ELECTRICAL CONDUCTIVITY OF AN INHOMOGENEOUS THIN METAL WIRE IN THE CASE OF AN ANISOTROPIC FERMI SURFACE AND ISOTROPIC ELECTRON SCATTERING

Abstract

We have derived an analytical expression for high-frequency electrical conductivity of a thin metal wire with a dielectric core in the case of the diffuse interaction of metal electrons with the boundaries of the conductive layer. We have analyzed the dependence of the modulus and the argument of electrical conductivity on the ratio of the radii of the wire and the dielectric core, on the effective mass along a straight line perpendicular to the axis of the wire, on the radius of the wire, and on the electric field frequency. The analysis has shown that the effective mass of charge carriers and the boundaries of the metal layer influence its electrical conductivity. The kinetic problem has been generalized to the case of an ellipsoidal Fermi surface of a metal layer, which is a natural generalization of a simpler and more frequently used model of a spherical Fermi surface in the description of transport phenomena. The paper is addressed to designers of integrated circuit elements with specified parameters.

Keywords

• distribution function
• Boltzmann equation
• electrical conductivity
• thin inhomogeneous wire
• ellipsoidal Fermi surface
• diffuse boundary conditions