Hopping percolation transition in granular ferromagnets

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

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8 Scopus citations

Abstract

We present computer simulations of the magnetotransport properties of two-dimensional and three-dimensional granular ferromagnets using a random resistor network in which the conductivity, σ, between pairs of neighboring grains depends upon the intergrain distance [σαexp (-κr), where κ is a measure of disorder and r is a random number, 0≤r≤1] and the relative magnetic orientations. We study the resistance (R) distribution function, P (R), and find that in both the weak disorder regime L κμ >1 (not sensitive to the removal of any single bond) and the strong disorder regime L κμ <1 (very sensitive to such a removal) the distribution depends only on L κμ and can be well approximated by a log-normal function with dispersion b κμ L, where b is a coefficient which depends on the type of the lattice and μ is the critical exponent of the percolation correlation length.

Original languageEnglish
Article number08P905
JournalJournal of Applied Physics
Volume99
Issue number8
DOIs
StatePublished - 2006

Bibliographical note

Funding Information:
This research was supported in part by grants from the US-Israel Binational Science Foundation, the Israel 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 US-Israel Binational Science Foundation, the Israel Science Foundation, and the KAMEA Fellowship program of the Ministry of Absorption of the State of Israel.

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

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