2006/05/31 by L. W. Lee, Helmut G. Katzgraber, A. P. Young · 2 citations
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
paper · pdf · doi:10.1103/physrevb.74.104416
published as Phys. Rev. B 74, 104416 (2006) · 11 pages, 13 figures, 6 tables
arxiv created 2006/09/26 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p=3, a finite-size scaling analysis of the correlation length shows clear evidence of a transition to a spin-glass phase at Tc\ensuremath≃0.273 for a Gaussian distribution of interactions and Tc\ensuremath≃0.377 for a \ifmmode±\else\textpm\fiJ (bimodal) distribution. These results indicate that the lower critical dimension of the three-state Potts glass is below 3. By contrast, the correlation length of the ten-state (p=10) Potts glass in three dimensions remains small even at very low temperatures and thus shows no sign of a transition. In four dimensions we find that the p=3 Potts glass with Gaussian interactions has a spin-glass transition at Tc\ensuremath≃0.536.