Hopping percolation transition in granular ferromagnets

被引:0
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作者
Strelniker, Yakov M. [1 ]
Havlin, Shlomo [1 ]
Berkovits, Richard [1 ]
Frydman, Aviad [1 ]
机构
[1] Department of Physics, Jack and Pearl Resnick Institute of Advanced Technology, Bar-Ilan University, 52900 Ramat-Gan, Israel
来源
Journal of Applied Physics | 2006年 / 99卷 / 08期
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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&ler&le1] 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. © 2006 American Institute of Physics;
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