Antiferromagnetic Ising model in scale-free networks

Details Antiferromagnetic Ising model in scale-free networks Antiferromagnetic Ising model in scale-free networks

2009-08-25

arxiv.org/abs/0908.3560v1

Eur. Phys. J. B 70, 435-441 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 6 figures

Scientific paper

10.1140/epjb/e2009-00240-2

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.

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