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On the equivalence of different approximations in linear electron transport theory
Author(s) -
Van Royen J.,
Beleznay F.,
Devreese J. T.
Publication year - 1981
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.2221070134
Subject(s) - equivalence (formal languages) , polaron , limit (mathematics) , scattering , electron , physics , path integral formulation , linear response theory , mathematics , distribution function , transport theory , coupling (piping) , quantum electrodynamics , mathematical analysis , statistical physics , quantum mechanics , condensed matter physics , pure mathematics , materials science , metallurgy , quantum
A critical comparison is made of different methods to obtain the mobility in linear electron transport theory. An approximation to the Kubo formula is studied, a calculation based on the displaced Maxwellian distribution function, and a method introduced in path integral calculations. It is shown that the three methods are equivalent: they lead to the same resistance in the weak scattering limit, for small electric fields. Special attention is given to the weak coupling Frohlich polaron mobility.