Effect of the Fermi Surface Anisotropy on the Electrical Conductivity of a Thin Inhomogeneous Metal Wire

Abstract

The high-frequency electrical conductivity of a thin inhomogeneous metal wire with a dielectric core is calculated using the kinetic approach. The Fermi surface of a metal is assumed to be an ellipsoid of revolution with the rotational axis coinciding with the wire axis. In the investigated case of isotropic electron scattering, the volume relaxation time does not depend on either the energy or the direction of electron scattering. No limitations are imposed on the ratio between the conduction’s electron free path and wire radius. The dependences of the absolute value and argument of the dimensionless conductivity on the dimensionless transverse effective mass, dimensionless wire radius, dimensionless electric field frequency, and ratio between the wire and dielectric core radii are analyzed.