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Title: Lead geometry and transport statistics in molecular junctions

Abstract

We present a numerically exact study of charge transport and its fluctuations through a molecular junction driven out of equilibrium by a bias voltage, using the inchworm quantum Monte Carlo method. After showing how the technique can be used to address any lead geometry, we concentrate on one dimensional chains as an example. The finite bandwidth of the leads is shown to affect transport properties in ways that cannot be fully captured by quantum master equations: in particular, we reveal an interaction-induced broadening of transport channels that is visible at all voltages and show how fluctuations of the current are a more sensitive probe of this effect than the mean current.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Tel Aviv Univ., Tel Aviv (Israel)
  2. Univ. of Michigan, Ann Arbor, MI (United States); Flatiron Institute, New York, NY (United States)
  3. Tel Aviv Univ., Tel Aviv (Israel)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1611399
Alternate Identifier(s):
OSTI ID: 1529411
Grant/Contract Number:  
SC0010342; ER 46932
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 150; Journal Issue: 24; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Chemistry; Physics; Many body problems; Electronic noise; Molecular electronic devices; Charge transport; Monte Carlo methods; Electronic transport; Signal processing; Transport properties

Citation Formats

Ridley, Michael, Gull, Emanuel, and Cohen, Guy. Lead geometry and transport statistics in molecular junctions. United States: N. p., 2019. Web. doi:10.1063/1.5096244.
Ridley, Michael, Gull, Emanuel, & Cohen, Guy. Lead geometry and transport statistics in molecular junctions. United States. https://doi.org/10.1063/1.5096244
Ridley, Michael, Gull, Emanuel, and Cohen, Guy. Tue . "Lead geometry and transport statistics in molecular junctions". United States. https://doi.org/10.1063/1.5096244. https://www.osti.gov/servlets/purl/1611399.
@article{osti_1611399,
title = {Lead geometry and transport statistics in molecular junctions},
author = {Ridley, Michael and Gull, Emanuel and Cohen, Guy},
abstractNote = {We present a numerically exact study of charge transport and its fluctuations through a molecular junction driven out of equilibrium by a bias voltage, using the inchworm quantum Monte Carlo method. After showing how the technique can be used to address any lead geometry, we concentrate on one dimensional chains as an example. The finite bandwidth of the leads is shown to affect transport properties in ways that cannot be fully captured by quantum master equations: in particular, we reveal an interaction-induced broadening of transport channels that is visible at all voltages and show how fluctuations of the current are a more sensitive probe of this effect than the mean current.},
doi = {10.1063/1.5096244},
journal = {Journal of Chemical Physics},
number = 24,
volume = 150,
place = {United States},
year = {Tue Jun 25 00:00:00 EDT 2019},
month = {Tue Jun 25 00:00:00 EDT 2019}
}

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Cited by: 18 works
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Works referenced in this record:

Efficient propagation of the hierarchical equations of motion using the matrix product state method
journal, May 2018

  • Shi, Qiang; Xu, Yang; Yan, Yaming
  • The Journal of Chemical Physics, Vol. 148, Issue 17
  • DOI: 10.1063/1.5026753

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

  • Chen, Hsing-Ta; Cohen, Guy; Reichman, David R.
  • The Journal of Chemical Physics, Vol. 146, Issue 5
  • DOI: 10.1063/1.4974329

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

  • Chen, Hsing-Ta; Cohen, Guy; Reichman, David R.
  • The Journal of Chemical Physics, Vol. 146, Issue 5
  • DOI: 10.1063/1.4974328

Driven Liouville von Neumann Equation in Lindblad Form
journal, February 2016

  • Hod, Oded; Rodríguez-Rosario, César A.; Zelovich, Tamar
  • The Journal of Physical Chemistry A, Vol. 120, Issue 19
  • DOI: 10.1021/acs.jpca.5b12212

