In the framework of self-consistency effective medium approximation, we derive an expression for the effective resistivity of the Miller-Abrahams resistor networks with hopping conductivities, and we compare it with results of numerical simulations of such networks. In our approach we modify the effective medium approximation to include the presence of the Josephson junctions in granular (low- and high- Tc) superconductors.
Bibliographical noteFunding Information:
This research was supported in part by grants from the Israel Science Foundation, US–Israel Binational Science Foundation, and the KAMEA Fellowship program of the Ministry of Absorption of the State of Israel.
- Composite materials
- Josephson junction arrays
- Mesoscopic and nanoscale systems
- Transport properties of superconductors