Theory of conductance and noise additivity in parallel mesoscopic conductors

TL;DR

This paper develops a theoretical framework for understanding how conductance and noise add in parallel mesoscopic conductors, highlighting the role of junctions and implications for Aharonov-Bohm devices.

Contribution

It introduces a theory explaining the additivity of conductance and noise in parallel mesoscopic conductors based solely on junction properties.

Findings

Conductance and noise additivity depend only on junction properties.

Implications for device functionality based on the Aharonov-Bohm effect.

Provides a unified theoretical approach for mesoscopic parallel conductors.

Abstract

We present a theory of conductance and noise in generic mesoscopic conductors connected in parallel, and we demonstrate that the additivity of conductance and of shot noise arises as a sole property of the junctions connecting the two (or more) conductors in parallel. Consequences on the functionality of devices based on the Aharonov-Bohm effect are also drawn.