Transmission Probability for Interacting Electrons Connected to Reservoirs

概要

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Transport through small interacting systems connected to noninteracting leads is studied based on the Kubo formalism using a Éliashberg theory of the analytic properties of the vertex part. The transmission probability, by which the conductance is expressed as $g = (2e^{2}/h) \int \text{d}\epsilon (- \partial f / \partial \epsilon) \mathcal{T}(\epsilon)$, is introduced for interacting electrons. Here f(ε) is the Fermi function, and the transmission probability T(ε) is defined in terms of a current vertex or a three-point correlation function. We apply this formulation to a series of Anderson impurities of size N (=1, 2, 3, 4), and calculate T(ε) using the order U2 self-energy and current vertex which satisfy a generalized Ward identity. The results show that T(ε) has much information about the excitation spectrum: T(ε) has two broad peaks of the upper and lower Hubbard bands in addition to N resonant peaks which have direct correspondence with the noninteracting spectrum. The peak structures disappear at high temperatures.
Physical Society of Japanの論文
2001-09-15