Suspended graphene films and their Casimir interaction with ideal conductor

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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5 pages, 1 fig., presented at the Ninth Conference on Quantum Field Theory under the influence of External Conditions, Oklahom

Scientific paper

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane ideal conductor. We employ both the Quantum Field Theory (QFT) approach, and the Lifshitz formula generalizations. The first approach turns out to be the leading order in the coupling constant of the second one. The Casimir interaction for this system appears to be rather weak but experimentally measurable. It exhibits a strong dependence on the mass of the quasi-particles in graphene.

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