An extension of estimation of critical points in ground state for random spin systems

Abstract

Most of the analytical studies on spin glasses are performed by using mean-field theory and renormalization group analysis. Analytical studies on finite-dimensional spin glasses are very challenging. In this short note, a possible exten- sion of the approaches on the phase transition in spin glasses is demonstrated. To validate our extension, we compared our estimates on the critical points with the existing numerical results.

2 pages, 2 figures

References in corpus (4)

• Locations of multicritical points for spin glasses on regular lattices
• Multicritical points for the spin glass models on hierarchical lattices
• Universality in phase boundary slopes for spin glasses on self dual lattices
• High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials