Casimir effects in graphene systems: unexpected power laws

TL;DR

This paper investigates the Casimir effect in graphene systems, revealing unexpected power-law behaviors and providing detailed calculations for various doping levels and configurations.

Contribution

It introduces new theoretical predictions for the power-law dependence of Casimir interactions in graphene, including effects of doping and substrate presence.

Findings

Power-law behavior of Casimir interaction in graphene

Dependence of interaction on doping levels

Distance dependence of the Casimir force

Abstract

We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given for undoped graphene and for a set of doping levels covering the range of experimentally accessible values. We describe different approaches that can be used to derive the interaction. We point out both the predicted power law for the interaction and the actual distance dependence.