Effective medium approximation for hopping conductivity and Josephson junctions

Yakov M. Strelniker; Shlomo Havlin; Aviad Frydman

doi:10.1016/j.physb.2006.12.066

Effective medium approximation for hopping conductivity and Josephson junctions

Yakov M. Strelniker, Shlomo Havlin, Aviad Frydman

Minerva Center

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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- T_c) superconductors.

Original language	English
Pages (from-to)	368-371
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	394
Issue number	2
DOIs	https://doi.org/10.1016/j.physb.2006.12.066
State	Published - 15 May 2007
Externally published	Yes

Bibliographical note

Funding 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.

Funding

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.

Funders
Ministry of Absorption of the State of Israel
United States-Israel Binational Science Foundation
Israel Science Foundation

Keywords

Composite materials
Josephson junction arrays
Mesoscopic and nanoscale systems
Percolation
Transport properties of superconductors

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10.1016/j.physb.2006.12.066

Cite this

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abstract = "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.",

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AU - Havlin, Shlomo

AU - Frydman, Aviad

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N2 - 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.

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KW - Composite materials

KW - Josephson junction arrays

KW - Mesoscopic and nanoscale systems

KW - Percolation

KW - Transport properties of superconductors

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ER -

Effective medium approximation for hopping conductivity and Josephson junctions

Abstract

Bibliographical note

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Keywords

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