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

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Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio and Seoane Bartolomé, Beatriz and Yllanes Mosquera, David and et al, ... (2012) Thermodynamic glass transition in a spin glass without time-reversal symmetry. Proceedings of the National Academy of Sciences of the United States of America, 109 (17). pp. 6452-6456. ISSN 0027-8424

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Official URL: http://doi.org/10.1073/pnas.1203295109




Abstract

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.


Item Type:Article
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© 2012 National Academy of Sciences. Artículo firmado por 22 autores. We thank Davide Rossetti for introducing us to the handling of the 128-bit registers. We acknowledge partial financial support from Ministerio de Ciencia e Innovación (MICINN), Spain, (contract nos. FIS2009-12648-C03, FIS2010-16587, TEC2010-19207), from Universidad Complutense de Madrid (UCM)-Banco de Santander (GR32/10-A/910383), from Junta de Extremadura, Spain (contract no. GR10158), and from Universidad de Extremadura (contract no. ACCVII-08). B.S. and D.Y. were supported by the Formación de Profesorado Universitario (FPU) program (Ministerio de Educación, Spain); R.A.B. and J.M.-G. were supported by the Formación de Personal Investigador (FPI) program (Diputación de Aragón, Spain); finally J.M.G.-N. was supported by the FPI program (Ministerio de Ciencia e Innovación, Spain).

Uncontrolled Keywords:Monte-Carlo; Model; Equilibrium; Simulations; Computer; Behavior; Torus; Field.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:37717
Deposited On:24 May 2016 07:27
Last Modified:25 May 2016 08:41

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