Temperature Correction to Casimir-Lifshitz Free Energy at Low Temperatures: Semiconductors
arXiv:0805.3065 · doi:10.1103/PhysRevE.78.021117
Abstract
The Casimir force and free energy at low temperatures has 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 new. 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.
11 pages, 4 figures; minor changes in the discussion, some references added. To appear in Phys. Rev. E
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