Distribution function of electrons and phonons in semiconductors and semimetals in high electric and quantizing magnetic fields

摘要

The distribution function of electrons and phonons interacting with electronsin semiconductors and semimetals in high electric and quantizing magneticfields as a result of the solution of the coupled system of equations for thedensity matrixes of electrons and phonons is obtained. The effects of heatingof electrons and phonons and their arbitrary mutual drag are taken intoaccount. The dispersion relation of energy of electrons is assumed to bearbitrarily spherically symmetric one. The spectrum of phonons is assumed to beisotropic. The distribution function of electrons, phonons, the amplificationcoefficient of phonons and the dependence of chemical potential on "E", "H","n" and "T_e" are obtained. The distribution function of phonons is obtained for arbitrary driftvelocities of phonons.