Papers › A Finite-temperature Phase Transition for the Ising Spin-glass in d≥2
A Finite-temperature Phase Transition for the Ising Spin-glass in d≥2
Yan Ru Pei, Massimiliano Di Ventra
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It is believed that the ±J Ising spin-glass does not order at finite temperatures in dimension d=2. However, using a graphical representation and a contour argument, we prove rigorously the existence of a finite-temperature phase transition in d≥2 with T_c ≥0.4. In the graphical representation, the low-temperature phase allows for the coexistence of multiple infinite clusters each with a rigidly aligned spin-overlap state. These clusters correlate negatively with each other, and are entropically stable without breaking any global symmetry. They can emerge in most graph structures and disorder measures.
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