The normal Casimir-Lifshitz force for laterally moving graphene

Mauro Antezza; N Emelianova; N Khusnutdinov

doi:10.1088/1361-6528/ad2f1c

The normal Casimir-Lifshitz force for laterally moving graphene

Nanotechnology. 2024 Mar 18;35(23). doi: 10.1088/1361-6528/ad2f1c.

Authors

Mauro Antezza^{1

2}, N Emelianova³, N Khusnutdinov³

Affiliations

¹ Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-University of Montpellier, F-34095 Montpellier, France.
² Institut Universitaire de France, 1 rue Descartes, Paris Cedex 05 F-75231, France.
³ CMCC, Universidade Federal do ABC, Avenida dos Estados 5001, CEP 09210-580, SP, Brazil.

PMID: 38422611
DOI: 10.1088/1361-6528/ad2f1c

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≪v_F, 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=v_F) for the first system, and it is zero up to the Fermi velocityv=v_Ffor system ideal metal/graphene.

Keywords: Casimir effect; graphene; quantum friction.