & Millis, A. J. (2009) · Physical Review B · doi:10.1103/physrevb.79.035320 · Cited by 290 · see citing works
Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
Heidrich‐Meisner, F., Feiguin, A. E., & Dagotto, E. R. (2009) · Physical Review B · doi:10.1103/physrevb.79.235336 · Cited by 179 · see citing works
Real-time diagrammatic Monte Carlo for nonequilibrium quantum transport
Schirò, M., & Fabrizio, M. (2009) · Physical Review B · doi:10.1103/physrevb.79.153302 · Cited by 170 · see citing works
A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics
Schoeller, H. (2009) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2009-00962-3 · Cited by 164 · see citing works
Memory effects in nonequilibrium quantum impurity models
Cohen, G., & Rabani, E. (2011) · Physical Review B · doi:10.1103/physrevb.84.075150 · Cited by 163 · see citing works
Numerically exact path-integral simulation of nonequilibrium quantum transport and dissipation
Segal, D., Millis, A. J., & Reichman, D. R. (2010) · Physical Review B · doi:10.1103/physrevb.82.205323 · Cited by 160 · see citing works
Cohen, G., Gull, E., Reichman, D. R., Millis, A. J., & Rabani, E. (2013) · Physical Review B · doi:10.1103/physrevb.87.195108 · Cited by 153 · see citing works
Härtle, R., & Thoss, M. (2011) · Physical Review B · doi:10.1103/physrevb.83.115414 · Cited by 146 · see citing works
Härtle, R., Cohen, G., Reichman, D. R., & Millis, A. J. (2013) · Physical Review B · doi:10.1103/physrevb.88.235426 · Cited by 147 · see citing works
Comparative study of theoretical methods for non-equilibrium quantum transport
Eckel, J., Heidrich‐Meisner, F., Jakobs, S. G., Thorwart, M., Pletyukhov, M., & Egger, R. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/4/043042 · Cited by 126 · see citing works
Self-citationTransient dynamics of the Anderson impurity model out of equilibrium
Schmidt, T. L., Werner, P., Mühlbacher, L., & Komnik, A. (2008) · Physical Review B · doi:10.1103/physrevb.78.235110 · Cited by 122 · see citing works
Numerical approach to time-dependent quantum transport and dynamical Kondo transition
Zheng, X. H., Jin, J., Welack, S., Luo, M., & Yan, Y. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3123526 · Cited by 121 · see citing works
Ye, L., Wang, X., Hou, D., Xu, R., Zheng, X. H., & Yan, Y. (2016) · Wiley Interdisciplinary Reviews Computational Molecular Science · doi:10.1002/wcms.1269 · Cited by 120 · see citing works
Jakobs, S. G., Pletyukhov, M., & Schoeller, H. (2010) · Physical Review B · doi:10.1103/physrevb.81.195109 · Cited by 119 · see citing works
Auxiliary master equation approach to nonequilibrium correlated impurities
Dorda, A., Nuss, M., von der Linden, W., & Arrigoni, E. (2014) · Physical Review B · doi:10.1103/physrevb.89.165105 · Cited by 117 · see citing works
Bistability in a nonequilibrium quantum system with electron-phonon interactions
Wilner, E. Y., Wang, H., Cohen, G., Thoss, M., & Rabani, E. (2013) · Physical Review B · doi:10.1103/physrevb.88.045137 · Cited by 110 · see citing works
Time-dependent density functional theory for quantum transport
Zheng, X. H., Chen, G., Mo, Y., Koo, S., Tian, H., Yam, C., & Yan, Y. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3475566 · Cited by 109 · see citing works
Koller, S., Grifoni, M., Leijnse, M., & Wegewijs, M. R. (2010) · Physical Review B · doi:10.1103/physrevb.82.235307 · Cited by 101 · see citing works
Charge transport through single molecules, quantum dots and quantum wires
Andergassen, S., Meden, V., Schoeller, H., Splettstoesser, J., & Wegewijs, M. R. (2010) · Nanotechnology · doi:10.1088/0957-4484/21/27/272001 · Cited by 99 · see citing works
