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arXiv · 0908.1892

Full counting statistics for noninteracting fermions: Exact finite temperature results and generalized long time approximation

K. Schönhammer
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Abstract

Exact numerical results for the full counting statistics (FCS) of a one-dimensional tight-binding model of noninteracting electrons are presented at finite temperatures using an identity recently presented by Abanov and Ivanov. A similar idea is used to derive a new expression for the cumulant generating function for a system consisting of two quasi-one-dimensional leads connected by a quantum dot in the long time limit. This provides a generalization of the Levitov-Lesovik formula for such systems.

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K. Schönhammer. 2009-11-23. Full counting statistics for noninteracting fermions: Exact finite temperature results and generalized long time approximation. https://doi.org/10.1088/0953-8984%2F21%2F49%2F495306

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