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Title: Numerically exact full counting statistics of the energy current in the Kondo regime

Abstract

In this study, we use the inchworm quantum Monte Carlo method to investigate the full counting statistics of particle and energy currents in a strongly correlated quantum dot. Our method is used to extract the heat fluctuations and entropy production of a quantum thermoelectric device, as well as cumulants of the particle and energy currents. The energy-particle current cross correlations reveal information on the preparation of the system and the interplay of thermal and electric currents. Finally, we demonstrate the signature of a crossover from Coulomb blockade to Kondo physics in the energy current fluctuations, and show how the conventional master equation approach to full counting statistics systematically fails to capture this crossover.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [1]
  1. Tel Aviv Univ. (Israel)
  2. Univ. of California San Diego, La Jolla, CA (United States)
  3. Univ. of Michigan, Ann Arbor, MI (United States); Flatiron Inst., NY (United States)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1570579
Grant/Contract Number:  
SC0010342
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 16; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Ridley, Michael, Galperin, Michael, Gull, Emanuel, and Cohen, Guy. Numerically exact full counting statistics of the energy current in the Kondo regime. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.165127.
Ridley, Michael, Galperin, Michael, Gull, Emanuel, & Cohen, Guy. Numerically exact full counting statistics of the energy current in the Kondo regime. United States. https://doi.org/10.1103/PhysRevB.100.165127
Ridley, Michael, Galperin, Michael, Gull, Emanuel, and Cohen, Guy. Wed . "Numerically exact full counting statistics of the energy current in the Kondo regime". United States. https://doi.org/10.1103/PhysRevB.100.165127. https://www.osti.gov/servlets/purl/1570579.
@article{osti_1570579,
title = {Numerically exact full counting statistics of the energy current in the Kondo regime},
author = {Ridley, Michael and Galperin, Michael and Gull, Emanuel and Cohen, Guy},
abstractNote = {In this study, we use the inchworm quantum Monte Carlo method to investigate the full counting statistics of particle and energy currents in a strongly correlated quantum dot. Our method is used to extract the heat fluctuations and entropy production of a quantum thermoelectric device, as well as cumulants of the particle and energy currents. The energy-particle current cross correlations reveal information on the preparation of the system and the interplay of thermal and electric currents. Finally, we demonstrate the signature of a crossover from Coulomb blockade to Kondo physics in the energy current fluctuations, and show how the conventional master equation approach to full counting statistics systematically fails to capture this crossover.},
doi = {10.1103/PhysRevB.100.165127},
journal = {Physical Review B},
number = 16,
volume = 100,
place = {United States},
year = {Wed Oct 16 00:00:00 EDT 2019},
month = {Wed Oct 16 00:00:00 EDT 2019}
}

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Free Publicly Available Full Text
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Cited by: 16 works
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Figures / Tables:

FIG. 1 FIG. 1: Illustration of a quantum junction comprising leads L and R coupled by a central quantum dot region D, with a chemical potential bias at no temperature bias (left) and an opposite temperature bias (right). Depending on the choice of parameters, the particle and heat currents, Ip and Ih,more » may be expected to flow in either the same direction (left) or opposite directions (right).« less

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text, January 2008


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text, January 2008


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text, January 2010


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text, January 2011


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text, January 2011


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text, January 2011


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text, January 2011


Electron Waiting Times in Mesoscopic Conductors
text, January 2012


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text, January 2012


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text, January 2013


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text, January 2013


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text, January 2013


Green's functions from real-time bold-line Monte Carlo
text, January 2014


Waiting Time Distribution of Quantum Electronic Transport in Transient Regime
text, January 2014


Quantum thermodynamics of the driven resonant level model
text, January 2015


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text, January 2016


Dynamics of energy transport and entropy production in ac-driven quantum electron systems
text, January 2016


Fundamental aspects of steady-state conversion of heat to work at the nanoscale
text, January 2016


Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
text, January 2017


Full-counting statistics of transient energy current in mesoscopic systems
text, January 2017


Transient charge and energy flow in the wide-band limit
text, January 2018


Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point
text, January 2019


Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
text, January 2019


Breakdown of the Landauer bound for information erasure in the quantum regime
text, January 2000


Fractional Shot Noise in the Kondo Regime
text, January 2006


Shot Noise in Mesoscopic Conductors
text, January 1999