Abstract
The surface current density of charge carriers in two-dimensional doubly periodic n-type semiconductor superlattices in an external magnetic field in the presence of temperature gradient has been calculated in the single-electron approximation. The magnetic field was assumed to be permanent, homogeneous, and oriented perpendicular to the electron-gas plane. A joint solution of the Schrödinger equation and kinetic Boltzmann equation showed that the dependences of the surface density of transverse current on temperature and temperature-gradient magnitude are significantly nonlinear and contain portions with negative transverse differential conductivity. The dependence of the relaxation time on the electron quasi-momentum is phenomenologically taken into account in the model via the dispersion relation for carriers in magnetic subbands.
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This study was supported by the Ministry of Science and Higher Education of the Russian Federation (State assignment no. 0729-2020-0058).
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Translated by Yu. Sin’kov
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Perov, A.A., Pikunov, P.V. Transverse Thermomagnetic Effect in the Two-Dimensional Electron Gas of Surface Semiconductor Superlattice. J. Exp. Theor. Phys. 133, 229–235 (2021). https://doi.org/10.1134/S1063776121080094
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DOI: https://doi.org/10.1134/S1063776121080094