Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction

TL;DR

This study investigates the presence of spin glass behavior in an antiferromagnetic Heisenberg model on rewired square lattices, using Monte Carlo simulations to identify potential spin glass phases driven by topological frustration.

Contribution

It extends previous research by exploring spin glass properties in a rewired square lattice, highlighting the role of topology-induced frustration without ferromagnetic interactions.

Findings

Evidence of spin glass phase in the model.

Topological frustration induces spin glass behavior.

Rewired lattices exhibit unique magnetic properties.

Abstract

Spin glass (SG) is a typical magnetic system with frozen random spin orientation at low temperatures. The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two main ingredients considered to be pivotal for the existence of SG behavior, namely, frustration and randomness. For the canonical SG system, frustration is led by the presence of competing interaction between ferromagnetic (FM) and antiferromagnetic (AF) couplings. Previously, Bartolozzi {\it et al.} [ Phys. Rev. B{\bf 73}, 224419 (2006)], reported the SG properties of the AF Ising spins on scale free network (SFN). It is a new type of SG, different from the canonical one which requires the presence of both FM and AF couplings. In this new system, frustration is purely caused by the topological factor and its randomness is related to the irregular connectvity. Recently, Surungan {\it et. al.} [Journal of Physics: Conference Series 640, 012001 (2015)] reported SG bahavior of AF Heisenberg model on SFN. We further investigate this type of system by studying an AF Heisenberg model on rewired square lattices. We used Replica Exchange algorithm of Monte Carlo Method and calculated the SG order parameter to search for the existence of SG phase.