On the spatial dependence of Casimir friction in graphene

Abstract

We study the spatial properties of the Casimir friction phenomenon for an atom moving at a non-relativistic constant velocity parallel to a planar graphene sheet. The coupling of the atom to the vacuum electromagnetic (EM) field is implemented by an electric dipole term, plus a R\"ontgen term. We study the fermion pair production, evaluating the angular dependence of the fermion emission probability. The phenomenon exhibits a threshold: it only exists when the speed of the sliding motion is larger than the Fermi velocity of the medium.

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