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Critical behavior of Ising spins in a three-dimensional percolating nanosystem with noninteger fractal dimension

Commun. Math. Anal. Conf.
Conference 3 (2011), 42 - 49

Critical behavior of Ising spins in a three-dimensional percolating nanosystem with noninteger fractal dimension

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Abstract

In an artificial 3D percolation nanomedium, the clusters filled by the Ising magnets give rise to a topologically nontrivial magnetic structure, leading to new features of the ferromagnetic phase transition without an external magnetic field. In such an inhomogeneous system, the standard Ising model is strongly modified by the spatial percolation cluster distribution. We found numerically that at percolation occupation probability p<1 far from the percolation threshold pc3D, the magnetization shows ferromagnetic-paramagnetic phase transition with the transition temperature Tc depending considerably on the probability p. We provide numerical evidence that in vicinity pc3D the dependence Tc(p) is affected by the noninteger fractal dimension DH(p) of the incipient percolation spanning cluster.