Statistics of thermal to shot noise crossover in chaotic cavities

TL;DR

This paper extends an integrable quantum transport theory to analyze fluctuations of noise power in chaotic cavities, revealing universal behaviors and connections to conductance statistics across thermal and shot noise regimes.

Contribution

It introduces a comprehensive analysis of noise power fluctuations in chaotic cavities, linking thermal and shot noise statistics with conductance, in a universal transport regime.

Findings

Dependence of noise cumulants on temperature, bias, and modes

Universal noise fluctuation behavior in chaotic cavities

Connection between noise crossover statistics and conductance

Abstract

Recently formulated integrable theory of quantum transport [Osipov and Kanzieper, Phys. Rev. Lett. 101, 176804 (2008); arXiv:0806.2784] is extended to describe sample-to-sample fluctuations of the noise power in chaotic cavities with broken time-reversal symmetry. Concentrating on the universal transport regime, we determine dependence of the noise power cumulants on the temperature, applied bias voltage, and the number of propagating modes in the leads. Intrinsic connection between statistics of thermal to shot noise crossover and statistics of Landauer conductance is revealed and briefly discussed.