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Temperature correction to Casimir-Lifshitz free energy at low temperatures: semiconductors
Simen A Ellingsen1, Iver Brevik, Johan S Høye
1Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway. simen.a.ellingsen@ntnu.no
Abstract:
The Casimir force and free energy at low temperatures have been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material possessing a constant conductivity at low temperatures, described through a Drude-type dielectric function. For the transverse magnetic (TM) mode such a calculation is made. A further calculation for the case of the TE mode is thereafter presented which extends and generalizes previous work for metals. A numerical study is undertaken to verify the correctness of the analytic results.
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