Novel order parameter to describe the critical behavior of Ising spin glass models

Abstract

A novel order parameter $\Phi$ for spin glasses is defined based on topological criteria and with a clear physical interpretation. $\Phi$ is first investigated for well known magnetic systems and then applied to the Edwards-Anderson $\pm J$ model on a square lattice, comparing its properties with the usual $q$ order parameter. Finite size scaling procedures are performed. Results and analyses based on $\Phi$ confirm a zero temperature phase transition and allow to identify the low temperature phase. The advantages of $\Phi$ are brought out and its physical meaning is established.

arXiv comment13 pages, 4 figures, to appear in Physica A

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Cited by in corpus (5)

• Signature of the Ground-State Topology in the Low-Temperature Dynamics of Spin Glasses
• Strong Dynamical Heterogeneities in the Violation of the Fluctuation-Dissipation Theorem in Spin Glasses
• Influence of the Ground-State Topology on the Domain-Wall Energy in the Edwards-Anderson +/- J Spin Glass Model
• Domain growth within the backbone of the three-dimensional $\pm J$ Edwards-Anderson spin glass
• Critical behavior of the 2D Ising model modulated by the Octonacci sequence