TY - JOUR
T1 - Effective resistance of systems with hopping conductivities in the case of many neighbors
AU - Strelniker, Yakov M.
PY - 2006
Y1 - 2006
N2 - In a framework of self-consistency effective medium approximation, we derive an expression for the effective resistivity of the Miller-Abrahams resistor networks with hopping conductivities [σ exp (-κr), where κ is a measure of disorder, and r is a random number, 0≤r≤1], and we compare it with the results of numerical simulations of such networks. When the number of neighbors is greater than four, the numerical results agree with the expression derived in this paper and not with the expression obtained in the percolative approach. In the case of four neighbors both results are in agreement.
AB - In a framework of self-consistency effective medium approximation, we derive an expression for the effective resistivity of the Miller-Abrahams resistor networks with hopping conductivities [σ exp (-κr), where κ is a measure of disorder, and r is a random number, 0≤r≤1], and we compare it with the results of numerical simulations of such networks. When the number of neighbors is greater than four, the numerical results agree with the expression derived in this paper and not with the expression obtained in the percolative approach. In the case of four neighbors both results are in agreement.
UR - http://www.scopus.com/inward/record.url?scp=33646245941&partnerID=8YFLogxK
U2 - 10.1103/physrevb.73.153407
DO - 10.1103/physrevb.73.153407
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AN - SCOPUS:33646245941
SN - 1098-0121
VL - 73
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 15
M1 - 153407
ER -