Thermodynamic glass transition in a spin glass without time-reversal symmetry

Abstract

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be broken by applying an external magnetic field, but embarrassingly little is known about the critical behaviour of a spin glass in a field. In this context, the space dimension is crucial. Simulations are easier to interpret in a large number of dimensions, but one must work below the upper critical dimension (i.e., in d<6) in order for results to have relevance for experiments. Here we show conclusive evidence for the presence of a phase transition in a four-dimensional spin glass in a field. Two ingredients were crucial for this achievement: massive numerical simulations were carried out on the Janus special-purpose computer, and a new and powerful finite-size scaling method.

arXiv comment10 pages, 6 figures

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• Novel disordering mechanism in ferromagnetic systems with competing interactions
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• Continuous and discontinuous transitions in generalized p-spin glass models
• Massively parallel simulations for disordered systems
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• Ferromagnetic phase in the polarized two-species bosonic Hubbard Model
• Long-range spin glass in a field at zero temperature
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• Machine learning in physics: The pitfalls of poisoned training sets