Antiferromagnetic Ising model in scale-free networks

Abstract

The antiferromagnetic Ising model in uncorrelated scale-free networks has been studied by means of Monte Carlo simulations. These networks are characterized by a connectivity (or degree) distribution P(k) ~ k^(- gamma). The disorder present in these complex networks frustrates the antiferromagnetic spin ordering, giving rise to a spin-glass (SG) phase at low temperature. The paramagnetic-SG transition temperature T_c has been studied as a function of the parameter gamma and the minimum degree present in the networks. T_c is found to increase when the exponent gamma is reduced, in line with a larger frustration caused by the presence of nodes with higher degree.

7 pages, 6 figures

References in corpus (4)

• Exact Solution of Ising Model on a Small-World Network
• Frustration effects in antiferromagnets on planar random graphs
• Spin glass properties of an Ising antiferromagnet on the Archimedean (3,12^2) lattice
• Effective field theory for models defined over small-world networks. First and second order phase transitions