Theory of the AngleDependent Cyclotron Resonance Peaks for Conducting Crystals
Abstract
In the early fifties, Dresselhaus, Kip and Kittel (DKK) reported the firstever observation of the cyclotron resonances for Ge and Si. They found the remarkable orientation dependence of the resonance peaks and interpreted these data in terms of the wellknown DKK formula for the cyclotron effective mass: ({1over m^* })^2 = {cos^2(mu, { rm x}_3)over m_sp{t }{2}} + {sin^2(mu, {rm x}_3)over m_{t } m_{l}},eqno(1) where rm (m_{t }, m_{l}) are transverse and longitudinal effective masses and cos (mu, {rm x}_3) represents the direction cosine between the magnetic field (direction mu) and the vertical (x_3) to the cyclotronic plane fixed in the crystals. In the present work I shall demonstrate that the anisotropic cyclotron resonance peak positions omega_{rm c} observed in semiconductor and metals can be analyzed in a unified manner, based on the Shockley's formula (generalized form of (1)): omega_sp{c} {2} = rm(qB)^2 {m_1 cos^2 (mu, x_1) + m_2cos^2 (mu, x_2) + m_3 cos^2 (mu, x_3)over m_1m_2m_3}, where q is the carrier charge, B is the magnetic field strength, and m_1, m_2 and m_3 are intrinsic masses, which are defined in connection with the equations of motion for the Bloch electron (wave packet). The intrinsic masses obtained by fitting the data yield a complete determination of the relevant part of the Fermi surface.
 Publication:

Ph.D. Thesis
 Pub Date:
 1993
 Bibcode:
 1993PhDT.......139W
 Keywords:

 MICROWAVE ABSORPTION;
 Physics: Condensed Matter; Engineering: Materials Science; Engineering: Metallurgy