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On the Theory of Transport Phenomena in Semiconductors Possessing Non‐Spherical and Non‐Quadratic Energy Bands
Author(s) -
Źukotyński S.,
Kolodziejczak J.
Publication year - 1963
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19630030604
Subject(s) - quadratic equation , energy flux , ellipsoid , semiconductor , physics , energy (signal processing) , electric field , current (fluid) , electric current , flux (metallurgy) , condensed matter physics , classical mechanics , mathematical analysis , mathematics , materials science , quantum mechanics , geometry , thermodynamics , astronomy , metallurgy
Abstract The transport equation is solved for the case in which external magnetic and electric fields as well as temperature and concentration gradients are present. All calculations are carried out for energy surfaces of arbitrary shape. The electric current and heat flux are expressed in terms of three fundamental tensors. The case of ellipsoidal energy surfaces with a non‐quadratic dependence of the energy on the absolute value of the wave vector is analysed in detail.