Telegraph noise in Markovian master equation for electron transport through molecular junctions

Kosov, Daniel S. (2018) Telegraph noise in Markovian master equation for electron transport through molecular junctions. Journal of Chemical Physics, 148 (18). 184108.

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Abstract

We present a theoretical approach to solve the Markovian master equation for quantum transport with stochastic telegraph noise. Considering probabilities as functionals of a random telegraph process, we use Novikov’s functional method to convert the stochastic master equation to a set of deterministic differential equations. The equations are then solved in the Laplace space, and the expression for the probability vector averaged over the ensemble of realisations of the stochastic process is obtained. We apply the theory to study the manifestations of telegraph noise in the transport properties of molecular junctions. We consider the quantum electron transport in a resonant-level molecule as well as polaronic regime transport in a molecular junction with electron-vibration interaction.

Item ID: 55901
Item Type: Article (Research - C1)
ISSN: 1089-7690
Copyright Information: Copyright © 2018 AIP Publishing LLC
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Date Deposited: 18 Oct 2018 22:50
FoR Codes: 34 CHEMICAL SCIENCES > 3407 Theoretical and computational chemistry > 340703 Statistical mechanics in chemistry @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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