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Antiferromagnetic Ising model in scale-free networks

  • Statistical and Nonlinear Physics
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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-γ. 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 Tc has been studied as a function of the parameter γ and the minimum degree present in the networks. Tc is found to increase when the exponent γ is reduced, in line with a larger frustration caused by the presence of nodes with higher degree.

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Authors and Affiliations

  1. Instituto de Ciencia de Materiales de Madrid, Consejo Superior de Investigaciones Científicas (CSIC), Campus de Cantoblanco, 28049, Madrid, Spain

    C. P. Herrero

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  1. C. P. Herrero
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Herrero, C. Antiferromagnetic Ising model in scale-free networks. Eur. Phys. J. B 70, 435–441 (2009). https://doi.org/10.1140/epjb/e2009-00240-2

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  • DOI: https://doi.org/10.1140/epjb/e2009-00240-2

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