The effect of symmetry class transitions on the shot noise in chaotic quantum dots

TL;DR

This paper uses random matrix theory to analyze how symmetry class transitions affect shot noise in chaotic quantum dots, revealing a simple relation between conductance and shot noise corrections influenced by magnetic field and spin-orbit coupling.

Contribution

It establishes a straightforward relation between weak localization corrections to conductance and shot noise in chaotic cavities, demonstrating the equivalence of semiclassical and RMT approaches.

Findings

Derived a simple relation between conductance and shot noise corrections.

Confirmed the relation in the orthogonal-unitary crossover case.

Showed the equivalence of semiclassical and RMT methods.

Abstract

Using the random matrix theory (RMT) approach, we calculated the weak localization correction to the shot noise power in a chaotic cavity as a function of magnetic field and spin-orbit coupling. We found a remarkably simple relation between the weak localization correction to the conductance and to the shot noise power, that depends only on the channel number asymmetry of the cavity. In the special case of an orthogonal-unitary crossover, our result coincides with the prediction of Braun et. al [J. Phys. A: Math. Gen. {\bf 39}, L159-L165 (2006)], illustrating the equivalence of the semiclassical method to RMT.