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 · 15 October 2019 · Physical Review B

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

Ridley, Michael ^[1];

^[2];

^[3];

^[4]

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

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) (SC-22)

Grant/Contract Number:: SC0010342

OSTI ID:: 1570579

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Kinetic Equations for Transport Through Single-Molecule Transistors Leijnse, M.; Wegewijs, M. R. arXiv https://doi.org/10.48550/arxiv.0807.4027	text	January 2008
Thermoelectric efficiency at maximum power in a quantum dot Esposito, Massimiliano; Lindenberg, Katja; Broeck, Christian Van den arXiv https://doi.org/10.48550/arxiv.0808.0216	text	January 2008
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems Esposito, Massimiliano; Harbola, Upendra; Mukamel, Shaul arXiv https://doi.org/10.48550/arxiv.0811.3717	text	January 2008
Enhanced thermopower under time-dependent gate voltage Crépieux, Adeline; Simkovic, Fedor; Cambon, Benjamin arXiv https://doi.org/10.48550/arxiv.1012.0658	text	January 2010
Nonequilibrium entropy production for open quantum systems Deffner, Sebastian; Lutz, Eric arXiv https://doi.org/10.48550/arxiv.1103.4775	text	January 2011
Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise Yamauchi, Yoshiaki; Sekiguchi, Koji; Chida, Kensaku arXiv https://doi.org/10.48550/arxiv.1104.2660	text	January 2011
Full counting statistics in the self-dual interacting resonant level model Carr, Sam T.; Bagrets, Dmitry A.; Schmitteckert, Peter arXiv https://doi.org/10.48550/arxiv.1104.3532	text	January 2011
Memory Effects In Nonequilibrium Quantum Impurity Models Cohen, Guy; Rabani, Eran arXiv https://doi.org/10.48550/arxiv.1105.5348	text	January 2011
Electron Waiting Times in Mesoscopic Conductors Albert, Mathias; Haack, Géraldine; Flindt, Christian arXiv https://doi.org/10.48550/arxiv.1202.3152	text	January 2012
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
Cotunneling Current and Shot Noise in Quantum Dots Thielmann, Axel; Hettler, Matthias H.; König, Jürgen Karlsruhe https://doi.org/10.5445/ir/1000005960	text	January 2005

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