Small Matrix Path Integral for System-Bath Dynamics
Makri, N. (2020) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c00039 · Cited by 95 · see citing works
Nonequilibrium electronic transport in a one-dimensional Mott insulator
Heidrich‐Meisner, F., González, I., Al-Hassanieh, K. A., Feiguin, A. E., Rozenberg, M. J., & Dagotto, E. R. (2010) · Physical Review B · doi:10.1103/physrevb.82.205110 · Cited by 91 · see citing works
da Silva, L. G. G. V. D., Heidrich‐Meisner, F., Feiguin, A. E., Büsser, C. A., Martins, G. B., Anda, E. V., & Dagotto, E. R. (2008) · Physical Review B · doi:10.1103/physrevb.78.195317 · Cited by 88 · see citing works
Wang, H., Pshenichnyuk, I. A., Härtle, R., & Thoss, M. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3660206 · Cited by 86 · see citing works
Nonperturbative stochastic method for driven spin-boson model
Orth, P. P., Imambekov, A., & Hur, K. L. (2013) · Physical Review B · doi:10.1103/physrevb.87.014305 · Cited by 83 · see citing works
Efficient simulation of non-Markovian system-environment interaction
Rosenbach, R., Cerrillo, J., Huelga, S. F., Cao, J., & Plenio, M. B. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/2/023035 · Cited by 83 · see citing works
Härtle, R., Cohen, G., Reichman, D. R., & Millis, A. J. (2015) · Physical Review B · doi:10.1103/physrevb.92.085430 · Cited by 78 · see citing works
Pletyukhov, M., Schuricht, D., & Schoeller, H. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.106801 · Cited by 78 · see citing works
Kondo Memory in Driven Strongly Correlated Quantum Dots
Zheng, X. H., Yan, Y., & Ventra, M. D. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.086601 · Cited by 78 · see citing works
Vibrational instabilities in resonant electron transport through single-molecule junctions
Härtle, R., & Thoss, M. (2011) · Physical Review B · doi:10.1103/physrevb.83.125419 · Cited by 78 · see citing works
Renormalization group approach to time-dependent transport through correlated quantum dots
Kennes, D. M., Jakobs, S. G., Karrasch, C., & Meden, V. (2012) · Physical Review B · doi:10.1103/physrevb.85.085113 · Cited by 77 · see citing works
Simine, L., & Segal, D. (2013) · The Journal of Chemical Physics · doi:10.1063/1.4808108 · Cited by 75 · see citing works
Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot
Karrasch, C., Andergassen, S., Pletyukhov, M., Schuricht, D., Borda, L., Meden, V., & Schoeller, H. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/90/30003 · Cited by 74 · see citing works
Makri, N. (2014) · The Journal of Chemical Physics · doi:10.1063/1.4896736 · Cited by 73 · see citing works
Real-time dynamics in quantum impurity models with diagrammatic Monte Carlo
Schirò, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.085126 · Cited by 72 · see citing works
Saptsov, R. B., & Wegewijs, M. R. (2012) · Physical Review B · doi:10.1103/physrevb.86.235432 · Cited by 71 · see citing works
Iterative summation of path integrals for nonequilibrium molecular quantum transport
Hützen, R., Weiss, S., Thorwart, M., & Egger, R. (2012) · Physical Review B · doi:10.1103/physrevb.85.121408 · Cited by 70 · see citing works
Self-citationGreen’s function methods for single molecule junctions
Cohen, G., & Galperin, M. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5145210 · Cited by 71 · see citing works
Karrasch, C., Pletyukhov, M., Borda, L., & Meden, V. (2010) · Physical Review B · doi:10.1103/physrevb.81.125122 · Cited by 70 · see citing works
Conductance of inhomogeneous systems: Real‐time dynamics
Branschädel, A., Schneider, G., & Schmitteckert, P. (2010) · Annalen der Physik · doi:10.1002/andp.201000017 · Cited by 67 · see citing works
Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
Cohen, G., Wilner, E. Y., & Rabani, E. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/7/073018 · Cited by 67 · see citing works
Zhang, H.-D., Cui, L., Gong, H., Xu, R., Zheng, X. H., & Yan, Y. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5136093 · Cited by 66 · see citing works
Dynamic electronic response of a quantum dot driven by time-dependent voltage
Zheng, X., Jin, J., & Yan, Y. (2008) · The Journal of Chemical Physics · doi:10.1063/1.3010886 · Cited by 66 · see citing works
Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
Timm, C. (2011) · Physical Review B · doi:10.1103/physrevb.83.115416 · Cited by 66 · see citing works
Wang, H., & Thoss, M. (2013) · The Journal of Chemical Physics · doi:10.1063/1.4798404 · Cited by 65 · see citing works
Time-dependent Landauer-Büttiker formula: Application to transient dynamics in graphene nanoribbons
Tuovinen, R., Perfetto, E., Stefanucci, G., & van Leeuwen, R. (2014) · Physical Review B · doi:10.1103/physrevb.89.085131 · Cited by 64 · see citing works
Influence of vibrational modes on quantum transport through a nanodevice
Jovchev, A., & Anders, F. B. (2013) · Physical Review B · doi:10.1103/physrevb.87.195112 · Cited by 63 · see citing works
Effective-Hamiltonian Theory of Open Quantum Systems at Strong Coupling
Anto-Sztrikacs, N., Nazir, A., & Segal, D. (2023) · PRX Quantum · doi:10.1103/prxquantum.4.020307 · Cited by 66 · see citing works
Nonequilibrium Quantum Dynamics of a Charge Carrier Doped into a Mott Insulator
Mierzejewski, M., Vidmar, L., Bonča, J., & Prelovšek, P. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.196401 · Cited by 63 · see citing works
Dynamic Coulomb blockade in single-lead quantum dots
Zheng, X., Jin, J., & Yan, Y. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/9/093016 · Cited by 60 · see citing works
Spataru, C. D., Hybertsen, M. S., Louie, S. G., & Millis, A. J. (2009) · Physical Review B · doi:10.1103/physrevb.79.155110 · Cited by 57 · see citing works
Hou, D., Wang, S., Wang, R., Ye, L., Xu, R., Zheng, X. H., & Yan, Y. (2015) · The Journal of Chemical Physics · doi:10.1063/1.4914514 · Cited by 57 · see citing works
Constructing tensor network influence functionals for general quantum dynamics
Ye, E., & Chan, G. K.-L. (2021) · The Journal of Chemical Physics · doi:10.1063/5.0047260 · Cited by 59 · see citing works
Efficient method for quantum impurity problems out of equilibrium
Thoenniss, J., Sonner, M., Lerose, A., & Abanin, D. A. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.l201115 · Cited by 56 · see citing works
Schoeller, H., & Reininghaus, F. (2009) · Physical Review B · doi:10.1103/physrevb.80.045117 · Cited by 55 · see citing works
Small Matrix Path Integral with Extended Memory
Makri, N. (2020) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c00987 · Cited by 55 · see citing works
Charge transport through single molecules, quantum dots and quantum wires
Andergassen, S., Meden, V., Splettstößer, J., Schoeller, H., & Wegewijs, M. R. (2010) · RWTH Publications (RWTH Aachen) · Cited by 55 · see citing works
Coherence in Chemistry: Foundations and Frontiers
Schultz, J. D., Yuly, J. L., Arsenault, E. A., Parker, K. A., Chowdhury, S. N., Dani, R., Kundu, S., Nuomin, H., Zhang, Z., Valdiviezo, J., et al. (2024) · Chemical Reviews · doi:10.1021/acs.chemrev.3c00643 · Cited by 55 · see citing works
Understanding the Kondo resonance in the d-CoPc/Au(111) adsorption system
Wang, Y., Zheng, X. H., Li, B., & Yang, J. (2014) · The Journal of Chemical Physics · doi:10.1063/1.4893953 · Cited by 54 · see citing works
