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Casimir effects in systems containing 2D layers such as graphene and 2D electron gases

Bo E Sernelius

J. Phys.: Condens. Matter 27 (2015) 214017 (14pp). Published 12 May 2015 in a special issue on Casimir Forces


We present a variety of methods to derive the Casimir interaction in planar systems containing 2D layers. We use many-body approaches; approaches involving coupled sources induced in the films and at the interfaces; methods based on solving Maxwell’s equations and using the proper boundary conditions at the interfaces and films. Examples where this can be of use is graphene, graphene-like layers and 2D electron gases. We present results for two free-standing layers and for one layer above a substrate. The results can easily be extended to systems with a larger number of layers.

The text can also be useful in other areas of physics. It has useful sections containing electromagnetic background material and background material for 2D systems.

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Last updated: 05/25/15