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The normal Casimir-Lifshitz force for laterally moving graphene
Mauro Antezza1,2, N Emelianova3, N Khusnutdinov3
1Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-University of Montpellier, F-34095 Montpellier, France.
Abstract:
We consider the system of two parallel sheets of graphene which are moving with relative parallel velocityv⃗and calculate the Casimir energy by using the scattering approach. We analyze in detail the normal (perpendicular to the planes) Casimir force for two systems-graphene/graphene and ideal metal/graphene. In the non-relativistic casev≪vF, the relative correction to the Casimir energy(Ev-E0)/E0is proportional to the (v/c)2(the maximum value is 0.0033 for the gapeless case andv=vF) for the first system, and it is zero up to the Fermi velocityv=vFfor system ideal metal/graphene.
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