Volkovich, R., Härtle, R., Thoss, M., & Peskin, U. (2011) · Physical Chemistry Chemical Physics · doi:10.1039/c1cp21161g · Cited by 54 · see citing works
Real-time evolution of Anderson impurity models via tensor network influence functionals
Ng, N., Park, G., Millis, A. J., Chan, G. K., & Reichman, D. R. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.125103 · Cited by 52 · see citing works
Kidon, L., Wilner, E. Y., & Rabani, E. (2015) · The Journal of Chemical Physics · doi:10.1063/1.4937396 · Cited by 52 · see citing works
Dynamics of Kondo voltage splitting after a quantum quench
Krivenko, I. S., Kleinhenz, J., Cohen, G., & Gull, E. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.201104 · Cited by 52 · see citing works
Complex non-Markovian effect on time-dependent quantum transport
Zheng, X. H., Luo, J., Jin, J., & Yan, Y. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3095424 · Cited by 51 · see citing works
Wilner, E. Y., Wang, H., Thoss, M., & Rabani, E. (2015) · Physical Review B · doi:10.1103/physrevb.92.195143 · Cited by 51 · see citing works
Nonequilibrium quantum impurity problems via matrix-product states in the temporal domain
Thoenniss, J., Lerose, A., & Abanin, D. A. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.195101 · Cited by 54 · see citing works
Iterative blip-summed path integral for quantum dynamics in strongly dissipative environments
Makri, N. (2017) · The Journal of Chemical Physics · doi:10.1063/1.4979197 · Cited by 49 · see citing works
Richter, M., & Fingerhut, B. P. (2017) · The Journal of Chemical Physics · doi:10.1063/1.4984075 · Cited by 49 · see citing works
Boudjada, N., & Segal, D. (2014) · The Journal of Physical Chemistry A · doi:10.1021/jp5091685 · Cited by 48 · see citing works
On the memory kernel and the reduced system propagator
Kidon, L., Wang, H., Thoss, M., & Rabani, E. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5047446 · Cited by 48 · see citing works
Kilgour, M., Agarwalla, B. K., & Segal, D. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5084949 · Cited by 48 · see citing works
Nonlinear Current Response of an Isolated System of Interacting Fermions
Mierzejewski, M., & Prelovšek, P. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.186405 · Cited by 46 · see citing works
Dan, X., Xu, M., Stockburger, J. T., Ankerhold, J., & Shi, Q. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.195429 · Cited by 45 · see citing works
Saptsov, R. B., & Wegewijs, M. R. (2014) · Physical Review B · doi:10.1103/physrevb.90.045407 · Cited by 45 · see citing works
Wang, S., Zheng, X. H., Jin, J., & Yan, Y. (2013) · Physical Review B · doi:10.1103/physrevb.88.035129 · Cited by 45 · see citing works
Härtle, R., & Millis, A. J. (2014) · Physical Review B · doi:10.1103/physrevb.90.245426 · Cited by 44 · see citing works
Voltage Quench Dynamics of a Kondo System
Antipov, A. E., Dong, Q., & Gull, E. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.036801 · Cited by 44 · see citing works
Wang, H., & Thoss, M. (2013) · The Journal of Physical Chemistry A · doi:10.1021/jp401464b · Cited by 44 · see citing works
Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
Güttge, F., Anders, F. B., Schollwöck, U., Eidelstein, E., & Schiller, A. (2013) · Physical Review B · doi:10.1103/physrevb.87.115115 · Cited by 43 · see citing works
Swenson, D. W. H., Levy, T. J., Cohen, G., Rabani, E., & Miller, W. H. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3583366 · Cited by 42 · see citing works
Makri, N. (2013) · Chemical Physics Letters · doi:10.1016/j.cplett.2013.11.064 · Cited by 42 · see citing works
Time-dependent density functional study of transport in molecular junctions
