Statistics of thermal to shot noise crossover in chaotic cavities

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.

💡 Research Summary

The paper extends the recently developed integrable theory of quantum transport (Osipov & Kanzieper, PRL 101, 176804, 2008) to the problem of sample‑to‑sample fluctuations of the noise power in chaotic cavities with broken time‑reversal symmetry (β = 2). The authors consider a universal transport regime where the cavity is connected to two leads supporting N₁ and N₂ propagating modes, and the scattering matrix S belongs to the circular unitary ensemble (CUE). Within this setting the Landauer‑Büttiker conductance G and the zero‑frequency noise power P are random variables whose joint statistics can be encoded in a generating function Z(ξ, η) = ⟨exp