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

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.

6 pages, Latex, 3 postscript figures uuencoded

Cited by in corpus (4)

• Finite Size Scaling Analysis of Exact Ground States for +/-J Spin Glass Models in Two Dimensions
• Frustrated Systems: Ground State Properties via Combinatorial Optimization
• Ground-State Phase Diagrams of the Two-Dimensional Quantum Heisenberg Spin Glass Models
• Exact Ground-State Energy of the Ising Spin Glass on Strips