Percolation transition in a two-dimensional system of Ni granular ferromagnets

Yakov M. Strelniker, Richard Berkovits, Aviad Frydman, Shlomo Havlin

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38 Scopus citations

Abstract

We model magnetotransport features of the quenched condensed granular Ni thin films by a random two-dimensional resistor network in order to test the condition where a single bond dominates the system. The hopping conductivity is assumed to depend on the distance between neighboring ferromagnetic grains and the mutual orientation of the magnetic moments of these grains. We find that the quantity characterizing the transition from weak disorder (not sensitive to a change of a single bond resistivity) to strong disorder (very sensitive to such changes) scales as [Formula presented], where [Formula presented] is the size of the system and [Formula presented] is a measure of disorder.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review E
Volume69
Issue number6
DOIs
StatePublished - Jun 2004

Bibliographical note

Funding Information:
This research was supported in part by grants from the U.S.–Israel Binational Science Foundation (Grant Nos. 2002–402 and 98–370), the Israel Science Foundation (Grant Nos. 326/02, 276/01, and 274/01), and the KAMEA Fellowship program of the Ministry of Absorption of the State of Israel. We gratefully acknowledge useful conversations with S. V. Buldyrev.

Funding

This research was supported in part by grants from the U.S.–Israel Binational Science Foundation (Grant Nos. 2002–402 and 98–370), the Israel Science Foundation (Grant Nos. 326/02, 276/01, and 274/01), and the KAMEA Fellowship program of the Ministry of Absorption of the State of Israel. We gratefully acknowledge useful conversations with S. V. Buldyrev.

FundersFunder number
Ministry of Absorption of the State of Israel
U.S.-Israel Binational Science Foundation98–370, 2002–402
Israel Science Foundation274/01, 326/02, 276/01

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