Non-equilibrium Green's function theory for non-adiabatic effects in quantum transport: inclusion of electron-electron interactions

Kershaw, Vincent F., and Kosov, Daniel S. (2019) Non-equilibrium Green's function theory for non-adiabatic effects in quantum transport: inclusion of electron-electron interactions. Journal of Chemical Physics, 150. 074101.

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Abstract

Non-equilibrium Green's function theory for non-adiabatic effects in quantum transport [Kershaw and Kosov, J. Chem. Phys. 147, 224109 (2017) and J. Chem. Phys. 149, 044121 (2018)] is extended to the case of interacting electrons. We consider a general problem of quantum transport of interacting electrons through a central region with dynamically changing geometry. The approach is based on the separation of time scales in the non-equilibrium Green's functions and the use of the Wigner transformation to solve the Kadanoff-Baym equations. The Green's functions and correlation self-energy are non-adiabatically expanded up to the second order central time derivatives. We produce expressions for Green's functions with non-adiabatic corrections and a modified formula for electric current; both depend not only on instantaneous molecular junction geometry but also on nuclear velocities and accelerations. The theory is illustrated by the study of electron transport through a model single-resonant level molecular junction with local electron-electron repulsion and a dynamically changing geometry.

Item ID: 57231
Item Type: Article (Research - C1)
ISSN: 1089-7690
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Copyright Information: © 2019 Author(s). Published under license by AIP Publishing.
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A version of this publication was included as Chapter 3 of the following PhD thesis: Kershaw, Vincent Francis (2020) Non-adiabatic quantum transport and atomic motion in molecular-sized electronic systems. PhD thesis, James Cook University, which is available Open Access in ResearchOnline@JCU. Please see the Related URLs for access.

Date Deposited: 07 Mar 2019 06:35
FoR Codes: 51 PHYSICAL SCIENCES > 5199 Other physical sciences > 519999 Other physical sciences not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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