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

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.

arXiv comment10 pages, 5 figures, text revised. accepted for publication in Phys. Rev. B vol. 71, xxxx (2005)

References in corpus (3)

• Quantum Oscillations of Elastic Moduli and Softening of Phonon Modes in Metals
• On the Theory of Quantum Oscillations of the Elastic Moduli in Layered Conductors
• Acoustic Cyclotron Resonance and Giant High Frequency Magnetoacoustic Oscillations in Metals with Locally Flattened Fermi Surface

Cited by in corpus (3)

• Fermi-liquid theory of the surface impedance of a metal in a normal magnetic field
• Local Flattening of the Fermi Surface and Quantum Oscillations in the Magnetoacoustic Response of a Metal
• Fermi-liquid and Fermi surface geometry effects in propagation of low frequency electromagnetic waves through thin metal films