Surface-Impedance Theory for Pure Type-I Superconductors in Large Static Magnetic Fields

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Abstract
A microscopic nonphenomenological theory for the interaction of electromagnetic radiation with pure Pippard superconductors is presented to explain the changes in surface impedance due to large static magnetic fields. The static magnetic field penetrating the metal's surface creates a momentum-dependent potential. Quasiparticles near the Fermi surface find that such a potential strongly modifies their wave function and energy-excitation spectrum. An algorithm is developed that allows surface impedances to be determined despite the difficulties caused by spatial inhomogeneity, anisotropy, and nonlocal electrodynamics.