Hopping percolation transition in granular ferromagnets

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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
Issue number8
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.


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