Percolation Problem Describing J Ising Spin Glass System

Abstract
The critical concentration of the extended percolation problem on the simple cubic lattice is determined with reference to Bhatt, Young, Ogielski and Morgenstern's simulation data of transition temperature. A relation of dimensional invariants for the critical concentration suggests that in the spin glass phase an infinite number of infinitely-large clusters coexist and each of those clusters is confined in a domain with a connectivity dimension ∼1.4.

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