Cluster mechanisms in the fully frustrated Ising model

TL;DR

This paper investigates the unique cluster algorithm in the fully frustrated Ising model, analyzing its properties and proposing improved parameters for better simulation results, along with a classification of cluster configurations.

Contribution

It provides a detailed analysis of the cluster algorithm's topological properties and introduces rules for cluster configurations in the fully frustrated Ising model.

Findings

Optimized bond freezing and spin flipping probabilities improve simulation accuracy.

Derived rules for cluster configurations based on topological analysis.

Classified cluster configurations using pairs of winding numbers.

Abstract

The cluster algorithm in the fully frustrated Ising model on the square lattice is essentially different from the ones used in other systems. Thus its better understanding is particularly important for finding new lines of development. Therefore we investigate it in detail. In our simulations of high statistics more appropriate choices of the probability for freezing bonds and of that for flipping spins are seen to lead to better results. In an analysis of the topological properties we derive a set of rules for possible cluster configurations and give a classification by pairs of winding numbers.