Low-Energy Conductivity of Single- and Double-Layer Graphene from the Uncertainty Principle

TL;DR

This paper derives the minimum conductivity and its linear dependence on charge density in graphene using the energy-time uncertainty principle, providing a theoretical explanation for observed electronic properties.

Contribution

It introduces a novel approach applying the energy-time uncertainty principle to explain graphene's conductivity behavior.

Findings

Derived minimum conductivity from uncertainty principle

Explained linear conductivity dependence near Dirac point

Applicable to both single- and double-layer graphene

Abstract

The minimum conductivity value as well as the linear dependence of conductivity on the charge density near the Dirac point in single and doublelayer graphene is derived from the energy-time uncertainty principle applied to ballistic charge carriers.