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

Journal Article · · Journal of Physical Chemistry. C
 [1];  [2];  [3];  [3];  [3];  [4];  [5]
  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)
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.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1564045
Journal Information:
Journal of Physical Chemistry. C, Journal Name: Journal of Physical Chemistry. C Journal Issue: 22 Vol. 123; ISSN 1932-7447
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (5)

A complete quasiclassical map for the dynamics of interacting fermions journal June 2019
Numerically exact full counting statistics of the energy current in the Kondo regime journal October 2019
Study of the energy variation in many-body open quantum systems: Role of interactions in the weak and strong coupling regimes journal January 2020
A complete quasiclassical map for the dynamics of interacting fermions text January 2019
Study of the energy variation in many-body open quantum systems: role of interactions in the weak and strong coupling regimes text January 2019

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