Universal Finite Size Scaling Functions in the 3D Ising Spin Glass

Details Universal Finite Size Scaling Functions in the 3D Ising Spin Glass Universal Finite Size Scaling Functions in the 3D Ising Spin Glass

1999-04-17

arxiv.org/abs/cond-mat/9904246v2

Phys.Rev.Lett. 82 (1999) 5128-5131

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, Revtex, 4 postscript figures included

Scientific paper

10.1103/PhysRevLett.82.5128

We study the three-dimensional Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Monte Carlo data are extrapolated to infinite volume with an iterative procedure up to correlation lengths xi \approx 140. The infinite volume data are consistent with a conventional power law singularity at finite temperature Tc. Taking into account corrections to scaling, we find Tc = 1.156 +/- 0.015, nu = 1.8 +/- 0.2 and eta = -0.26 +/- 0.04. The data are also consistent with an exponential singularity at finite Tc, but not with an exponential singularity at zero temperature.

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