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:
-
- Tel Aviv Univ. (Israel)
- Univ. of Michigan, Ann Arbor, MI (United States)
- Publication Date:
- 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.
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
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.
@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 = {2018},
month = {3}
}
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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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