Optical BCS conductivity at imaginary frequencies and dispersion energies of superconductors
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Publication:3558445
DOI10.1088/1751-8113/43/14/145304zbMATH Open1188.82151arXiv0907.3775OpenAlexW2114342013WikidataQ62578828 ScholiaQ62578828MaRDI QIDQ3558445
Author name not available (Why is that?)
Publication date: 5 May 2010
Published in: (Search for Journal in Brave)
Abstract: We present an efficient expression for the analytic continuation to arbitrary complex frequencies of the complex optical and AC conductivity of a homogeneous superconductor with arbitrary mean free path. Knowledge of this quantity is fundamental in the calculation of thermodynamic potentials and dispersion energies involving type-I superconducting bodies. When considered for imaginary frequencies, our formula evaluates faster than previous schemes involving Kramers--Kronig transforms. A number of applications illustrates its efficiency: a simplified low-frequency expansion of the conductivity, the electromagnetic bulk self-energy due to longitudinal plasma oscillations, and the Casimir free energy of a superconducting cavity.
Full work available at URL: https://arxiv.org/abs/0907.3775
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