Transverse thermo-magnetic effect in double-periodic semiconductor superlattice at the lack of inversion symmetry

The surface density of charge current in two-dimensional double-periodic n-type semiconductor superlattices is calculated in the one-electron approximation in an external magnetic field in the presence of a temperature gradient. The magnetic field was assumed to be constant, uniform, applied perpendicular to the plane of the electron gas. The joint solution of the Schrödinger equation and the kinetic Boltzmann equation is shown that the dependence of the transverse surface density of the current about temperature and module temperature gradient are significantly non-linear in nature, there are areas with negative differential conductivity. The dependence of the relaxation time on the quasi-momentum of the electron is taken into account in the model phenomenologically through the dispersion law of carrier in magnetic subbands. At the lack of inversion symmetry the dispersion laws of magnetic subbands are not even functions of the quasimomentum defined in magnetic Brillouin zone. As a result, the transverse surface thermo-magnetic current increases in many times in comparison with symmetric case.