Local Geometry of the Fermi Surface and the Cyclotron Resonance in Metals in a Normal Magnetic Field

TL;DR

This paper provides a theoretical analysis of cyclotron resonance in metals with a magnetic field perpendicular to the surface, emphasizing the role of local Fermi surface geometry in resonance phenomena.

Contribution

It introduces a new theoretical framework linking Fermi surface local geometry to cyclotron resonance in normal magnetic fields, aligning with experimental observations.

Findings

Resonance occurs due to zero or diverging curvature segments of the Fermi surface.

Resonance features are detectable in surface impedance when such geometric conditions are met.

The theory agrees with experimental results for both convenient and organic metals.

Abstract

In this paper we present a detailed theoretical analysis of the cyclotron resonance in metals in the magnetic field directed along a normal to the surface of a sample. We show that this resonance occurs due to local geometry of the Fermi surface of a metal. When the Fermi surface (FS) includes segments where its curvature turns zero or diverges, this could give rise to resonance features in the frequency/magnetic field dependence of the surface impedance or its derivative with respect to the field. Otherwise the resonance is scarcely detectable unlike the well-known cyclotron resonance in a parallel magnetic field. The proposed theory agrees with experimantal results concerning both convenient and organic metals.