Fermi-liquid theory of the surface impedance of a metal in a normal magnetic field

TL;DR

This paper provides a detailed theoretical analysis of how the surface impedance of a metal depends on frequency and magnetic field, considering Fermi-liquid interactions, and identifies conditions for observing cyclotron resonance.

Contribution

It introduces a theoretical framework for analyzing the surface impedance of metals in a magnetic field, highlighting the role of Fermi surface geometry in cyclotron resonance detection.

Findings

Cyclotron resonance appears only in metals with zero Gaussian curvature segments on their Fermi surfaces.

Fermi-liquid interactions significantly influence the surface impedance.

Results can help identify local anomalies in Fermi surface curvature.

Abstract

In this paper we present detailed theoretical analysis of the frequency and/or magnetic field dependence of the surface impedance of a metal at the anomalous skin effect. We calculate the surface impedance in the presence of a magnetic field directed along the normal to the metal surface. The effects of the Fermi-liquid interactions on the surface impedance are studied. It is shown that the cyclotron resonance in a normal magnetic field may be revealed {\it only and exclusively} in such metals whose Fermi surfaces include segments where its Gaussian curvature turns zero. The results could be applied to extract extra informations concerning local anomalies in the Fermi surface curvature in conventional and quasi-two-dimensional metals.