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Theoretical Investigation of the Hopping Conductivity in Disordered Systems in a Large Frequency Range
Author(s) -
Böttger H.,
Bryksin V. V.
Publication year - 1976
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.2220730121
Subject(s) - condensed matter physics , conductivity , dimensionless quantity , variable range hopping , formalism (music) , electrical resistivity and conductivity , ohmic contact , physics , statistical physics , quantum mechanics , electrode , art , musical , visual arts
The frequency dependence of the hopping conductivity in disordered systems is investigated taking electron‐phonon interaction of arbitrary strength into account. The underlying theoretical concept is based on the density matrix formalism. The hopping conductivity is shown to be essentially governed by two parameters with a dimension of a time τ, the average time between two consecutive hops from site to site and δ t , the average time of restoring the equilibrium on a site after a hop. The dimensionless parameter ωτ, governs the relative contribution of the diffusive and the Ohmic currents to the total current. The quantity ω δ t is responsible for presence or absence of memory in hopping processes.