Local Features of the Fermi Surface Curvature and the Anomalous Skin Effect in Metals

TL;DR

This paper theoretically investigates how local geometrical features of the Fermi surface, such as cylindrical or flattened segments, influence the surface impedance of metals under the anomalous skin effect, revealing potential for new insights into Fermi surface structures.

Contribution

It introduces a theoretical framework linking Fermi surface geometry to surface impedance variations in the anomalous skin effect regime.

Findings

Nearly cylindrical or flattened Fermi surface segments significantly alter impedance.

Unusual frequency dependencies can reveal fine Fermi surface features.

The analysis provides a method to infer Fermi surface geometry from impedance measurements.

Abstract

In this paper we present a theoretical analysis of the effect of local geometrical structure of the Fermi surface on the surface impedance of a metal at the anomalous skin effect. We show that when the Fermi surface includes nearly cylindrical and/or flattened segments it may significantly change both magnitude and frequency dependence of the surface impedance. Being observed in experiments these unusual frequency dependencies could bring additional information concerning fine geometrical features of the Fermi surfaces of metals.