Varga, K. (2011) · Physical Review B · doi:10.1103/physrevb.83.195130 · Cited by 41 · see citing works
Schmitt, S., & Anders, F. B. (2010) · Physical Review B · doi:10.1103/physrevb.81.165106 · Cited by 40 · see citing works
Nonequilibrium electron transport in strongly correlated molecular junctions
Han, J. E. (2010) · Physical Review B · doi:10.1103/physrevb.81.113106 · Cited by 39 · see citing works
Anderson impurity model in nonequilibrium: Analytical results versus quantum Monte Carlo data
Mühlbacher, L., Urban, D. F., & Komnik, A. (2011) · Physical Review B · doi:10.1103/physrevb.83.075107 · Cited by 38 · see citing works
Erpenbeck, A., Härtle, R., & Thoss, M. (2015) · Physical Review B · doi:10.1103/physrevb.91.195418 · Cited by 38 · see citing works
A real-time extension of density matrix embedding theory for non-equilibrium electron dynamics
Kretchmer, J. S., & Chan, G. K. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5012766 · Cited by 37 · see citing works
Nghiem, H. T. M., & Costi, T. A. (2014) · Physical Review B · doi:10.1103/physrevb.89.075118 · Cited by 37 · see citing works
Wang, X., Hou, D., Zheng, X. H., & Yan, Y. (2016) · The Journal of Chemical Physics · doi:10.1063/1.4939843 · Cited by 36 · see citing works
Nonequilibrium Spin Dynamics in the Ferromagnetic Kondo Model
Hackl, A., Roosen, D., Kehrein, S. K., & Hofstetter, W. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.196601 · Cited by 36 · see citing works
Lead geometry and transport statistics in molecular junctions
Ridley, M., Gull, E., & Cohen, G. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5096244 · Cited by 34 · see citing works
Geometrical effects on energy transfer in disordered open quantum systems
Mohseni, M., Shabani, A., Lloyd, S., Omar, Y., & RABITZ, H. A. (2013) · The Journal of Chemical Physics · doi:10.1063/1.4807084 · Cited by 36 · see citing works
Universal postquench coarsening and aging at a quantum critical point
Gagel, P., Orth, P. P., & Schmalian, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.115121 · Cited by 34 · see citing works
Nonequilibrium transport in quantum impurity models: exact path integral simulations
Segal, D., Millis, A. J., & Reichman, D. R. (2011) · Physical Chemistry Chemical Physics · doi:10.1039/c1cp20702d · Cited by 32 · see citing works
Nghiem, H. T. M., & Costi, T. A. (2014) · Physical Review B · doi:10.1103/physrevb.90.035129 · Cited by 32 · see citing works
Bedkihal, S., & Segal, D. (2012) · Physical Review B · doi:10.1103/physrevb.85.155324 · Cited by 31 · see citing works
Ye, L., Zhang, H.-D., Wang, Y., Zheng, X. H., & Yan, Y. (2017) · The Journal of Chemical Physics · doi:10.1063/1.4999027 · Cited by 30 · see citing works
Dirks, A., Werner, P., Jarrell, M., & Pruschke, T. (2010) · Physical Review E · doi:10.1103/physreve.82.026701 · Cited by 30 · see citing works
Erpenbeck, A., Gull, E., & Cohen, G. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.125431 · Cited by 29 · see citing works
- Authors
- Weiss, S., Eckel, J., Thorwart, M., & Egger, R.
- Affiliations
- Heinrich Heine University Düsseldorf (DE)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-05-15
- Volume
- 77
- Issue
- 19
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1983016196
- Cited by
- 211
- References
- 74
- Citations by year
- 2026: 4 · 2025: 4 · 2024: 4 · 2023: 8 · 2022: 11 · 2021: 6 · 2020: 13 · 2019: 9 · 2018: 10 · 2017: 7 · 2016: 10 · 2015: 14 · 2014: 12 · 2013: 24 · 2012: 15
- FWCI
- 11.61
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- nonequilibrium quantum transport, real-time path integral, self-energy, non-Markovian effects
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
