skip to main content

DOE PAGESDOE PAGES

This content will become publicly available on September 26, 2019

Title: Nonequilibrium Steady-State Transport in Quantum Impurity Models: A Thermofield and Quantum Quench Approach Using Matrix Product States

Here, the numerical renormalization group (NRG) is tailored to describe interacting impurity models in equilibrium, but it faces limitations for steady-state nonequilibrium, arising, e.g., due to an applied bias voltage. We show that these limitations can be overcome by describing the thermal leads using a thermofield approach, integrating out high energy modes using NRG, and then treating the nonequilibrium dynamics at low energies using a quench protocol, implemented using the time-dependent density matrix renormalization group. This yields quantitatively reliable results for the current (with errors ≲3%) down to the exponentially small energy scales characteristic of impurity models. We present results of benchmark quality for the temperature and magnetic field dependence of the zero-bias conductance peak for the single-impurity Anderson model.
Authors:
 [1] ;  [2] ;  [1] ; ORCiD logo [3]
  1. Ludwig-Maximilians-Univ., Munchen (Germany)
  2. Adam Mickiewicz Univ., Poznan (Poland)
  3. Ludwig-Maximilians-Univ., Munchen (Germany); Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
BNL-209354-2018-JAAM
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:
SC0012704
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 13; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1480976

Schwarz, F., Weymann, I., von Delft, J., and Weichselbaum, Andreas. Nonequilibrium Steady-State Transport in Quantum Impurity Models: A Thermofield and Quantum Quench Approach Using Matrix Product States. United States: N. p., Web. doi:10.1103/PhysRevLett.121.137702.
Schwarz, F., Weymann, I., von Delft, J., & Weichselbaum, Andreas. Nonequilibrium Steady-State Transport in Quantum Impurity Models: A Thermofield and Quantum Quench Approach Using Matrix Product States. United States. doi:10.1103/PhysRevLett.121.137702.
Schwarz, F., Weymann, I., von Delft, J., and Weichselbaum, Andreas. 2018. "Nonequilibrium Steady-State Transport in Quantum Impurity Models: A Thermofield and Quantum Quench Approach Using Matrix Product States". United States. doi:10.1103/PhysRevLett.121.137702.
@article{osti_1480976,
title = {Nonequilibrium Steady-State Transport in Quantum Impurity Models: A Thermofield and Quantum Quench Approach Using Matrix Product States},
author = {Schwarz, F. and Weymann, I. and von Delft, J. and Weichselbaum, Andreas},
abstractNote = {Here, the numerical renormalization group (NRG) is tailored to describe interacting impurity models in equilibrium, but it faces limitations for steady-state nonequilibrium, arising, e.g., due to an applied bias voltage. We show that these limitations can be overcome by describing the thermal leads using a thermofield approach, integrating out high energy modes using NRG, and then treating the nonequilibrium dynamics at low energies using a quench protocol, implemented using the time-dependent density matrix renormalization group. This yields quantitatively reliable results for the current (with errors ≲3%) down to the exponentially small energy scales characteristic of impurity models. We present results of benchmark quality for the temperature and magnetic field dependence of the zero-bias conductance peak for the single-impurity Anderson model.},
doi = {10.1103/PhysRevLett.121.137702},
journal = {Physical Review Letters},
number = 13,
volume = 121,
place = {United States},
year = {2018},
month = {9}
}

Works referenced in this record:

Kondo effect in a single-electron transistor
journal, January 1998
  • Goldhaber-Gordon, D.; Shtrikman, Hadas; Mahalu, D.
  • Nature, Vol. 391, Issue 6663, p. 156-159
  • DOI: 10.1038/34373