skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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)

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

References (180)

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
Steady-State Currents through Nanodevices: A Scattering-States Numerical Renormalization-Group Approach to Open Quantum Systems journal August 2008
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
Memory effects in nonequilibrium quantum impurity models journal August 2011
Full Counting Statistics for the Kondo Dot in the Unitary Limit journal July 2006
Full counting statistics of noncommuting variables: The case of spin counts journal March 2006
Scattering theory of thermal and excess noise in open conductors journal December 1990
Factorial cumulants reveal interactions in counting statistics journal February 2011
Time-dependent factorial cumulants in interacting nano-scale systems journal May 2013
Green's functions from real-time bold-line Monte Carlo journal March 2014
Inelastic scattering and heating in a molecular spin pump journal February 2010
Factorization of quantum charge transport for noninteracting fermions journal May 2009
Waiting Time Distributions for the Transport through a Quantum-Dot Tunnel Coupled to One Normal and One Superconducting Lead journal August 2013
Numerically exact long-time magnetization dynamics at the nonequilibrium Kondo crossover of the Anderson impurity model journal May 2013
Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects journal January 2006
Nonsymmetrized noise in a quantum dot: Interpretation in terms of energy transfer and coherent superposition of scattering paths journal June 2016
Counting statistics for the Anderson impurity model: Bethe ansatz and Fermi liquid study journal October 2007
Steps and dips in the ac conductance and noise of mesoscopic structures journal May 2007
Doubled Full Shot Noise in Quantum Coherent Superconductor-Semiconductor Junctions journal February 2003
Real-Time Path Integral Approach to Nonequilibrium Many-Body Quantum Systems journal May 2008
Effects of Fermi Liquid Interactions on the Shot Noise of an SU ( N ) Kondo Quantum Dot journal January 2008
Frequency-dependent counting statistics in interacting nanoscale conductors journal October 2007
Full counting statistics for SU( N ) impurity Anderson model journal June 2011
Current Noise through a Kondo Quantum Dot in a SU ( N ) Fermi Liquid State journal January 2008
Field Theory of Non-Equilibrium Systems book January 2011
Energy and power fluctuations in ac-driven coherent conductors journal August 2014
Full counting statistics of spin transfer through ultrasmall quantum dots journal December 2007
Continuous-Time Solver for Quantum Impurity Models journal August 2006
Asymmetric Quantum Shot Noise in Quantum Dots journal September 2004
Full Counting Statistics for the Kondo Dot journal June 2005
Full Counting Statistics of Spin Currents journal July 2004
Enhanced Shot Noise in Resonant Tunneling via Interacting Localized States journal September 2003
Observation of the e / 3 Fractionally Charged Laughlin Quasiparticle journal September 1997
Impact of Coulomb interaction and Kondo effect on transport in quantum dots journal April 2007
Time-dependent partition-free approach in resonant tunneling systems journal May 2004
Full counting statistics of a single-molecule quantum dot journal August 2013
High cumulants in the counting statistics measured for a quantum dot journal February 2010
Vibrational cooling, heating, and instability in molecular conducting junctions: full counting statistics analysis journal January 2012
Localized Magnetic States in Metals journal October 1961
Nonequilibrium dynamical mean-field calculations based on the noncrossing approximation and its generalizations journal September 2010
Theory of strong inelastic cotunneling journal December 1995
Quantum Dissipative Systems book March 2012
Full-counting statistics of transient energy current in mesoscopic systems journal May 2016
Sequential tunneling and inelastic cotunneling in nanoparticle arrays journal August 2008
Self-consistent full counting statistics of inelastic transport journal November 2011
Non-Markovian spin-resolved counting statistics and an anomalous relation between autocorrelations and cross correlations in a three-terminal quantum dot journal January 2017
Bold-line diagrammatic Monte Carlo method: General formulation and application to expansion around the noncrossing approximation journal August 2010
Using Qubits to Measure Fidelity in Mesoscopic Systems journal March 2006
Inelastic interaction corrections and universal relations for full counting statistics in a quantum contact journal December 2005
Transition from sub-Poissonian to super-Poissonian shot noise in resonant quantum wells journal April 1999
Pump–Probe Noise Spectroscopy of Molecular Junctions journal January 2015
Full counting statistics in the not-so-long-time limit journal October 2015
Full-counting statistics for molecular junctions: Fluctuation theorem and singularities journal March 2013
Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction journal February 2017
Waiting time distributions of electron transfers through quantum dot Aharonov-Bohm interferometers journal March 2009
Electron counting statistics and coherent states of electric current journal October 1996
Noise Enhancement due to Quantum Coherence in Coupled Quantum Dots journal November 2007
Counting Statistics of Single Electron Transport in a Quantum Dot journal February 2006
Noise enhancement due to quantum coherence in coupled quantum dots other January 2007
Counting statistics of single electron transport in a quantum dot
  • 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
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems text January 2008
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
Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias text January 2016
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
Quantum Shot Noise text January 2006
Enhanced shot noise in resonant tunneling: theory and experiment text January 1997
Shot Noise in Mesoscopic Conductors text January 1999

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

Figures / Tables (14)


Similar Records

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 · OSTI ID:1423876

Currents and Green's functions of impurities out of equilibrium: Results from inchworm quantum Monte Carlo
Journal Article · Mon Feb 27 00:00:00 EST 2017 · Physical Review B · OSTI ID:1423876

Lead geometry and transport statistics in molecular junctions
Journal Article · Tue Jun 25 00:00:00 EDT 2019 · Journal of Chemical Physics · OSTI ID:1423876

Related Subjects