Low Temperature Phase of Asymmetric Spin Glass Model in Two Dimensions

TL;DR

This paper studies the low temperature behavior of a two-dimensional asymmetric spin glass model, providing evidence for a spin glass phase transition characterized by finite size scaling and power-law decay of correlations.

Contribution

It introduces a detailed analysis of the low temperature phase of an asymmetric 2D spin glass model using a cluster heat bath method, revealing the existence of a spin glass phase transition.

Findings

Binder parameters for different lattice sizes converge at the transition temperature

Finite size scaling supports the occurrence of a spin glass phase at low temperatures

Spin correlations decay as a power law in the low temperature phase

Abstract

We investigate low temperature properties of a random Ising model with $+J$ and $-aJ (a \neq 1)$ bonds in two dimensions using a cluster heat bath method. It is found that the Binder parameters $g_L$ for different sizes of the lattice come together at almost the same temperature implying the occurrence of the spin glass(SG) phase transition. From results of finite size scaling analyses, we suggest that the SG phase really occurs at low temperatures which is characterized by a power law decay of spin correlations.