Numerically exact full counting statistics of the nonequilibrium Anderson impurity model

Ridley, Michael; Singh, Viveka N.; Gull, Emanuel; Cohen, Guy

doi:10.1103/PhysRevB.97.115109

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

Abstract

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

Authors:

Ridley, Michael ^[1]; Singh, Viveka N. ^[1]; Gull, Emanuel ^[2]; Cohen, Guy ^[1]

Tel Aviv Univ. (Israel)
Univ. of Michigan, Ann Arbor, MI (United States)

Publication Date:: Tue Mar 06 00:00:00 EST 2018

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

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

OSTI Identifier:: 1423876

Alternate Identifier(s):: OSTI ID: 1423919

Grant/Contract Number:: SC0010342; ER 46932

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 97; Journal Issue: 11; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Ridley, Michael, Singh, Viveka N., Gull, Emanuel, and Cohen, Guy. Numerically exact full counting statistics of the nonequilibrium Anderson impurity model.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevB.97.115109.

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                    Ridley, Michael, Singh, Viveka N., Gull, Emanuel, & Cohen, Guy. Numerically exact full counting statistics of the nonequilibrium Anderson impurity model.  United States.  https://doi.org/10.1103/PhysRevB.97.115109

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                    Ridley, Michael, Singh, Viveka N., Gull, Emanuel, and Cohen, Guy. Tue .  
"Numerically exact full counting statistics of the nonequilibrium Anderson impurity model".  United States.  https://doi.org/10.1103/PhysRevB.97.115109.  https://www.osti.gov/servlets/purl/1423876.

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@article{osti_1423876,

  title        = {Numerically exact full counting statistics of the nonequilibrium Anderson impurity model},

  author       = {Ridley, Michael and Singh, Viveka N. and Gull, Emanuel and Cohen, Guy},

  abstractNote = {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},

  doi          = {10.1103/PhysRevB.97.115109},

  journal      = {Physical Review B},

  number       = 11,

  volume       = 97,

  place        = {United States},

  year         = {Tue Mar 06 00:00:00 EST 2018},

  month        = {Tue Mar 06 00:00:00 EST 2018}

}

Copy to clipboard

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Figures / Tables:

Figure 1: Real and imaginary parts of the generating function of lead population change Z (λ, t) at inverse temperature β = 50/Γ, for a strongly correlated quantum junction in the zero-bias (left) and finite-bias (right) cases.

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Works referencing / citing this record:

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Superconducting proximity effect in interacting quantum dots revealed by shot noise journal, January 2011

Transient Dynamics in Molecular Junctions: Picosecond Resolution from dc Measurements by a Laser Pulse Pair Sequence Excitation journal, May 2013

Full-counting statistics of energy transport of molecular junctions in the polaronic regime journal, August 2017

Waiting times and noise in single particle transport journal, July 2008

Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems journal, December 2015

Cotunneling Current and Shot Noise in Quantum Dots journal, September 2005

Cotunneling and renormalization effects for the single-electron transistor journal, September 1998

Noise of a quantum dot system in the cotunneling regime journal, March 2001

Rectifying full-counting statistics in a spin Seebeck engine journal, February 2018

Towards Noise Simulation in Interacting Nonequilibrium Systems Strongly Coupled to Baths journal, August 2017

Theory of nonequilibrium transport in the SU ( N ) Kondo regime journal, October 2009

Full Counting Statistics in the Self-Dual Interacting Resonant Level Model journal, November 2011

Transport through an Anderson impurity: Current ringing, nonlinear magnetization, and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations journal, August 2015

Super-Poissonian shot noise in the resonant tunneling due to coupling with a localized level journal, July 2005

Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime journal, September 2015

Towards full counting statistics for the Anderson impurity model journal, May 2006

Numerically exact long-time behavior of nonequilibrium quantum impurity models journal, August 2011

Allowed Charge Transfers between Coherent Conductors Driven by a Time-Dependent Scatterer journal, February 2008

1/(N − 1) expansion approach to full-counting statistics for the SU(N) Anderson model journal, August 2013

Full Counting Statistics for Orbital-Degenerate Impurity Anderson Model with Hund’s Rule Exchange Coupling journal, June 2012

