Shot noise in the chaotic-to-regular crossover regime

TL;DR

This paper studies shot noise in quantum transport during the transition from chaotic to regular dynamics, revealing that diffraction at lead openings dominates noise in regular systems and developing a quasi-classical model for noise suppression.

Contribution

It introduces a quasi-classical transport model for shot noise in the chaotic-to-regular crossover regime and compares it with numerical quantum data.

Findings

Fano factor and transmission eigenvalue distribution are similar for regular and chaotic systems.

Diffraction at lead openings is the main source of shot noise in regular systems.

The quasi-classical model accurately predicts shot noise suppression during the crossover.

Abstract

We investigate the shot noise for phase-coherent quantum transport in the chaotic-to-regular crossover regime. Employing the Modular Recursive Green's Function Method for both ballistic and disordered two-dimensional cavities we find the Fano factor and the transmission eigenvalue distribution for regular systems to be surprisingly similar to those for chaotic systems. We argue that in the case of regular dynamics in the cavity, diffraction at the lead openings is the dominant source of shot noise. We also explore the onset of the crossover from quantum to classical transport and develop a quasi-classical transport model for shot noise suppression which agrees with the numerical quantum data.