Critical Behavior of the Three-Dimensional Ising Spin Glass

Details Critical Behavior of the Three-Dimensional Ising Spin Glass Critical Behavior of the Three-Dimensional Ising Spin Glass

2000-06-13

arxiv.org/abs/cond-mat/0006211v3

Phys. Rev. B 62, 14237 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex; 12 pages plus 5 ps figures. Final version to be published in PRB

Scientific paper

10.1103/PhysRevB.62.14237

We have simulated, using parallel tempering, the three dimensional Ising spin glass model with binary couplings in a helicoidal geometry. The largest lattice (L=20) has been studied using a dedicated computer (the SUE machine). We have obtained, measuring the correlation length in the critical region, a strong evidence for a second-order finite temperature phase transition ruling out other possible scenarios like a Kosterlitz-Thouless phase transition. Precise values for the $\nu$ and $\eta$ critical exponents are also presented.

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