Casimir effects in systems containing 2D layers, like graphene and 2D electron gases

TL;DR

This paper develops methods to calculate Casimir interactions in systems with 2D layers such as graphene and electron gases, applicable to free-standing and substrate-supported configurations, with potential for extension to multilayer systems.

Contribution

It introduces versatile methods for deriving Casimir forces in planar 2D systems, expanding analytical tools for these materials.

Findings

Methods applicable to free-standing and supported layers

Results extend to multilayer systems

Framework adaptable to various 2D materials

Abstract

We present a variety of methods to derive the Casimir interaction in planar systems containing two-dimensional layers. Examples where this can be of use is graphene, graphene-like layers and two-dimensional electron gases. We present results for two free standing layers and for one layer above a substrate. The results can easily be extended to systems with a larger number of layers.