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Critical parameters of the three-dimensional Ising spin glass

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Baity-Jesi, Marco and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio and Otros, ... (2013) Critical parameters of the three-dimensional Ising spin glass. Physical review B, 88 (22). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.88.224416


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http://journals.aps.org/Publisher


Abstract

We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L = 40 using the Janus dedicated computer. Our analysis takes into account leading-order corrections to scaling. We obtain Tc = 1.1019(29) for the critical temperature, ν = 2.562(42) for the thermal exponent, η = −0.3900(36) for the anomalous dimension, and ω = 1.12(10) for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield α = −5.69(13), β = 0.782(10), and γ = 6.13(11). We also compute several
universal quantities at Tc.


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Additional Information:

© 2013 American Physical Society. Artículo firmado por 24 autores. The total simulation time devoted to this project was the equivalent of 107 days of the full Janus machine (L 32) and 43 days of the full (3072 cores) Memento cluster. 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 the MICINN (Spain) (Contracts No. FIS2006-08533, No. FIS2012-35719-C02, No. FIS2010-16587, No. TEC2010-19207); by the SUMA project of INFN (Italy); by the Junta de Extremadura (GR10158); by the Microsoft Prize 2007, and by the European Union (PIRSESGA-2011-295302). F.R.-T. was supported by the Italian Research Ministry through FIRB Project No. RBFR086NN1; M.B.-J. was supported by the FPU program (Ministerio de Educación, Spain); R.A.B. and J.M.-G. were supported by the 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; Universality; Simulations; Transition; Systems.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:37252
Deposited On:27 Apr 2016 08:14
Last Modified:03 May 2016 10:18

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