Theory of the Casimir effect for graphene at finite temperature

TL;DR

This paper develops a detailed theoretical framework for the Casimir effect involving graphene at finite temperature, revealing high-temperature asymptotics similar to metal systems and estimating relevant separation distances.

Contribution

It provides a comprehensive theory of the Casimir effect for graphene at finite temperature, including high-temperature asymptotics and comparison with metal systems.

Findings

High-temperature asymptotics of graphene-metal Casimir energy match Drude metal-metal behavior.

High-temperature effects become significant at around 100 nm separation at room temperature.

The theory predicts specific separation distances where thermal effects dominate.

Abstract

Theory of the Casimir effect for a flat graphene layer interacting with a parallel flat material is presented in detail. The high-temperature asymptotics of a free energy in a graphene-metal system coincides with a Drude high-temperature asymptotics of the metal-metal system. High-temperature behavior in the graphene-metal system is expected at separations of the order of 100 nm at temperature T=300K.