Waiting time between charging and discharging processes in molecular junctions

Kosov, Daniel S. (2018) Waiting time between charging and discharging processes in molecular junctions. Journal of Chemical Physics, 149.

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View at Publisher Website: https://doi.org/10.1063/1.5049770
 
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Abstract

When electric current flows through a molecular junction, the molecule constantly charges and discharges by tunneling electrons. These charging and discharging events occur at specific but random times and are separated by stochastic time intervals. These time intervals can be associated with the dwelling time for a charge (electron or hole) to reside on the molecule. In this paper, the statistical properties of these time intervals are studied and a general formula for their distribution is derived. The theory is based on the Markovian master equation which takes into account transitions between the vibrational states of charged and neutral molecules in the junction. Two quantum jump operators are identified from the Liouvillian of the master equation—one corresponds to charging of the molecule and the other discharges the molecule back to the neutral state. The quantum jump operators define the conditional probability that given that the molecule was charged by a tunneling electron at time t, the molecule becomes neutral at a later time t + τ discharging the electron to the drain electrode. Statistical properties of these time intervals τ are studied with the use of this distribution.

Item ID: 55957
Item Type: Article (Refereed Research - C1)
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ISSN: 1089-7690
Date Deposited: 25 Oct 2018 21:28
FoR Codes: 02 PHYSICAL SCIENCES > 0204 Condensed Matter Physics > 020499 Condensed Matter Physics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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