Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 109, Issue 17, Pages 6452-6456Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1203295109
Keywords
de Almeida-Thouless line; critical exponents; parallel tempering; scaling corrections
Categories
Funding
- Ministerio de Ciencia e Innovacion (MICINN), Spain [FIS2009-12648-C03, FIS2010-16587, TEC2010-19207]
- Universidad Complutense de Madrid (UCM)-Banco de Santander [GR32/10-A/910383]
- Junta de Extremadura, Spain [GR10158]
- Universidad de Extremadura [ACCVII-08]
- Formacion de Profesorado Universitario (FPU) (Ministerio de Educacion, Spain)
- Formacion de Personal Investigador (FPI) (Diputacion de Aragon, Spain)
- FPI (Ministerio de Ciencia e Innovacion, Spain)
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Spin glasses are a longstanding model for the sluggish dynamics that appear at the glass transition. However, spin glasses differ from structural glasses in 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 behavior 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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