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Title: Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point

Abstract

In this study, we investigate the characteristics of the electric current in the so-called symmetric Anderson impurity model. We study the nonequilibrium model using two complementary approximate methods, the perturbative quantum master equation approach to the reduced density matrix and a self-consistent equation of motion approach to the nonequilibrium Green's function. We find that, at a particular symmetry point, an interacting Anderson impurity model recovers the same steady-state current as an equivalent noninteracting model, akin a two-band resonant level model. We show this in the Coulomb blockade regime for both high and low temperatures, where either the approximate master equation approach or the Green's function method provides accurate results for the current. We conclude that the steady-state current in the symmetric Anderson model at this regime does not encode characteristics of a many-body interacting system.

Authors:
 [1];  [2];  [3];  [3];  [3];  [4];  [5]
+ Show Author Affiliations
  1. Univ. of California, Berkeley, CA (United States); Tel Aviv Univ., Tel Aviv (Israel)
  2. Univ. of California, Berkeley, CA (United States)
  3. Univ. of Freiburg, Freiburg (Germany)
  4. Univ. of California, Berkeley, CA (United States); Kavli Energy NanoScience Institute, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  5. Univ. of California, Berkeley, CA (United States); Univ. of Freiburg, Freiburg (Germany); Tel Aviv Univ., Tel Aviv (Israel)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1564045
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. C
Additional Journal Information:
Journal Volume: 123; Journal Issue: 22; Journal ID: ISSN 1932-7447
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Levy, Amikam, Kidon, Lyran, Bätge, Jakob, Okamoto, Junichi, Thoss, Michael, Limmer, David T., and Rabani, Eran. Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point. United States: N. p., 2019. Web. doi:10.1021/acs.jpcc.9b04132.
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Levy, Amikam, Kidon, Lyran, Bätge, Jakob, Okamoto, Junichi, Thoss, Michael, Limmer, David T., & Rabani, Eran. Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point. United States. https://doi.org/10.1021/acs.jpcc.9b04132
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Levy, Amikam, Kidon, Lyran, Bätge, Jakob, Okamoto, Junichi, Thoss, Michael, Limmer, David T., and Rabani, Eran. Tue . "Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point". United States. https://doi.org/10.1021/acs.jpcc.9b04132. https://www.osti.gov/servlets/purl/1564045.
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@article{osti_1564045,
title = {Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point},
author = {Levy, Amikam and Kidon, Lyran and Bätge, Jakob and Okamoto, Junichi and Thoss, Michael and Limmer, David T. and Rabani, Eran},
abstractNote = {In this study, we investigate the characteristics of the electric current in the so-called symmetric Anderson impurity model. We study the nonequilibrium model using two complementary approximate methods, the perturbative quantum master equation approach to the reduced density matrix and a self-consistent equation of motion approach to the nonequilibrium Green's function. We find that, at a particular symmetry point, an interacting Anderson impurity model recovers the same steady-state current as an equivalent noninteracting model, akin a two-band resonant level model. We show this in the Coulomb blockade regime for both high and low temperatures, where either the approximate master equation approach or the Green's function method provides accurate results for the current. We conclude that the steady-state current in the symmetric Anderson model at this regime does not encode characteristics of a many-body interacting system.},
doi = {10.1021/acs.jpcc.9b04132},
journal = {Journal of Physical Chemistry. C},
number = 22,
volume = 123,
place = {United States},
year = {Tue May 07 00:00:00 EDT 2019},
month = {Tue May 07 00:00:00 EDT 2019}
}
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https://doi.org/10.1021/acs.jpcc.9b04132
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    • DOI: 10.1063/1.5099987

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