A theory is presented for spin‐magnetophonon resonance. The spin interaction of electrons with optical phonons is described by the introduction of vector and scalar potentials of the optical vibrational field. It is shown that the spin‐magnetophonon resonance should cause a minimum in the longitudinal magnetoresistance. The experimental data for n‐InSb and n‐InAs are discussed on the basis of this theory. Certain new magnetoresistance measurements are presented for the case of n‐InSb: 1) A maximum of the transverse magnetoresistance is observed at 82 kG corresponding to the spin‐magnetophonon resonance. The g‐factor for the conduction electrons, calculated from this maximum, is in good agreement with the theoretical value. 2) A minimum in the longitudinal magnetoresistance is observed at 24 kG, dur to the combined magnetophonon and spin‐magnetophonon resonance scattering.
The phonon-scattering caused by the polarisation of the electron-hole vacuum in a crystal is observed. The relaxation times of this process are estimated and compared with anharmonic scattering.
Magneto-dispersion effects in crossed fields are considered, expressions being obtained for the Faraday and Voigt effects. It is shown that the electric field displaces the peaks in the long wave region and gives rise to additional resonance peaks. XIeHbI BbIpLmeHm H~F I ~@ @~K T O B iDapanecI n QorTa. I I o~a 3 a~o , TO s n e~~p n s e c -Iioe noae cMeuaeT n n m B H J I K H H O B O J I H O B~ O~J I~C T L , a TaKwe npasozm K nom-PaCCMOTpeHbI MarHLITO-HLICnepCmoHHbIe 3@@eHTbl B CKpeIlIeHHbIX IIOJIRX. HOJIy-JeHLIIO HOBbIX pe30HaHCHLIX IILIKOB.I n recent years a great deal of interest has been revived in the magnetooptical effects, because they can give important information about band structure. The theory of the Faraday and Voigt effects was being developed in the papers [l, 2 , 31 among others. These authors started from the relations connecting the optical constants with the components of the conductivity tensor. The difficulties which arise in this treatment are well known. I n the present paper we shall consider the Faraday and Voigt effects, applying the scheme of the calculation of optical constants which was proposed in [4]: the complex index of refraction G was indicated from the general dispersion relation (E = Re E + i r energy of a photon interacting with a solid, h k quasimomentum of the photon, c velocity of light in vacuum, ii = n + i x, n index of refraction, x index of absorption). The spectrum of a photon was determined by the method of Green's functions. The system of equations for the retarded Green's function of the photon was uncoupled in the second order constant of photon-carrier interaction. The spectrum was determined by the poles of the Green's function in the E-representation. We take into account only the interaction of the photon with the carrier in the interband transition.
From (l), using (21) from [4] one getswhere p quantum number of the carriers, e, polarization vector of the photon, =--~ ; g dielectric constant. We shall suppose below tZ = = c = 1. 4 n n c 2 0, i.
The effect of steady state illumination on the distribution function of the photo-excited current carriers is considered. It is shown that the energy of the distribution function may be non-monotonic. This may essentially determine the spectral characteristics of the photocurrent. The dependence of the photocurrent on the optical frequency near the absorption edge may differ from the corresponding dependence of the absorption constant. It is shown that the oscillations of photoconductivity with optical frequency a t low temperatures may be due to this dependence of the distribution functions on the nature of the incident light.
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