Low-frequency conductivity in disordered systems due to variable-range hopping

Fishchuk, I. I.; Rudko, V. N.

doi:10.1088/0022-3719/13/20/004

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1995

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Cited by 7 publications

(1 citation statement)

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“…On lowering the temperature, electrons localized near the Fermi level begin to play the leading role in ac conductivity. According to [393, 3941, in this situation in the multiple hopping region the activated temperature dependence (characteristic of dc conductivity) changes with increasing frequency to a weak (power-like) temperature dependence of (T. In [400,401] the cluster approach for ac conductivity was generalized for the case of R-&-percolation, where the dc conductivity obeys Mott's law (cf. (4.22) in I).…”

Section: (1213)mentioning

confidence: 99%

Hopping Conductivity in Ordered and Disordered Systems (III)

Böttger¹,

Bryksin²

1982

Physica Status Solidi (b)

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Section: (1213)mentioning

confidence: 99%

Hopping Conductivity in Ordered and Disordered Systems (III)

Böttger¹,

Bryksin²

1982

Physica Status Solidi (b)

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Low Frequency Conductivity in Disordered Systems Due to Variable Range Hopping Experiment Versus Theory

Rudko

1982

Physica Status Solidi (b)

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In the last few yaars the theory of the hopping conductivity in disordered systems with localized electronic states is intensively developed (see, i. e. /1, 2/). The theoretical explanation of experimental frequency and temperature dependences of the hopping conductivity is of special interest /3 to 11/. An important contribution to the solution of this problem was made in /3, 4/ where the cluster approximation was formulated. Using the cluster approximation the frequency dependence of the hopping conductivity in R-percolation systems was described for low frequencies which lie below the region of the validity of two-site models /5 to 8/. The B6ttger-Bryksin-Yashin method /3/ was expanded in /12, 13/ to the case of the low frequency conductivity in R-& -percolation systems. The following formula for the frequency and temperature dependences of the low frequency conductivity in the variable range hopping region was obtained /l2k where w is the frequency, the exponent S depends on temperature T a s follows:

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Comment on ?fractal and superdiffusive transport and hydrodynamic dispersion in heterogeneous porous media?, by Muhammad Sahimi

Hunt

1995

Transp Porous Med

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Low-frequency conductivity in disordered systems due to variable-range hopping

Cited by 7 publications

References 8 publications

Hopping Conductivity in Ordered and Disordered Systems (III)

Hopping Conductivity in Ordered and Disordered Systems (III)

Low Frequency Conductivity in Disordered Systems Due to Variable Range Hopping Experiment Versus Theory

Comment on ?fractal and superdiffusive transport and hydrodynamic dispersion in heterogeneous porous media?, by Muhammad Sahimi

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