Universality of Shot-Noise in Multiterminal Diffusive Conductors

TL;DR

This paper proves that shot-noise in multiterminal diffusive conductors is universal, non-local, and can occur without quantum coherence, providing testable predictions for various shapes and dimensions.

Contribution

It demonstrates the universality of shot-noise in multiterminal diffusive conductors using a Boltzmann-Langevin approach, applicable to arbitrary shapes and dimensions.

Findings

Shot-noise is universal in multiterminal diffusive conductors.

Shot-noise is a non-local quantity and can occur without quantum phase coherence.

Concrete numerical predictions for shot-noise are provided for experimental testing.

Abstract

We prove the universality of shot-noise in multiterminal diffusive conductors of arbitrary shape and dimension for purely elastic scattering as well as for hot electrons. Using a Boltzmann-Langevin approach we reduce the calculation of shot-noise correlators to the solution of a diffusion equation. We show that shot-noise in multiterminal conductors is a non-local quantity and that exchange effects can occur without quantum phase coherence even at zero electron temperature. Concrete numbers for shot-noise are given that can be tested experimentally.