Potts models with invisible states on general Bethe lattices

@article{Ananikian2013PottsMW,
  title={Potts models with invisible states on general Bethe lattices},
  author={N. Ananikian and N. Izmailyan and D. A. Johnston and R. Kenna and R. Ranasinghe},
  journal={Journal of Physics A},
  year={2013},
  volume={46},
  pages={385002}
}
  • N. Ananikian, N. Izmailyan, +2 authors R. Ranasinghe
  • Published 2013
  • Mathematics, Physics
  • Journal of Physics A
  • The number of so-called invisible states which need to be added to the q-state Potts model to transmute its phase transition from continuous to first order has attracted recent attention. In the q = 2 case, a Bragg–Williams (mean-field) approach necessitates four such invisible states while a 3-regular random graph formalism requires seventeen. In both of these cases, the changeover from second- to first-order behaviour induced by the invisible states is identified through the tricritical point… CONTINUE READING
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