Theory of Cyclotron Resonance of Piezoelectric Polarons

概要

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The cyclotron resonance of piezoelectric materials with special reference to cadmium sulfide is discussed on the basis of the recently developed general quantum-mechanical expression for conductivity. The previous analysis by Mahan and Hopfield is shown to be valid only for very weak magnetic fields, viz., under the semiclassical conditions. In the actual experimental conditions, however, where the Landau level separation is larger than k_BT (quantum conditions), the cyclotron mass m_c differs from the result of semiclassical analysis: (a) in most regions of temperature, m_c is an increasing function of temperature, and (b) m_c depends on the magnetic field and thus on the incident microwave frequency. The line width is finite and differs appreciably from the inverse of the lifetime of the electronic state, which is shown by simple treatments to be infinite. Numerical calculation of the line shape shows that m_c is, though smaller, very close to m_c in contrast to Mahan and Hopfield. It is proved on the basis of the general expression that m_c reduces to the tube mass and the line width tends to the inverse of the static transport relaxation time in the weak magnetic field limit.
社団法人日本物理学会の論文
1967-11-05