The Theory of Low‐Field Oscillations of the Surface Impedance in Metals

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Abstract
Magnetic surface states on cylindrical parts of the Fermi surface and their relation to volume Landau states are discussed. The scattering of the surface states by a rough surface is calculated quantum mechanically, giving the classical scattering rate in a certain limiting case. Transitions between surface states give rise to small oscillations of the surface impedance, which are calculated for arbitrary orientations of the cylinder and the magnetic field, starting with the electric field distribution in the case of anomalous skin effect. The results are compared with experimental data in indium. More elaborate numerical calculations of the transition matrix elements and the surface scattering rate are required to determine the parameters of surface scattering unambiguously.
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