Random matrix study for a three-terminal chaotic device

TL;DR

This paper uses random matrix theory to analyze voltage behavior in a three-terminal chaotic device, revealing notable differences from disordered systems previously studied.

Contribution

It introduces a novel random matrix approach to study voltage drops in chaotic mesoscopic devices with three terminals, expanding understanding beyond disordered models.

Findings

Significant differences from disordered systems

Random matrix theory effectively models chaotic cavities

Voltage measurements depend on device configuration

Abstract

We perform a study based on a random-matrix theory simulation for a three-terminal device, consisting of chaotic cavities on each terminal. We analyze the voltage drop along one wire with two chaotic mesoscopic cavities, connected by a perfect conductor, or waveguide, with one open mode. This is done by means of a probe, which also consists of a chaotic cavity that measure the voltage in different configurations. Our results show significant differences with respect to the disordered case, previously considered in the literature.