Effects of a continuous quantum measurement on the electric conductivity: Application to graphene

TL;DR

This paper develops a theoretical framework using linear-response theory to analyze how continuous quantum measurements influence the frequency-dependent electrical conductivity of graphene, providing insights into its minimal conductivity behavior.

Contribution

It introduces a novel application of linear-response theory to continuous quantum measurements, specifically addressing conductivity in graphene.

Findings

Continuous measurement affects graphene's conductivity.

Framework explains nonuniversal minimal conductivity.

Results align with experimental observations.

Abstract

We use linear-response theory to evaluate the frequency-dependent conductivity of a system subject to a continuous quantum measurement of the current. Application of this formalism to graphene yields a consistent framework for discussing nonuniversal values of its minimal conductivity.