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28 March 2024
 
  » arxiv » 0903.4759

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A coupled order parameter system on a scale-free network
V. Palchykov ; C. von Ferber ; R. Folk ; Yu. Holovatch ;
Date 27 Mar 2009
AbstractThe system of two scalar order parameters on a complex scale-free network is analyzed in the spirit of Landau theory. To add a microscopic background to the phenomenological approach we also study a particular spin Hamiltonian that leads to coupled scalar order behavior using the mean field approximation. Our results show that the system is characterized by either of two types of ordering: either one of the two order parameters is zero or both are non-zero but have the same value. While the critical exponents do not differ from those of a model with a single order parameter on a scale free network there are notable differences for the amplitude ratios and susceptibilities. Another peculiarity of the model is that the transverse susceptibility is divergent at all T<T_c, when O(n) symmetry is present. This behavior is related to the appearance of Goldstone modes.
Source arXiv, 0903.4759
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