title: Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors.
abstract: We examine the conditions of validity for the Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic plane mirrors. As in the previously studied case of nonmagnetic materials [Guérout et al., Phys. Rev. E 90, 042125 (2014)], we recover the usual expression for the lossy model of optical response, but not for the lossless plasma model. We also show that the modes associated with the Foucault currents play a crucial role in the limit of vanishing losses, in contrast to expectations.
authors.affiliation: Laboratoire Kastler Brossel, CNRS, ENS, UPMC, Case 74, F-75252 Paris, France.
authors.forename: R
authors.initials: R
authors.lastname: Guérout
authors.affiliation: Laboratoire Kastler Brossel, CNRS, ENS, UPMC, Case 74, F-75252 Paris, France.
authors.forename: A
authors.initials: A
authors.lastname: Lambrecht
authors.affiliation: H. L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019, USA.
authors.forename: K A
authors.initials: KA
authors.lastname: Milton
authors.affiliation: Laboratoire Kastler Brossel, CNRS, ENS, UPMC, Case 74, F-75252 Paris, France.
authors.forename: S
authors.initials: S
authors.lastname: Reynaud