Estimation of the Josephson critical current of a single grain: Percolation model of the resistive transition

E. Mogilko; L. Burlachkov; Y. M. Strelniker; Y. Schlesinger; S. Havlin

doi:10.1016/s0921-4526(02)02408-0

Estimation of the Josephson critical current of a single grain: Percolation model of the resistive transition

E. Mogilko, L. Burlachkov, Y. M. Strelniker, Y. Schlesinger, S. Havlin

Department of Physics

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

5 Scopus citations

Abstract

The granular HTS is treated here as a S-N mixture. Experimental data are used to determine the percolation threshold, f₀ (the volume fraction of superconducting grains at zero resistance) and f_p (corresponding to the appearance of the first spanning superconducting cluster). The latter consists of percolating channels, each carrying the Josephson critical current I_ch. We demonstrate that, knowing f₀ and f_p as well as the morphology and orientation of the grains, one can derive realistic estimates of I_ch. This is realized by assuming a parallel resistive combination, one resistor being the spanning superconducting cluster, the other the nonspanning network. The former is treated as a percolation problem while the later is described within the effective-medium theory.

Original language	English
Pages (from-to)	1500-1501
Number of pages	2
Journal	Physica B: Condensed Matter
Volume	329-333
Issue number	II
DOIs	https://doi.org/10.1016/s0921-4526(02)02408-0
State	Published - May 2003

Bibliographical note

Funding Information:
This research was supported by the ISF grant 559/98 and by the BSF grant 98-370. E. M. and Y. M. S. acknowledge support of the KAMEA Fellowship program.

Funding

This research was supported by the ISF grant 559/98 and by the BSF grant 98-370. E. M. and Y. M. S. acknowledge support of the KAMEA Fellowship program.

Funders	Funder number
Bloom's Syndrome Foundation	98-370
Iowa Science Foundation	559/98

Keywords

Bi(2212)
Ceramics
Effective medium approximation
Josephson network
Percolation
Resistive transition

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10.1016/s0921-4526(02)02408-0

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title = "Estimation of the Josephson critical current of a single grain: Percolation model of the resistive transition",

abstract = "The granular HTS is treated here as a S-N mixture. Experimental data are used to determine the percolation threshold, f0 (the volume fraction of superconducting grains at zero resistance) and fp (corresponding to the appearance of the first spanning superconducting cluster). The latter consists of percolating channels, each carrying the Josephson critical current Ich. We demonstrate that, knowing f0 and fp as well as the morphology and orientation of the grains, one can derive realistic estimates of Ich. This is realized by assuming a parallel resistive combination, one resistor being the spanning superconducting cluster, the other the nonspanning network. The former is treated as a percolation problem while the later is described within the effective-medium theory.",

keywords = "Bi(2212), Ceramics, Effective medium approximation, Josephson network, Percolation, Resistive transition",

author = "E. Mogilko and L. Burlachkov and Strelniker, {Y. M.} and Y. Schlesinger and S. Havlin",

note = "Funding Information: This research was supported by the ISF grant 559/98 and by the BSF grant 98-370. E. M. and Y. M. S. acknowledge support of the KAMEA Fellowship program. ",

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doi = "10.1016/s0921-4526(02)02408-0",

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T1 - Estimation of the Josephson critical current of a single grain

T2 - Percolation model of the resistive transition

AU - Mogilko, E.

AU - Burlachkov, L.

AU - Strelniker, Y. M.

AU - Schlesinger, Y.

AU - Havlin, S.

N1 - Funding Information: This research was supported by the ISF grant 559/98 and by the BSF grant 98-370. E. M. and Y. M. S. acknowledge support of the KAMEA Fellowship program.

PY - 2003/5

Y1 - 2003/5

N2 - The granular HTS is treated here as a S-N mixture. Experimental data are used to determine the percolation threshold, f0 (the volume fraction of superconducting grains at zero resistance) and fp (corresponding to the appearance of the first spanning superconducting cluster). The latter consists of percolating channels, each carrying the Josephson critical current Ich. We demonstrate that, knowing f0 and fp as well as the morphology and orientation of the grains, one can derive realistic estimates of Ich. This is realized by assuming a parallel resistive combination, one resistor being the spanning superconducting cluster, the other the nonspanning network. The former is treated as a percolation problem while the later is described within the effective-medium theory.

AB - The granular HTS is treated here as a S-N mixture. Experimental data are used to determine the percolation threshold, f0 (the volume fraction of superconducting grains at zero resistance) and fp (corresponding to the appearance of the first spanning superconducting cluster). The latter consists of percolating channels, each carrying the Josephson critical current Ich. We demonstrate that, knowing f0 and fp as well as the morphology and orientation of the grains, one can derive realistic estimates of Ich. This is realized by assuming a parallel resistive combination, one resistor being the spanning superconducting cluster, the other the nonspanning network. The former is treated as a percolation problem while the later is described within the effective-medium theory.

KW - Bi(2212)

KW - Ceramics

KW - Effective medium approximation

KW - Josephson network

KW - Percolation

KW - Resistive transition

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VL - 329-333

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JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - II

ER -

Estimation of the Josephson critical current of a single grain: Percolation model of the resistive transition

Abstract

Bibliographical note

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Keywords

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