Local geometry of the Fermi surface and the skin effect in layered conductors

This paper studies theoretically how local anomalies in the Gaussian curvature of the Fermi surface of a layered conductor affect its surface impedance at high frequency under conditions where the surface of the conductor is parallel to conducting planes. It is shown that the fact that the curvature vanishes or has singularities in the effective sections of the Fermi surface can substantially change the value and frequency dependence of the impedance. A theory of cyclotron resonance in a magnetic field normal to the conductor's surface is constructed and the features of this phenomenon reflecting the presence of local anomalies in the curvature of the Fermi surface are studied. (C) 1998 American Institute of Physics.