Fluctuating-time and full counting statistics for quantum transport in a system with internal telegraphic noise

Rudge, Samuel L., and Kosov, Daniel S. (2019) Fluctuating-time and full counting statistics for quantum transport in a system with internal telegraphic noise. Physical Review B, 100. 235430.

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Many molecular junctions display stochastic telegraphic switching between two distinct current values, which is an important source of fluctuations in nanoscale quantum transport. Using Markovian master equations, we investigate electronic fluctuations and identify regions of nonrenewal behavior arising from telegraphic switching. Nonrenewal behavior is characterized by the emergence of correlations between successive first- passage times of detection in one of the leads. Our method of including telegraphic switching is general for any source-molecule-drain setup, but we consider three specific cases. In the first, we model stochastic transitions between an Anderson impurity with and without an applied magnetic field B. The other two scenarios couple the electronic level to a single vibrational mode via the Holstein model. We then stochastically switch between two vibrational conformations, with different electron-phonon coupling λ and vibrational frequency ω, which corresponds to different molecular conformations. Finally, we model the molecule attaching and detaching from an electrode by switching between two different molecule-electrode coupling strengths γ . We find, for all three cases, that including the telegraph process in the master equation induces relatively strong positive correlations between successive first-passage times, with Pearson coefficient p ≈ 0.5. These correlations only appear, however, when there is telegraphic switching between two significantly different transport scenarios, and we show that it arises from the underlying physics of the model. We also find that, in order for correlations to appear, the switching rate ν must be much smaller than γ.

Item ID: 61273
Item Type: Article (Research - C1)
ISSN: 2469-9969
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Copyright Information: © 2019 American Physical Society
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A version of this publication was included as Chapter 6 of the following PhD thesis: Rudge, Samuel (2020) Fluctuation statistics and non-renewal behavior in nanoscale quantum transport. PhD thesis, James Cook University, which is available Open Access in ResearchOnline@JCU. Please see the Related URLs for access.

Funders: Australian Government Research Training Program Scholarship
Date Deposited: 29 Jan 2020 01:14
FoR Codes: 51 PHYSICAL SCIENCES > 5108 Quantum physics > 510899 Quantum physics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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