2001/07/28 by Alexander K. Hartmann
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.mtrl-sci
paper · pdf · doi:10.1103/physrevb.64.224430
published as Phys. Rev. B 64, 224430 (2001) · 5 pages, 6 figures, 1 table, revtex
arxiv created 2001/07/28 · openalex publication_date 2001/11/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The four-dimensional \ifmmode±\else\textpm\fiJ random-bond Ising model is studied using ground-state calculations. System sizes up to N=64 spins are considered. Here it is found that the ferromagnetic--spin-glass transition occurs at a critical concentration pc=0.28(1) of the antiferromagnetic bonds, which is comparable to values found previously by high-temperature series expansions. The transition is characterized by a correlation-length exponent \ensuremathν=1.0(1) and an order-parameter exponent \ensuremathβ=0.4(1). Thus, this transition is in a different universality class from four-dimensional bond percolation, where \ensuremathν=0.678(50) and \ensuremathβ=0.639(20).