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Effect of Spatial Correlations on Hopping Transport
Author(s) -
Pollak M.
Publication year - 1974
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.2220660210
Subject(s) - equipotential , spatial correlation , equipotential surface , condensed matter physics , variable range hopping , percolation (cognitive psychology) , physics , statistical physics , conductivity , mathematics , quantum mechanics , statistics , neuroscience , biology
Spatial fluctuations of the potential are inherent in hopping transport. The effect is considered of the stochastic dependence between the potentials of hopping sites, specifically the case when the correlation length of the potential is considerably longer than the hopping distance. The percolation approach is used. The behavior is found to depend on certain characteristics of the equipotential surface at the Fermi energy. If this surface is non‐connected, an activated conductivity is expected. If the surface consists of parts connected through narrow channels, a T −l/2 dependence is predicted. For stronger connectivity, a T −1 / 3 dependence is deduced. The T −1/4 dependence, characteristic of hopping in the absence of spatial correlation, is not expected to occur.