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Title: Improved master equation approach to quantum transport: From Born to self-consistent Born approximation

Abstract

Beyond the second-order Born approximation, we propose an improved master equation approach to quantum transport under self-consistent Born approximation. The basic idea is to replace the free Green's function in the tunneling self-energy diagram by an effective reduced propagator under the Born approximation. This simple modification has remarkable consequences. It not only recovers the exact results for quantum transport through noninteracting systems under arbitrary voltages, but also predicts the challenging nonequilibrium Kondo effect. Compared to the nonequilibrium Green's function technique that formulates the calculation of specific correlation functions, the master equation approach contains richer dynamical information to allow more efficient studies for such as the shot noise and full counting statistics.

Authors:
 [1];  [1];  [2];  [2];  [3]
  1. Department of Physics, Hangzhou Normal University, Hangzhou 310036 (China)
  2. State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083 (China)
  3. Department of Chemistry, Hong Kong University of Science and Technology, Kowloon (Hong Kong)
Publication Date:
OSTI Identifier:
22311280
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 140; Journal Issue: 24; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BORN APPROXIMATION; CORRELATION FUNCTIONS; ELECTRIC POTENTIAL; EQUATIONS; GREEN FUNCTION; KONDO EFFECT; SELF-ENERGY; TUNNEL EFFECT

Citation Formats

Jin, Jinshuang, Li, Jun, College of Physics and Electronic Engineering, Dezhou University, Dezhou 253023, Liu, Yu, Li, Xin-Qi, Department of Physics, Beijing Normal University, Beijing 100875, Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Yan, YiJing, and Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026. Improved master equation approach to quantum transport: From Born to self-consistent Born approximation. United States: N. p., 2014. Web. doi:10.1063/1.4884390.
Jin, Jinshuang, Li, Jun, College of Physics and Electronic Engineering, Dezhou University, Dezhou 253023, Liu, Yu, Li, Xin-Qi, Department of Physics, Beijing Normal University, Beijing 100875, Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Yan, YiJing, & Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026. Improved master equation approach to quantum transport: From Born to self-consistent Born approximation. United States. https://doi.org/10.1063/1.4884390
Jin, Jinshuang, Li, Jun, College of Physics and Electronic Engineering, Dezhou University, Dezhou 253023, Liu, Yu, Li, Xin-Qi, Department of Physics, Beijing Normal University, Beijing 100875, Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Yan, YiJing, and Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026. 2014. "Improved master equation approach to quantum transport: From Born to self-consistent Born approximation". United States. https://doi.org/10.1063/1.4884390.
@article{osti_22311280,
title = {Improved master equation approach to quantum transport: From Born to self-consistent Born approximation},
author = {Jin, Jinshuang and Li, Jun and College of Physics and Electronic Engineering, Dezhou University, Dezhou 253023 and Liu, Yu and Li, Xin-Qi and Department of Physics, Beijing Normal University, Beijing 100875 and Department of Chemistry, Hong Kong University of Science and Technology, Kowloon and Yan, YiJing and Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026},
abstractNote = {Beyond the second-order Born approximation, we propose an improved master equation approach to quantum transport under self-consistent Born approximation. The basic idea is to replace the free Green's function in the tunneling self-energy diagram by an effective reduced propagator under the Born approximation. This simple modification has remarkable consequences. It not only recovers the exact results for quantum transport through noninteracting systems under arbitrary voltages, but also predicts the challenging nonequilibrium Kondo effect. Compared to the nonequilibrium Green's function technique that formulates the calculation of specific correlation functions, the master equation approach contains richer dynamical information to allow more efficient studies for such as the shot noise and full counting statistics.},
doi = {10.1063/1.4884390},
url = {https://www.osti.gov/biblio/22311280}, journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 24,
volume = 140,
place = {United States},
year = {Sat Jun 28 00:00:00 EDT 2014},
month = {Sat Jun 28 00:00:00 EDT 2014}
}