Cyclotron resonance of hot electrons in pure germanium

Abstract

The frequency dependent non-ohmic behavior of conduction electrons in the static magnetic field, under the influence of applied microwave field, is investigated. As the electrons become hotter, the electron acoustical-phonon interaction becomes larger and the relaxation time shorter, so that the half-width of the cyclotron resonance line (ωτ) -1 grows up. The result of the calculation shows that the relation (ωτ) -1 ∝( P / m x ) 1/ n holds, where P denotes the microwave power. In the case where practically only spontaneous emission of phonons takes place, n takes the one extreme value 2.5, while it does the other extreme value 4 in the case where both emission and absorption of phonons occur in sufficient magnitudes. Evidently, the average electron energy e e is a function of ω c -ω for a given power. Since the relaxation time depends on e e , it is a function of ω c -ω. Hence the absorption line deviates from the ordinary Lorentzian curve in which the relaxation time is taken constant throughout the rang...