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Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

2004/03/19 by Takeo Yamamoto, Takeshi Sugashima, Tota Nakamura · 1 citation
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.70.184417

published as Phys. Rev. B 70, 184417 (2004) · 11 pages, 8 figures, incorrect arguments are deleted

arxiv created 2004/03/19 · openalex publication_date 2004/11/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A three-dimensional \ifmmode±\else\textpm\fiJ XY spin-glass model is investigated using the nonequilibrium relaxation method. We have introduced a criterion for the finite-time-scaling analysis. The transition temperature is estimated by a crossing point of the obtained data. The scaling analysis of the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by the relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. All results are consistent if we consider that the transition is driven by the spin degrees of freedom.

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