Evidence for a Finite-Temperature Spin Glass Transition in a Diluted Dipolar Heisenberg Model in Three Dimensions

TL;DR

This study provides strong numerical evidence for a finite-temperature spin-glass transition in a three-dimensional diluted dipolar Heisenberg model, using advanced Monte Carlo simulations and finite-size scaling analysis.

Contribution

It demonstrates the existence of a finite-temperature spin-glass phase in a diluted dipolar Heisenberg model through comprehensive simulation and scaling analysis, addressing previous uncertainties.

Findings

Finite-temperature spin-glass transition observed.

Finite-size scaling analysis supports transition.

No crossing found in Binder ratio.

Abstract

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We perform a finite-size scaling analysis of the spin-glass susceptibility, $\chi_{{\rm SG}}$, and spin-glass correlation length, $\xi_{L}$. For the available system sizes that can be successfully equilibrated, the crossing of $\xi_{L}/L$ versus temperature is strongly affected by corrections to scaling and possibly by a short-length scale ferromagnetic spin blocking. Similarly to many studies of different three dimensional spin-glass systems, we do not find a crossing of the spin glass order parameter Binder ratio.