Generalization of the Landauer-Büttiker theory onto the case of dissipative contacts

Abstract

We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the problem by including into consideration relaxation processes in contacts (which are characterized by the contact self-thermalization rate $\gamma$) and then solve it by using the master equation approach. In the limit $\gamma \to 0$ the obtained results are shown to reproduce those of the Landauer-Büttiker theory. Thus, the presented analysis proves analytical correspondence between the Landauer-Büttiker and master-equation approaches to quantum transport, -- the problem which resisted solution for decades.

4 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2311.05995

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