Towards quantum thermodynamics in electronic circuits journal, February 2015

Measurement of finite-frequency current statistics in a single-electron transistor journal, January 2012

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems journal, December 2009

Sub-Poissonian Shot Noise in Graphene journal, June 2006

Two-electron bunching in transport through a quantum dot induced by Kondo correlations journal, June 2008

Shot noise in mesoscopic conductors journal, September 2000

Noise spectra of a biased quantum dot journal, February 2009

Kondo crossover in shot noise of a single quantum dot with orbital degeneracy journal, February 2011

Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects journal, October 2010

Transport statistics of interacting double dot systems: Coherent and non-Markovian effects journal, December 2009

Enhanced Shot Noise in Resonant Tunneling: Theory and Experiment journal, February 1998

Currents and Green's functions of impurities out of equilibrium: Results from inchworm quantum Monte Carlo journal, February 2017

Noise spectra of an interacting quantum dot journal, December 2011

Curvature in graphene nanoribbons generates temporally and spatially focused electric currents journal, January 2015

Minimal-excitation states for electron quantum optics using levitons journal, October 2013

Waiting times of entangled electrons in normal–superconducting junctions journal, February 2016

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency journal, December 2015

Fractional Shot Noise in the Kondo Regime journal, August 2006

Interference effects in the counting statistics of electron transfers through a double quantum dot journal, May 2008

Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction journal, February 2011

Diagrammatic Monte Carlo simulation of nonequilibrium systems
journal, January 2009

Shot noise near the unitary limit of a Kondo quantum dot
journal, June 2006

Transport through nanostructures: Finite time versus finite size
journal, February 2014

Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
journal, September 2005

Full-counting statistics of time-dependent conductors
journal, November 2016

Quantum Shot Noise
journal, May 2003

Full Counting Statistics with Spin-Sensitive Detectors Reveals Spin Singlets
journal, June 2005

Short-time dynamics of molecular junctions after projective measurement
journal, August 2017

Inchworm Monte Carlo for exact non-adiabatic dynamics. II. Benchmarks and comparison with established methods
journal, February 2017

Inchworm Monte Carlo for exact non-adiabatic dynamics. I. Theory and algorithms
journal, February 2017

Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
journal, October 2005

Finite-time full counting statistics and factorial cumulants for transport through a quantum dot with normal and superconducting leads
journal, March 2016

Universality of non-equilibrium fluctuations in strongly correlated quantum liquids
journal, November 2015

Waiting time distribution of quantum electronic transport in the transient regime
journal, May 2014

Anderson model out of equilibrium: Noncrossing-approximation approach to transport through a quantum dot
journal, April 1994

Green’s Functions from Real-Time Bold-Line Monte Carlo Calculations: Spectral Properties of the Nonequilibrium Anderson Impurity Model
journal, April 2014

Continuous-time Monte Carlo methods for quantum impurity models
journal, May 2011

Quantum Noise as an Entanglement Meter
journal, March 2009

Electron Waiting Times in Mesoscopic Conductors
journal, May 2012

A Tunable Kondo Effect in Quantum Dots
journal, July 1998

Nonequilibrium quantum transport coefficients and transient dynamics of full counting statistics in the strong-coupling and non-Markovian regimes
journal, December 2016

Photon-assisted electron-hole shot noise in multiterminal conductors
journal, October 2005

Full counting statistics of transport through two-channel Coulomb blockade systems
journal, September 2007

Counting statistics of tunneling current
journal, September 2004

The noise is the signal
journal, April 1998

Evolution of the Kondo Effect in a Quantum Dot Probed by Shot Noise
journal, April 2011

Universal oscillations in counting statistics
journal, June 2009

Symmetry in full counting statistics, fluctuation theorem, and relations among nonlinear transport coefficients in the presence of a magnetic field
journal, September 2008

Transient fluctuation relations for time-dependent particle transport
journal, September 2010

Full-counting statistics of charge and spin transport in the transient regime: A nonequilibrium Green's function approach
journal, November 2014

Quantum Monte Carlo solution of the dynamical mean field equations in real time
journal, October 2017

