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arxiv: 1310.2910 · v1 · pith:W3FXTY47new · submitted 2013-10-10 · ❄️ cond-mat.dis-nn

Critical parameters of the three-dimensional Ising spin glass

classification ❄️ cond-mat.dis-nn
keywords scalingcriticalisingcorrectionsexponentglassspinthree-dimensional
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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, \nu = 2.562(42) for the thermal exponent, \eta = -0.3900(36) for the anomalous dimension and \omega = 1.12(10) for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield \alpha = -5.69(13), \beta = 0.782(10) and \gamma = 6.13(11). We also compute several universal quantities at Tc.

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