Evidence for nonuniversal scaling in dimension-four Ising spin glasses

P. H. Lundow , Ian Campbell (1, 2)

1 L2C - Laboratoire Charles Coulomb
2 Physique Statistique

The critical behavior of the Binder cumulant for Ising spin glasses in dimension four is studied throughsimulation measurements. Data for the bimodal interaction model are compared with those for the Laplacianinteraction model. Special attention is paid to scaling corrections. The limiting infinite size value at criticality forthis dimensionless variable is a parameter characteristic of a universality class. This critical limit is estimated tobe equal to 0.523(3) in the bimodal model and to 0.473(3) in the Laplacian model.

Domaines: Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

P. H. Lundow, Ian Campbell. Evidence for nonuniversal scaling in dimension-four Ising spin glasses. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2015, 91 (4), pp.042121. ⟨10.1103/PhysRevE.91.042121⟩. ⟨hal-01202098⟩