1207.7014 (R. A. Baños et al.)

The correspondence between long-range and short-range spin glasses    [PDF]

R. A. Baños, L. A. Fernandez, V. Martin-Mayor, A. P. Young

We compare the critical behavior of the short-range Ising spin glass with a spin glass with long-range interactions which fall off as a power sigma of the distance. We show that there is a value of sigma of the long-range model for which the critical behavior is very similar to that of the short-range model in four dimensions. We also study a value of sigma for which we find the critical behavior to be compatible with that of the three dimensional model, though we have much less precision than in the four-dimensional case.

View original: http://arxiv.org/abs/1207.7014