Auxiliary Master Equation for Nonequilibrium Dual-Fermion Approach
journal, May 2019


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

  • Ferrier, Meydi; Arakawa, Tomonori; Hata, Tokuro
  • Nature Physics, Vol. 12, Issue 3
  • DOI: 10.1038/nphys3556

A semiclassical model for the non-equilibrium quantum transport of a many-electron Hamiltonian coupled to phonons
journal, May 2012


The noise is the signal
journal, April 1998


T IME -D EPENDENT Q UANTUM M ETHODS FOR L ARGE S YSTEMS
journal, October 1999


Parameter-free driven Liouville-von Neumann approach for time-dependent electronic transport simulations in open quantum systems
journal, March 2017

  • Zelovich, Tamar; Hansen, Thorsten; Liu, Zhen-Fei
  • The Journal of Chemical Physics, Vol. 146, Issue 9
  • DOI: 10.1063/1.4976731

Chemical Dynamics in Condensed Phases
book, April 2006


Symmetry breaking and restoration using the equation-of-motion technique for nonequilibrium quantum impurity models
journal, February 2013


Comparative study of theoretical methods for non-equilibrium quantum transport
journal, April 2010


Quantitative Current–Voltage Characteristics in Molecular Junctions from First Principles
journal, February 2012

  • Darancet, Pierre; Widawsky, Jonathan R.; Choi, Hyoung Joon
  • Nano Letters, Vol. 12, Issue 12
  • DOI: 10.1021/nl3033137

Shot noise and magnetism of Pt atomic chains: Accumulation of points at the boundary
journal, December 2013


State Representation Approach for Atomistic Time-Dependent Transport Calculations in Molecular Junctions
journal, June 2014

  • Zelovich, Tamar; Kronik, Leeor; Hod, Oded
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 8
  • DOI: 10.1021/ct500135e

Quantum Fluctuations along Symmetry Crossover in a Kondo-Correlated Quantum Dot
journal, May 2017


A numerical renormalization group approach to non-equilibrium Green functions for quantum impurity models
journal, April 2008


Steady-state and quench-dependent relaxation of a quantum dot coupled to one-dimensional leads
journal, July 2013


Sub-Ohmic to super-Ohmic crossover behavior in nonequilibrium quantum systems with electron-phonon interactions
journal, November 2015


Experimental determination of conduction channels in atomic-scale conductors based on shot noise measurements
journal, October 2013


Distributions of Waiting Times of Dynamic Single-Electron Emitters
journal, August 2011


Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
journal, July 2013


Current fluctuations in the transient regime: An exact formulation for mesoscopic systems
journal, February 2008


Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias
journal, April 2017


Universal approach to quantum thermodynamics in the strong coupling regime
journal, October 2018


Application of a semiclassical model for the second-quantized many-electron Hamiltonian to nonequilibrium quantum transport: The resonant level model
journal, April 2011

  • Swenson, David W. H.; Levy, Tal; Cohen, Guy
  • The Journal of Chemical Physics, Vol. 134, Issue 16
  • DOI: 10.1063/1.3583366

Towards quantum thermodynamics in electronic circuits
journal, February 2015


Propagation scheme for nonequilibrium dynamics of electron transport in nanoscale devices
journal, December 2009


Nonequilibrium Fluctuation Relations in a Quantum Coherent Conductor
journal, February 2010


Electrical resistance: an atomistic view
journal, May 2004


Counting statistics and decoherence in coupled quantum dots
journal, January 2006


Quantum and classical Fokker-Planck equations for a Gaussian-Markovian noise bath
journal, April 1991


Counting Statistics of Non-Markovian Quantum Stochastic Processes
journal, April 2008


Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
journal, August 2018

  • Erpenbeck, A.; Hertlein, C.; Schinabeck, C.
  • The Journal of Chemical Physics, Vol. 149, Issue 6
  • DOI: 10.1063/1.5041716

