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Abstract: Using operator algebraic methods we show that the moment generating functionof charge transport in a system with infinitely many non-interacting Fermionsis given by a determinant of a certain operator in the one-particle Hilbertspace. The formula is equivalent to a formula of Levitov and Lesovik in thefinite dimensional case and may be viewed as its regularized form in general.Our result embodies two tenets often realized in mesoscopic physics, namely,that the transport properties are essentially independent of the length of theleads and of the depth of the Fermi sea.



Autor: Joseph E. Avron, Sven Bachmann, Gian Michele Graf, Israel Klich

Fuente: https://arxiv.org/







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