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Theory of AC and DC Conductivity in Disordered Hopping Systems
Author(s) -
Movaghar B.,
Pohlmann B.,
Sauer G. W.
Publication year - 1980
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.2220970218
Subject(s) - formalism (music) , exponent , condensed matter physics , conductivity , electrical resistivity and conductivity , amorphous solid , variable range hopping , materials science , physics , statistical physics , quantum mechanics , chemistry , crystallography , art , musical , linguistics , philosophy , visual arts
A self‐consistent theory is given of ac and dc transport in disordered hopping systems. The method is an extension of an effective medium approximation and a Cayley tree formalism. The calculated dc and ac conductivity are compared with the results of computer simulations of R‐hopping networks and data of amorphous germanium. The agreement is very satisfactory. The exponent s of the ω s component decreases with temperature in the way observed experimentally.