Temperature correction to Casimir-Lifshitz free energy at low temperatures: semiconductors.
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.
Ellingsen
Simen A
SA
Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway. simen.a.ellingsen@ntnu.no
Brevik
Iver
I
Høye
Johan S
JS
Milton
Kimball A
KA