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Title: Numerically exact full counting statistics of the nonequilibrium Anderson impurity model

Journal Article · · Physical Review B
 [1];  [1];  [2];  [1]
  1. Tel Aviv Univ. (Israel)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
+ Show Author Affiliations

The time-dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are reproduced; then, we continue to explore the effect of electron-electron interactions on the time-dependent charge cumulants, first-passage time distributions, and n-electron transfer distributions. We observe a crossover in the noise from Coulomb blockade to Kondo-dominated physics as the temperature is decreased. In addition, we uncover long-tailed spin distributions in the Kondo regime and analyze queuing behavior caused by correlations between single-electron transfer events

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; ER 46932
OSTI ID:
1423876
Alternate ID(s):
OSTI ID: 1423919
Journal Information:
Physical Review B, Vol. 97, Issue 11; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 38 works
Citation information provided by
Web of Science

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  • Gustavsson, S.; Leturcq, R.; Simovič, B.
  • PHYSICS OF SEMICONDUCTORS: 28th International Conference on the Physics of Semiconductors - ICPS 2006, AIP Conference Proceedings https://doi.org/10.1063/1.2730108
conference January 2007
Full-counting statistics of time-dependent conductors text January 2016
Cotunneling Current and Shot Noise in Quantum Dots text January 2005
Quantum Dissipative Systems book October 1999
Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state text January 2007
Full counting statistics of spin transfer through ultrasmall quantum dots text January 2007
Interference effects in the counting statistics of electron transfers through a double quantum dot text January 2007
Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field text January 2007
Counting statistics for the Anderson impurity model: Bethe ansatz and Fermi liquid study text January 2008
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The noise spectra of a biased quantum dot text January 2008
Factorization of quantum charge transport for non-interacting fermions text January 2009
Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom text January 2009
Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects text January 2009
Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects text January 2010
High cumulants in the counting statistics measured for a quantum dot text January 2010
Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation text January 2010
Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations text January 2010
Distributions of Waiting Times of Dynamic Single-Electron Emitters text January 2011
Measurement of finite-frequency current statistics in a single-electron transistor text January 2012
Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis text January 2012
Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise text January 2012
Transient Current-Current Correlations and Noise Spectra text January 2013
Green's functions from real-time bold-line Monte Carlo text January 2014
Waiting time distributions of noninteracting fermions on a tight-binding chain text January 2014
Full counting statistics in the not-so-long-time limit text January 2014
Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors text January 2015
Nonsymmetrized noise in a quantum dot: Interpretation in terms of energy transfer and coherent superposition of scattering paths text January 2015
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Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics text January 2016
Full-counting statistics of energy transport of molecular junctions in the polaronic regime text January 2016
Short time dynamics of molecular junctions after projective measurement text January 2017
Full-counting statistics of transient energy current in mesoscopic systems text January 2017
Full Counting Statistics for Interacting Fermions with Determinantal Quantum Monte Carlo Simulations text January 2017
Doubled Full Shot Noise in Quantum Coherent Superconductor - Semiconductor Junctions text January 2002
Full Counting Statistics with Spin-sensitive Detectors reveals Spin-singlets text January 2004
Super-Poissonian shot noise in the resonant tunneling due to coupling with a localized level text January 2004
Co-tunneling current and shot noise in quantum dots text January 2005
Measurement of Counting Statistics of Electron Transport in a Tunnel Junction text January 2005
Shot noise near the unitary limit of a Kondo quantum dot text January 2006
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Enhanced shot noise in resonant tunneling: theory and experiment text January 1997
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Cited By (18)

Waiting time between charging and discharging processes in molecular junctions journal October 2018
Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach journal February 2019
Transient dynamics in interacting nanojunctions within self-consistent perturbation theory journal August 2018
Dressed quantum trajectories: novel approach to the non-Markovian dynamics of open quantum systems on a wide time scale journal June 2019
Markovian treatment of non-Markovian dynamics of open Fermionic systems journal December 2019
Local-noise spectroscopy for nonequilibrium systems journal December 2018
Auxiliary Master Equation for Nonequilibrium Dual-Fermion Approach journal May 2019
Lead geometry and transport statistics in molecular junctions journal June 2019
Backaction effects in cavity-coupled quantum conductors journal September 2019
Mean field theory of thermal energy transport in molecular junctions journal May 2019
Counting quantum jumps: A summary and comparison of fixed-time and fluctuating-time statistics in electron transport journal July 2019
Electron Traversal Times in Disordered Graphene Nanoribbons journal July 2019
Coherence-enhanced constancy of a quantum thermoelectric generator text January 2018
Waiting time between charging and discharging processes in molecular junctions text January 2018
Auxiliary master equation for nonequilibrium dual-fermion approach text January 2018
Dressed Quantum Trajectories: Novel Approach to the non-Markovian Dynamics of Open Quantum Systems on a Wide Time Scale text January 2018
Mean Field Theory of Thermal Energy Transport in Molecular Junctions text January 2019
Counting quantum jumps: a summary and comparison of fixed-time and fluctuating-time statistics in electron transport text January 2019

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