Driven Liouville von Neumann Approach for Time-Dependent Electronic Transport Calculations in a Nonorthogonal Basis-Set Representation
journal, July 2016

  • Zelovich, Tamar; Kronik, Leeor; Hod, Oded
  • The Journal of Physical Chemistry C, Vol. 120, Issue 28
  • DOI: 10.1021/acs.jpcc.6b03838

Single-Molecule Circuits with Well-Defined Molecular Conductance
journal, February 2006

  • Venkataraman, Latha; Klare, Jennifer E.; Tam, Iris W.
  • Nano Letters, Vol. 6, Issue 3
  • DOI: 10.1021/nl052373+

Path-integral simulations with fermionic and bosonic reservoirs: Transport and dissipation in molecular electronic junctions
journal, June 2013

  • Simine, Lena; Segal, Dvira
  • The Journal of Chemical Physics, Vol. 138, Issue 21
  • DOI: 10.1063/1.4808108

Steady state conductance in a double quantum dot array: The nonequilibrium equation-of-motion Green function approach
journal, April 2013

  • Levy, Tal J.; Rabani, Eran
  • The Journal of Chemical Physics, Vol. 138, Issue 16
  • DOI: 10.1063/1.4802752

Amine−Gold Linked Single-Molecule Circuits:  Experiment and Theory
journal, November 2007

  • Quek, Su Ying; Venkataraman, Latha; Choi, Hyoung Joon
  • Nano Letters, Vol. 7, Issue 11
  • DOI: 10.1021/nl072058i

Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
journal, June 2008

  • Jin, Jinshuang; Zheng, Xiao; Yan, YiJing
  • The Journal of Chemical Physics, Vol. 128, Issue 23
  • DOI: 10.1063/1.2938087

Revealing the Role of Anchoring Groups in the Electrical Conduction Through Single-Molecule Junctions
journal, June 2010


Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
journal, July 2007


Kwant: a software package for quantum transport
journal, June 2014


Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
journal, June 2015


Single Molecular Conductance of Tolanes: Experimental and Theoretical Study on the Junction Evolution Dependent on the Anchoring Group
journal, January 2012

  • Hong, Wenjing; Manrique, David Zsolt; Moreno-García, Pavel
  • Journal of the American Chemical Society, Vol. 134, Issue 4
  • DOI: 10.1021/ja209844r

Coulomb blockade in a silicon/silicon–germanium two-dimensional electron gas quantum dot
journal, May 2004

  • Klein, L. J.; Slinker, K. A.; Truitt, J. L.
  • Applied Physics Letters, Vol. 84, Issue 20
  • DOI: 10.1063/1.1751612

Fluctuation theorems for quantum master equations
journal, April 2006


Molecule–Lead Coupling at Molecular Junctions: Relation between the Real- and State-Space Perspectives
journal, September 2015

  • Zelovich, Tamar; Kronik, Leeor; Hod, Oded
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 10
  • DOI: 10.1021/acs.jctc.5b00612

Current through a multilead nanojunction in response to an arbitrary time-dependent bias
journal, March 2015


Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
journal, February 2019

  • Kilgour, Michael; Agarwalla, Bijay Kumar; Segal, Dvira
  • The Journal of Chemical Physics, Vol. 150, Issue 8
  • DOI: 10.1063/1.5084949

The Kondo Problem to Heavy Fermions
book, January 1993


Numerically exact path-integral simulation of nonequilibrium quantum transport and dissipation
journal, November 2010


Electronic noise due to temperature differences in atomic-scale junctions
journal, October 2018


Nonequilibrium Kondo effect in a magnetic field: auxiliary master equation approach
journal, January 2018

  • Fugger, Delia M.; Dorda, Antonius; Schwarz, Frauke
  • New Journal of Physics, Vol. 20, Issue 1
  • DOI: 10.1088/1367-2630/aa9fdc

Full counting statistics of nano-electromechanical systems
journal, February 2005


