The three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority



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Baity Jesi, Marco and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio and Otros, ... (2014) The three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority. Journal of statistical mechanics : theory and experiment, 2014 . ISSN 1742-5468

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We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards-Anderson spin glass in a field, using the Janus computer. A traditional analysis shows no signs of a phase transition. Yet, we encounter dramatic fluctuations in the behaviour of the model: Averages over all the data only describe the behaviour of a small fraction of it. Therefore we develop a new approach to study the equilibrium behaviour of the system, by classifying the measurements as a function of a conditioning variate. We propose a finite-size scaling analysis based on the probability distribution function of the conditioning variate, which may accelerate the convergence to the thermodynamic limit. In this way, we find a non-trivial spectrum of behaviours, where a part of the measurements behaves as the average, while the majority of them shows signs of scale invariance. As a result, we can estimate the temperature interval where the phase transition in a field ought to lie, if it exists. Although this would be critical regime is unreachable with present resources, the numerical challenge is finally well posed.

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© 2014 IOP Publishing Ltd and SISSA Medialab srl. Artículo firmado por 24 autores. The Janus project has been partially supported by the EU (FEDER funds, No. UNZA05-33-003, MEC DGA, Spain), by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007–2013, ERC grant agreement No. 247328), by MINECO (Spain) (contracts FIS2012-35719-C02, FIS2010-16587, TEC2010-19207), by the SUMA project of INFN (Italy), by the Junta de Extremadura (GR10158) and by the European Union (PIRSES-GA 2011-295302). FR-T was supported by the Italian Research Ministry through the FIRB project No. RBFR086NN1, MB-J was supported by the FPU programme (Ministerio de Educación, Spain), RAB and JM-G were supported by the FPI programme (Diputación de Aragón, Spain) and SP-G was supported by the ARAID foundation; finally JMG-N was supported by the FPI programme (Ministerio de Economía, Spain).

Uncontrolled Keywords:Replica symmetry-breaking; Scaling theory; Ordered phase; Model; Simulations; Transition; Behavior; Liquids; Janus.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:36341
Deposited On:19 Apr 2016 10:27
Last Modified:18 Oct 2019 14:58

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