Monte-Carlo Simulation of a Gaussian Isign Spin Glass–Bond Patterns and Clustering Feature–

Abstract

For the purpose to study clustering feature in one sample of spin glasses by means of Monte-Carlo simulations, we devise a `bond pattern' of the system, which is constructed by drawing stable right bonds (\( \langle \sigma _{i}\sigma _{j}\text{sgn}(J_{ij}) \rangle \cong 1\)) and stable wrong bonds (\( \langle \sigma _{i}\sigma _{j}\text{sgn}(J_{ij}) \rangle \cong{-}1\)) in a figure. We apply this idea to a Gaussian Ising spin glass, and investigate temperature- and time-dependences of clusters in this system, which are sets of spins connected by such stable bonds.