A coupled order parameter system on a scale-free network

Details A coupled order parameter system on a scale-free network A coupled order parameter system on a scale-free network

2009-03-27

arxiv.org/abs/0903.4759v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 2 figures

Scientific paper

The 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

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