A coupled order parameter system on a scale-free network
Abstract
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<T_c, when O(n) symmetry is present. This behavior is related to the appearance of Goldstone modes.
Keywords
Cite
@article{arxiv.0903.4759,
title = {A coupled order parameter system on a scale-free network},
author = {V. Palchykov and C. von Ferber and R. Folk and Yu. Holovatch},
journal= {arXiv preprint arXiv:0903.4759},
year = {2015}
}
Comments
13 pages, 2 figures