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

Abstract

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:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1480976
Report Number(s):
BNL-209354-2018-JAAM
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
SC0012704
Resource 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)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

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., 2018. 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. Wed . "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. https://www.osti.gov/servlets/purl/1480976.
@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}
}

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