Long-Range Order of the Site-Random Spin Glass Model

TL;DR

This paper investigates the site-random Ising spin glass model, revealing a symmetry in correlations and free energy, providing evidence for a spin glass phase in 2D, and proposing a percolated-cluster explanation for phase transitions.

Contribution

It introduces a rigorous symmetry in the model and provides numerical evidence for the spin glass phase, offering a new perspective on phase transitions via percolation.

Findings

Evidence for the spin glass phase in 2D system.

Identification of a symmetry in correlations and free energy.

Proposed percolated-cluster mechanism for phase transitions.

Abstract

The site-random Ising spin glass model is investigated. We find a rigorous symmetry for the SG correlation and the free energy, which provides some restrictions in the phase diagram. Using the defect energies calculated by the numerical transfer matrix method, we obtain evidence for the existence of the SG phase in the two-dimensional Ising system. We suggest that the transitions from the FM and the AF phases in the ground state in this model can be explained by the percolated-cluster picture, which is quite different from the frustration picture in the conventional $\pm J$ model.