Critical behavior of the three-dimensional Ising spin glass



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Ballesteros, H. G. and Cruz, A. and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Pech, J. and Ruiz Lorenzo, J. J. and Tarancón, A. and Téllez, P. and Ullod, C. L. and Ungil, C. (2000) Critical behavior of the three-dimensional Ising spin glass. Physical review B, 62 (21). pp. 14237-14245. ISSN 1098-0121

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We have simulated, using parallel tempering, the three-dimensional Ising spin glass model with binary couplings in a helicoidal geometry. The largest lattice (L520) has been studied using a dedicated computer (the SUE machine). We have obtained, measuring the correlation length in the critical region, strong evidence for a second-order finite-temperature phase transition, ruling out other possible scenarios like a KosterlitzThouless phase transition. Precise values for the ν and ƞ critical exponents are also presented.

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© 2000 The American Physical Society. We acknowledge discussions with E. Marinari and G. Parisi. We are grateful for the partial financial support from CICyT (AEN97-1680, AEN97-1693, AEN99-0990, and PB98-0842) and DGA (P46/97). V.M-M. was supported by a M.E.C. The computations have been carried out using the RTNN machines (Universidad de Zaragoza and Universidad
Complutense de Madrid) and the dedicated machine SUE
(Universidad de Zaragoza).

Uncontrolled Keywords:Antiferromagnetic RP(2) model; Monte-Carlo simulations; Mean field-theory; 3 dimensions; Cirtical exponents; Correlation length; Replica symmetry; Transitions; Equilibrium; Dynamics.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:40445
Deposited On:13 Dec 2016 11:35
Last Modified:13 Dec 2016 11:35

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