Classical Boltzmann Theory of Cyclotron Resonance for Warped Surfaces
Abstract
A classical Boltzmann model of cyclotron resonance with an energyindependent collision time is developed. An approximate solution of the Boltzmann equation is obtained by expanding the perturbed distribution function Φ(p, Θ, φ), in a Fourier series in φ, where the spherical coordinates are defined with the polar axis along the magnetic field direction. The solution yields a fundamental cyclotron resonance absorption line, which shows line shape anisotropy, as well as a shift in resonance peak with magnetic field direction. The theory also indicates resonance absorption at harmonics of the fundamental cyclotron resonance frequency, due to the warping of the constantenergy surfaces. The results are applied to a calculation of line shapes and harmonic intensities for heavy holes in silicon and germanium.
 Publication:

Physical Review
 Pub Date:
 January 1957
 DOI:
 10.1103/PhysRev.105.495
 Bibcode:
 1957PhRv..105..495Z