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

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

2012-02-25

arxiv.org/abs/1202.5593v1

Proc. Natl. Acad. Sci. USA (2012) 109, 6452-6456

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 6 figures

Scientific paper

10.1073/pnas.1203295109

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.

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