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

Ridley, Michael; Galperin, Michael; Gull, Emanuel; Cohen, Guy

doi:10.1103/PhysRevB.100.165127

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

Journal Article · Wed Oct 16 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.100.165127· OSTI ID:1570579

Ridley, Michael ^[1];

^[2];

^[3];

^[1]

Tel Aviv Univ. (Israel)
Univ. of California San Diego, La Jolla, CA (United States)
Univ. of Michigan, Ann Arbor, MI (United States); Flatiron Inst., NY (United States)

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.

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Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0010342

OSTI ID:: 1570579

Journal Information:: Physical Review B, Vol. 100, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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Detection of single-electron heat transfer statistics Sánchez, Rafael; Büttiker, Markus arXiv https://doi.org/10.48550/arxiv.1207.2587	text	January 2012
Efficiency of heat engines coupled to nonequilibrium reservoirs Abah, Obinna; Lutz, Eric arXiv https://doi.org/10.48550/arxiv.1303.6558	text	January 2013
Heat dissipation and its relation to thermopower in single-molecule junctions Zotti, Linda Angela; Bürkle, Marius; Pauly, Fabian arXiv https://doi.org/10.48550/arxiv.1307.8336	text	January 2013
Lindblad equation approach for the full counting statistics of work and heat in driven quantum systems Silaev, Mihail; Heikkilä, Tero T.; Virtanen, Pauli arXiv https://doi.org/10.48550/arxiv.1312.3476	text	January 2013
Green's functions from real-time bold-line Monte Carlo Cohen, Guy; Reichman, David R.; Millis, Andrew J. arXiv https://doi.org/10.48550/arxiv.1401.0526	text	January 2014
Waiting Time Distribution of Quantum Electronic Transport in Transient Regime Tang, Gao-Min; Xu, Fuming; Wang, Jian arXiv https://doi.org/10.48550/arxiv.1403.1433	text	January 2014
Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output Whitney, Robert S. arXiv https://doi.org/10.48550/arxiv.1408.3348	text	January 2014
Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors Kaasbjerg, Kristen; Belzig, Wolfgang arXiv https://doi.org/10.48550/arxiv.1504.01155	text	January 2015
Quantum thermodynamics of the driven resonant level model Bruch, Anton; Thomas, Mark; Kusminskiy, Silvia Viola arXiv https://doi.org/10.48550/arxiv.1511.03276	text	January 2015
Distribution of tunnelling times for quantum electron transport Rudge, Samuel; Kosov, Daniel arXiv https://doi.org/10.48550/arxiv.1602.00882	text	January 2016
Dynamics of energy transport and entropy production in ac-driven quantum electron systems Ludovico, Maria Florencia; Moskalets, Michael; Sanchez, David arXiv https://doi.org/10.48550/arxiv.1604.02953	text	January 2016
Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model Ochoa, Maicol A.; Bruch, Anton; Nitzan, Abraham arXiv https://doi.org/10.48550/arxiv.1607.07120	text	January 2016
Fundamental aspects of steady-state conversion of heat to work at the nanoscale Benenti, Giuliano; Casati, Giulio; Saito, Keiji arXiv https://doi.org/10.48550/arxiv.1608.05595	text	January 2016
Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods Chen, Hsing-Ta; Cohen, Guy; Reichman, David R. arXiv https://doi.org/10.48550/arxiv.1610.09402	text	January 2016
Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo Antipov, Andrey E.; Dong, Qiaoyuan; Kleinhenz, Joseph arXiv https://doi.org/10.48550/arxiv.1610.09549	text	January 2016
Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias Ridley, Michael; MacKinnon, Angus; Kantorovich, Lev arXiv https://doi.org/10.48550/arxiv.1611.07404	text	January 2016
Full-counting statistics of energy transport of molecular junctions in the polaronic regime Tang, Gaomin; Yu, Zhizhou; Wang, Jian arXiv https://doi.org/10.48550/arxiv.1612.02887	text	January 2016
Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response Brandner, Kay; Bauer, Michael; Seifert, Udo arXiv https://doi.org/10.48550/arxiv.1703.02464	text	January 2017
Coherent Transport of Levitons Through the Kondo Resonance Suzuki, Takafumi J. arXiv https://doi.org/10.48550/arxiv.1703.05198	text	January 2017
Universal trade-off between power, efficiency, and constancy in steady-state heat engines Pietzonka, Patrick; Seifert, Udo arXiv https://doi.org/10.48550/arxiv.1705.05817	text	January 2017
Full-counting statistics of transient energy current in mesoscopic systems Yu, Zhizhou; Tang, Gao-Min; Wang, Jian arXiv https://doi.org/10.48550/arxiv.1706.07182	text	January 2017
Waiting time distribution revealing the internal spin dynamics in a double quantum dot Ptaszynski, Krzysztof arXiv https://doi.org/10.48550/arxiv.1707.00441	text	January 2017
Transient charge and energy flow in the wide-band limit Covito, F.; Eich, F. G.; Tuovinen, R. arXiv https://doi.org/10.48550/arxiv.1801.08440	text	January 2018
Thermodynamics of energy, charge and spin currents in thermoelectric quantum-dot spin valve Tang, Gaomin; Thingna, Juzar; Wang, Jian arXiv https://doi.org/10.48550/arxiv.1802.06549	text	January 2018
Coherence-enhanced constancy of a quantum thermoelectric generator Ptaszynski, Krzysztof arXiv https://doi.org/10.48550/arxiv.1805.11301	text	January 2018
Waiting time between charging and discharging processes in molecular junctions Kosov, Daniel S. arXiv https://doi.org/10.48550/arxiv.1807.09516	text	January 2018
Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point Levy, Amikam; Kidon, Lyran; Bätge, Jakob arXiv https://doi.org/10.48550/arxiv.1901.04315	text	January 2019
Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion Kubiczek, Patryk; Rubtsov, Alexey N.; Lichtenstein, Alexander I. arXiv https://doi.org/10.48550/arxiv.1904.12582	text	January 2019
Breakdown of the Landauer bound for information erasure in the quantum regime Allahverdyan, A. E.; Nieuwenhuizen, Th. M. arXiv https://doi.org/10.48550/arxiv.cond-mat/0012284	text	January 2000
Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems Bagrets, D. A.; Nazarov, Yu. V. arXiv https://doi.org/10.48550/arxiv.cond-mat/0207624	text	January 2002
Fractional Shot Noise in the Kondo Regime Sela, Eran; Oreg, Yuval; von Oppen, Felix arXiv https://doi.org/10.48550/arxiv.cond-mat/0603442	text	January 2006
Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium Meir, Y.; Wingreen, N. S.; Lee, P. A. arXiv https://doi.org/10.48550/arxiv.cond-mat/9212007	text	January 1992
Shot Noise in Mesoscopic Conductors Blanter, Ya. M.; Buttiker, M. arXiv https://doi.org/10.48550/arxiv.cond-mat/9910158	text	January 1999