Low-temperature behavior of two-dimensional Gaussian Ising spin glasses

Details Low-temperature behavior of two-dimensional Gaussian Ising spin glasses Low-temperature behavior of two-dimensional Gaussian Ising spin glasses

2004-02-02

arxiv.org/abs/cond-mat/0402036v1

Phys. Rev. B 70, 014418 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 11 figures

Scientific paper

10.1103/PhysRevB.70.014418

We perform Monte Carlo simulations of large two-dimensional Gaussian Ising spin glasses down to very low temperatures $\beta=1/T=50$. 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 $T_c=0$. All results are compatible with an algebraic divergence of the correlation length with an exponent $\nu$. We find $-1/\nu=-0.295(30)$, which is compatible with the value for the domain-wall and droplet exponent $\theta\approx-0.29$ found previously in ground-state studies. Hence the thermodynamic behavior of this model seems to be governed by one single exponent.

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