Casimir interactions in graphene systems
Bo E. Sernelius
TL;DR
This paper derives an exact analytical expression for the Casimir interaction between graphene sheets and substrates, considering their dielectric properties within the random phase approximation, advancing understanding of quantum forces in 2D materials.
Contribution
It provides a novel exact analytical formula for the dielectric function of graphene relevant to Casimir interactions, applicable across various frequencies, wave vectors, and doping levels.
Findings
Exact analytical expression for graphene's dielectric function on imaginary axis.
Quantitative analysis of Casimir forces between graphene and substrates.
Enhanced understanding of quantum electromagnetic interactions in 2D materials.
Abstract
The non-retarded Casimir interaction (van der Waals interaction) between two free standing graphene sheets as well as between a graphene sheet and a substrate is determined. An exact analytical expression is given for the dielectric function of graphene along the imaginary frequency axis within the random phase approximation for arbitrary frequency, wave vector, and doping.
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