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Critical behavior of the three-dimensional Ising spin glass

2000/06/30 by H.G. Ballesteros, H. G. Ballesteros, A. Cruz +13
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.62.14237

published as Phys. Rev. B 62, 14237 (2000) · RevTex; 12 pages plus 5 ps figures. Final version to be published in PRB

arxiv created 2000/09/04 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, 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 \ensuremathν and \ensuremathη critical exponents are also presented.

Citations