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Polaritonic Contribution to the Casimir Energy between two Graphene Layers

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arxiv 1910.10971 v1 pith:4QOOMY6Z submitted 2019-10-24 quant-ph cond-mat.mes-hall

Polaritonic Contribution to the Casimir Energy between two Graphene Layers

classification quant-ph cond-mat.mes-hall
keywords casimircontributionenergylayersgraphenepolaritonictotalaccurately
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the role of surface polaritons in the zero-temperature Casimir effect between two graphene layers that are described by the Dirac model. A parametric approach allows us to accurately calculate the dispersion relations of the relevant modes and to evaluate their contribution to the total Casimir energy. The resulting force features a change of sign from attractive to repulsive as the distance between the layers increases. Contrary to similar calculations that have been performed for metallic plates, our asymptotic analysis demonstrates that at small separations the polaritonic contribution becomes negligible relative to the total energy.

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