Enhanced Casimir effect for doped graphene

TL;DR

This paper investigates how doping graphene significantly enhances the Casimir force, providing a simple formula for the polarization tensor at finite temperature, which is crucial for experimental and theoretical studies.

Contribution

It introduces a straightforward expression for the polarization tensor of doped graphene at finite temperature, highlighting the substantial increase in Casimir force due to doping.

Findings

Doping graphene can increase the Casimir force by nearly 60%.

The derived polarization tensor simplifies calculations at finite temperature.

Results are relevant for designing and interpreting Casimir force experiments.

Abstract

We analyze the Casimir interaction of doped graphene. To this end we derive a simple expression for the finite temperature polarization tensor with a chemical potential. It is found that doping leads to a strong enhancement of the Casimir force reaching almost $60\%$ in quite realistic situations. This result should be important for planning and interpreting the Casimir measurements, especially taking into account that the Casimir interaction of undoped graphene is rather weak.