Strong universality and algebraic scaling in two-dimensional Ising spin glasses

Details Strong universality and algebraic scaling in two-dimensional Ising spin glasses Strong universality and algebraic scaling in two-dimensional Ising spin glasses

2006-01-20

arxiv.org/abs/cond-mat/0601480v3

Physical Review Letters 96 (2006) 237205

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.96.237205

At zero temperature, two-dimensional Ising spin glasses are known to fall into several universality classes. Here we consider the scaling at low but non-zero temperature and provide numerical evidence that $\eta \approx 0$ and $\nu \approx 3.5$ in all cases, suggesting a unique universality class. This algebraic (as opposed to exponential) scaling holds in particular for the $\pm J$ model, with or without dilutions and for the plaquette diluted model. Such a picture, associated with an exceptional behavior at T=0, is consistent with a real space renormalization group approach. We also explain how the scaling of the specific heat is compatible with the hyperscaling prediction.

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