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Updated: Jul 18, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Spin-glass transition of the three-dimensional Heisenberg spin glass
I Campos1, M Cotallo-Aban, V Martin-Mayor
1Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), Corona de Aragón 42, Zaragoza 50009, Spain.
Abstract:
It is shown, by means of Monte Carlo simulation and finite size scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a spin glass and a chiral glass ordering develop. The Monte Carlo algorithm, adapted from lattice gauge theory simulations, makes it possible to thermalize lattices of size L = 32, larger than in any previous spin-glass simulation in three dimensions. High accuracy is reached thanks to the use of the Marenostrum supercomputer. The large range of system sizes studied allows us to consider scaling corrections.
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