Nonequilibrium Green's function theory for nonadiabatic effects in quantum electron transport

Kershaw, Vincent F., and Kosov, Daniel S. (2017) Nonequilibrium Green's function theory for nonadiabatic effects in quantum electron transport. Journal of Chemical Physics, 147 (22). 224109.

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We develop nonequilibrium Green's function-based transport theory, which includes effects of nonadiabatic nuclear motion in the calculation of the electric current in molecular junctions. Our approach is based on the separation of slow and fast time scales in the equations of motion for Green's functions by means of the Wigner representation. Time derivatives with respect to central time serve as a small parameter in the perturbative expansion enabling the computation of nonadiabatic corrections to molecular Green's functions. Consequently, we produce a series of analytic expressions for non-adiabatic electronic Green's functions (up to the second order in the central time derivatives), which depend not solely on the instantaneous molecular geometry but likewise on nuclear velocities and accelerations. An extended formula for electric current is derived which accounts for the nonadiabatic corrections. This theory is concisely illustrated by the calculations on a model molecular junction.

Item ID: 51953
Item Type: Article (Research - C1)
ISSN: 1089-7690
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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: 10 Jan 2018 07:49
FoR Codes: 34 CHEMICAL SCIENCES > 3407 Theoretical and computational chemistry > 340704 Theoretical quantum chemistry @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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