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Critical Behavior of the Three-Dimensional Ising Spin Glass

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arxiv cond-mat/0006211 v3 pith:IVMEAP4L submitted 2000-06-13 cond-mat.dis-nn cond-mat.stat-mech

Critical Behavior of the Three-Dimensional Ising Spin Glass

H.G. Ballesteros , A. Cruz , L.A. Fernandez , V. Martin-Mayor , J. Pech , J.J. Ruiz-Lorenzo , A. Tarancon , P. Tellez
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C.L. Ullod C. Ungil
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classification cond-mat.dis-nn cond-mat.stat-mech
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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 (L=20) has been studied using a dedicated computer (the SUE machine). We have obtained, measuring the correlation length in the critical region, a strong evidence for a second-order finite temperature phase transition ruling out other possible scenarios like a Kosterlitz-Thouless phase transition. Precise values for the $\nu$ and $\eta$ critical exponents are also presented.

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  1. Low energy excitations in a long prism geometry: testing the lower critical dimension of the Ising spin glass

    cond-mat.dis-nn 2026-01 conditional novelty 7.0

    A long-prism simulation of the 3D Ising spin glass yields lower critical dimension D_lc = 2.49(3), favoring mean-field 5/2 over the droplet-model value ≈2.61.