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Casimir-Lifshitz force between two graphene shits: classical electromagnetic Green's functions approach

Michael V. Davidovich, Saratov State University

Abstract

The paper considers an approach based on Green's functions of electrodynamics to the analysis of plasmons and interaction forces in a structure with two two-dimensional conducting infinite sheets described by two-dimensional conductivity. The corresponding dispersion equations for bound plasmon-polaritons are found, as well as an expression for the interaction force per unit surface between sheets – the Casimir-Lifshitz force. It is shown that this force occurs due to the excitation of random slow long-wave plasmons. Fast radiative plasmon-polaritons are radiating, and are not contributing to the specified force. Physically, this can be explained by the good transparency of graphene.

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Michael V. Davidovich
Saratov State University
Russia

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