2004/02/02 by J. Houdayer, Alexander K. Hartmann · 1 citation
Physics and Astronomy · #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.70.014418
published as Phys. Rev. B 70, 014418 (2004) · 7 pages, 11 figures
arxiv created 2004/02/02 · arxiv updated 2009/12/01
We perform Monte Carlo simulations of large two-dimensional Gaussian Ising spin glasses down to very low temperatures β=1/T=50. Equilibration is ensured by using a cluster algorithm including Monte Carlo moves consisting of flipping fundamental excitations. We study the thermodynamic behavior using the Binder cumulant, the spin-glass susceptibility, the distribution of overlaps, the overlap with the ground state and the specific heat. We confirm that Tc=0. All results are compatible with an algebraic divergence of the correlation length with an exponent ν. We find -1/ν=-0.295(30), which is compatible with the value for the domain-wall and droplet exponent θ≈-0.29 found previously in ground-state studies. Hence the thermodynamic behavior of this model seems to be governed by one single exponent.