Self-Consistent Quantum Master Equation Approach to Molecular Transport
journal, July 2010

  • Esposito, Massimiliano; Galperin, Michael
  • The Journal of Physical Chemistry C, Vol. 114, Issue 48
  • DOI: 10.1021/jp103369s

Nonequilibrium Kondo model: Crossover from weak to strong coupling
journal, June 2012


Multilayer formulation of the multiconfiguration time-dependent Hartree theory
journal, July 2003

  • Wang, Haobin; Thoss, Michael
  • The Journal of Chemical Physics, Vol. 119, Issue 3
  • DOI: 10.1063/1.1580111

Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction
journal, February 2017

  • Kosov, Daniel S.
  • The Journal of Chemical Physics, Vol. 146, Issue 7
  • DOI: 10.1063/1.4976561

Transient current-current correlations and noise spectra
journal, March 2014


Born-Oppenheimer Dynamics, Electronic Friction, and the Inclusion of Electron-Electron Interactions
journal, July 2017


Electron counting statistics and coherent states of electric current
journal, October 1996

  • Levitov, Leonid S.; Lee, Hyunwoo; Lesovik, Gordey B.
  • Journal of Mathematical Physics, Vol. 37, Issue 10
  • DOI: 10.1063/1.531672

Iterative real-time path integral approach to nonequilibrium quantum transport
journal, May 2008


Irreversibility on the Level of Single-Electron Tunneling
text, January 2012


Kwant: a software package for quantum transport
audiovisual, January 2014

  • Groth, Christoph W.; Wimmer, Michael; Akhmerov, Anton R.
  • Institute of Physics (IOP),Deutsche Physikalische Gesellschaft (DPG)
  • DOI: 10.5446/38724

Single Molecular Conductance of Tolanes: Experimental and Theoretical Study on the Junction Evolution Dependent on the Anchoring Group
text, January 2011

  • Moreno-García, Pavel; Gulcur, Murat; Manrique, David Zsolt
  • American Chemical Society
  • DOI: 10.7892/boris.39893

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
text, January 2008


Comparative study of theoretical methods for nonequilibrium quantum transport
text, January 2010


Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
text, January 2010


Distributions of Waiting Times of Dynamic Single-Electron Emitters
text, January 2011


Memory Effects In Nonequilibrium Quantum Impurity Models
text, January 2011


Nonequilibrium Kondo model: Crossover from weak to strong coupling
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


Shot noise and magnetism of Pt atomic chains: accumulation of points at the boundary
text, January 2014


Universality of Non-equilibrium Fluctuations in Strongly Correlated Quantum Liquids
text, January 2015


The Driven Liouville von Neumann Equation in Lindblad Form
text, January 2015


Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
text, January 2017


Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
text, January 2018


A universal approach to quantum thermodynamics in the strong coupling regime
text, January 2018


Auxiliary master equation for nonequilibrium dual-fermion approach
text, January 2018


Electrical resistance: an atomistic view
text, January 2004


Single-Molecule Circuits with Well-Defined Molecular Conductance
text, January 2006


The numerical renormalization group method for quantum impurity systems
text, January 2007


Electronic noise due to temperature differences in atomic-scale junctions
journal, October 2018


Iterative real-time path integral approach to nonequilibrium quantum transport
text, January 2008


Quantum master equation for electron transport through quantum dots and single molecules
text, January 2006


Works referencing / citing this record:

Special topic on dynamics of open quantum systems
journal, January 2020

  • Berkelbach, Timothy C.; Thoss, Michael
  • The Journal of Chemical Physics, Vol. 152, Issue 2
  • DOI: 10.1063/1.5142731

Electron Traversal Times in Disordered Graphene Nanoribbons
journal, July 2019

  • Ridley, Michael; Sentef, Michael; Tuovinen, Riku
  • Entropy, Vol. 21, Issue 8
  • DOI: 10.3390/e21080737