Absence of interaction corrections in graphene conductivity

TL;DR

This paper rigorously proves that weak short-range interactions do not alter the zero-temperature, zero-frequency conductivity of graphene, confirming its robustness against such interactions.

Contribution

It provides a rigorous proof that interaction corrections vanish in graphene's conductivity under specific conditions, a result previously conjectured.

Findings

Interaction corrections are exactly zero for weak short-range interactions.

Graphene's conductivity remains unaffected by these interactions at zero temperature.

The result confirms the robustness of graphene's electronic properties.

Abstract

The exact vanishing of the interaction corrections to the zero temperature and zero frequency conductivity of graphene in the presence of weak short range interactions is rigorously established.