Percolation Problem of Frozen-Bonds in Quenched J Ising Spin System

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Abstract
A formulation of percolation problem is proposed for the frustrated Ising spin lattice with an arbitrary arrangements of ±J exchange integrals. The frozen-bond which maintains the character of ground state plays an important role in this percolation problem. An extended quenched system which is defined by making use of a statistical balance with the annealed system at a finite temperature, TA, is introduced as a form of the percolation problem. In the case of ordinary quenched system (TA→∞), quasi-critical phenomena of spin glass are expected to appear at the percolation threshold of the concentration for the frozen bonds.

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