Premium
The Einstein relation in quaternary alloys under different physical conditions
Author(s) -
Ghatak K. P.,
Mondal M.
Publication year - 1991
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.2221640217
Subject(s) - einstein relation , degenerate energy levels , dispersion relation , einstein , condensed matter physics , quantization (signal processing) , limiting , electronic band structure , semiconductor , thermal diffusivity , physics , lattice (music) , electron , spectral line , materials science , quantum mechanics , mathematics , mechanical engineering , metric (unit) , operations management , acoustics , engineering , economics , algorithm
The Einstein relation for the diffusivity—mobility ratio of the carriers in quaternary alloys is studied, taking the In 1−x Ga x As y P 1−y lattice matched to InP, by using the three‐band Kane model in bulk specimens, magnetic quantization, cross‐field configurations, and the low‐dimensional quantum confined structures of the same material under various quantization of band states by formulating the respective electron energy spectra. The same ratio is plotted with different physical variables in all the cases and the theoretical results are in agreement with the suggested experimental method of determining the Einstein relation in degenerate materials having arbitrary dispersion laws. In addition, the corresponding well‐known results of parabolic semiconductors are obtained from our generalized expressions as special cases under certain limiting conditions.