Single-shot read-out of an individual electron spin in a quantum dot
journal, July 2004

Integer and fractional charge Lorentzian voltage pulses analyzed in the framework of photon-assisted shot noise
journal, August 2013

Finite-frequency noise properties of the nonequilibrium Anderson impurity model
journal, September 2012

Waiting time distributions of noninteracting fermions on a tight-binding chain
journal, June 2014

Violation of detailed balance for charge-transfer statistics in Coulomb-blockade systems: Violation of detailed balance for charge-transfer statistics
journal, October 2016

Superconducting proximity effect in interacting quantum dots revealed by shot noise
journal, January 2011

Transient Dynamics in Molecular Junctions: Picosecond Resolution from dc Measurements by a Laser Pulse Pair Sequence Excitation
journal, May 2013

Full-counting statistics of energy transport of molecular junctions in the polaronic regime
journal, August 2017

Waiting times and noise in single particle transport
journal, July 2008

Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems
journal, December 2015

Cotunneling Current and Shot Noise in Quantum Dots
journal, September 2005

Cotunneling and renormalization effects for the single-electron transistor
journal, September 1998

Noise of a quantum dot system in the cotunneling regime
journal, March 2001

Rectifying full-counting statistics in a spin Seebeck engine
journal, February 2018

Towards Noise Simulation in Interacting Nonequilibrium Systems Strongly Coupled to Baths
journal, August 2017

Theory of nonequilibrium transport in the $SU (N)$ Kondo regime
journal, October 2009

Full Counting Statistics in the Self-Dual Interacting Resonant Level Model
journal, November 2011

Transport through an Anderson impurity: Current ringing, nonlinear magnetization, and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations
journal, August 2015

Super-Poissonian shot noise in the resonant tunneling due to coupling with a localized level
journal, July 2005

Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime
journal, September 2015

Towards full counting statistics for the Anderson impurity model
journal, May 2006

Numerically exact long-time behavior of nonequilibrium quantum impurity models
journal, August 2011

Allowed Charge Transfers between Coherent Conductors Driven by a Time-Dependent Scatterer
journal, February 2008

1/(N − 1) expansion approach to full-counting statistics for the SU(N) Anderson model
journal, August 2013

Full Counting Statistics for Orbital-Degenerate Impurity Anderson Model with Hund’s Rule Exchange Coupling
journal, June 2012

Towards quantum thermodynamics in electronic circuits
journal, February 2015

Measurement of finite-frequency current statistics in a single-electron transistor
journal, January 2012

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
journal, December 2009

Sub-Poissonian Shot Noise in Graphene
journal, June 2006

Two-electron bunching in transport through a quantum dot induced by Kondo correlations
journal, June 2008

Shot noise in mesoscopic conductors
journal, September 2000

Noise spectra of a biased quantum dot
journal, February 2009

Kondo crossover in shot noise of a single quantum dot with orbital degeneracy
journal, February 2011

Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
journal, October 2010

Transport statistics of interacting double dot systems: Coherent and non-Markovian effects
journal, December 2009

Enhanced Shot Noise in Resonant Tunneling: Theory and Experiment
journal, February 1998

Currents and Green's functions of impurities out of equilibrium: Results from inchworm quantum Monte Carlo
journal, February 2017

Noise spectra of an interacting quantum dot
journal, December 2011

Curvature in graphene nanoribbons generates temporally and spatially focused electric currents
journal, January 2015

Minimal-excitation states for electron quantum optics using levitons
journal, October 2013

Waiting times of entangled electrons in normal–superconducting junctions
journal, February 2016

Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency
journal, December 2015

Fractional Shot Noise in the Kondo Regime
journal, August 2006

Interference effects in the counting statistics of electron transfers through a double quantum dot
journal, May 2008

Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
journal, February 2011

Real-time dynamics in quantum impurity models with diagrammatic Monte Carlo
journal, February 2010

Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
journal, July 2009

Full Counting Statistics for Interacting Fermions with Determinantal Quantum Monte Carlo Simulations
journal, December 2017

Full counting statistics of charge transfer in Coulomb blockade systems
journal, February 2003