Universality of the glassy transitions in the two-dimensional +- J Ising model

Details Universality of the glassy transitions in the two-dimensional +- J Ising model Universality of the glassy transitions in the two-dimensional +- J Ising model

2010-05-25

arxiv.org/abs/1005.4491v1

Phys. Rev. E 82 (2010) 021106

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 17 figs

Scientific paper

10.1103/PhysRevE.82.021106

We investigate the zero-temperature glassy transitions in the square-lattice +- J Ising model, with bond distribution $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$; p=1 and p=1/2 correspond to the pure Ising model and to the Ising spin glass with symmetric bimodal distribution, respectively. We present finite-temperature Monte Carlo simulations at p=4/5, which is close to the low-temperature paramagnetic-ferromagnetic transition line located at p=0.89, and at p=1/2. Their comparison provides a strong evidence that the glassy critical behavior that occurs for $1-p_0

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