Distribution of waiting times between electron cotunneling events

Rudge, Samuel L., and Kosov, Daniel S. (2018) Distribution of waiting times between electron cotunneling events. Physical Review B, 98. 245402.

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In the resonant tunneling regime, sequential processes dominate single-electron transport through quantum dots or molecules that are weakly coupled to macroscopic electrodes. In the Coulomb blockade regime, however, cotunneling processes dominate. Cotunneling is an inherently quantum phenomenon and thus gives rise to interesting observations, such as an increase in the current shot noise. Since cotunneling processes are inherently fast compared to the sequential processes, it is of interest to examine the short time behavior of systems where cotunneling plays a role, and whether these systems display nonrenewal statistics. We consider three questions in this paper. Given that an electron has tunneled from the source to the drain via a cotunneling or sequential process, what is the waiting time until another electron cotunnels from the source to the drain? What are the statistical properties of these waiting time intervals? How does cotunneling affect the statistical properties of a system with strong inelastic electron-electron interactions? In answering these questions, we extend the existing formalism for waiting time distributions in single-electron transport to include cotunneling processes via an n-resolved Markovian master equation. We demonstrate that for a single resonant level, the analytic waiting time distribution including cotunneling processes yields information on individual tunneling amplitudes. For both a SRL and an Anderson impurity deep in the Coulomb blockade, there is a nonzero probability for two electrons to cotunnel to the drain with zero waiting time in between. Furthermore, we show that at high voltages, cotunneling processes slightly modify the nonrenewal behavior of an Anderson impurity with a strong inelastic electron-electron interaction.

Item ID: 56594
Item Type: Article (Research - C1)
ISSN: 2469-9969
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Copyright Information: © 2018 American Physical Society
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A version of this publication was included as Chapter 4 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: 12 Dec 2018 23:13
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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