Theory of Resonant Coupling between Landau Levels and LO Phonons in Polar Semiconductors. : I. Cyclotron Resonance and Transverse Magnetoresistance of InSb

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概要

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• The coupling between the N=1 Landau level and the N=0 Landau level +one LO phonon continuum is investigated by the Green's function method under the condition that the cyclotron frequency ω_c is nearly equal to the LO phonon frequency ω_0. The spectral weigh function is shown to have a peak above the threshold of the continuum for any value of ω_c, in contrast to the behavior of the solution of the WB perturbation and the pole of Green's function. Cyclotron resonance line profile is calculated as a function of ω_c for ω<ω_0 and at liquid nitrogen temperatures. Calculated line width is finite at ω=ω_0 and decreases with temperature. Transverse magnetoresistance by absorption of thermal LO phonons is calculated as a function of ω_c taking fully into account collision broadening of the N=1 Landau level due to LO phonon emission. The result is free of divergence at ω_c=ω_0. A shift of the position of the maximum to the high ω_c side is predicted. Though qualitative agreement with experiment is good in the both phenomena, absolute magnitude of the line width and the magnetoresistance is smaller than the experimental one by a factor about 1.5, which suggests a larger value of the coupling constant than the one estimated from Frohlich's formula.

• 社団法人日本物理学会の論文
• 1969-09-05

著者

• Nakayama Masatoshi

  Institute Of Physics College Of General Education University Of Tokyo:general Education Department K

関連論文

• Theory of Resonant Coupling between Landau Levels and LO Phonons in Polar Semiconductors. : I. Cyclotron Resonance and Transverse Magnetoresistance of InSb
• Coulomb Effect on the Polaron Induced Anomalies in the Interband Magnetoabsorption of InSb

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