Phase diagram and critical properties of the (1+1)-dimensional Ashkin-Teller model

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20 Citations (Scopus)


The (1+1)-dimensional Ashkin-Teller model is studied by the renormalisation group method and by the finite lattice extrapolation technique. The possible phases and their boundaries in an extended space of couplings are determined from the degeneracy structure of the low-lying levels in the thermodynamic limit. The critical behaviour is investigated for ferromagnetic couplings using increasing block sizes in the renormalisation transformation. The line of fixed points and its bifurcation at the Potts fixed point is studied.

Original languageEnglish
Article number021
Pages (from-to)1531-1545
Number of pages15
JournalJournal of Physics A: General Physics
Issue number7
Publication statusPublished - Dec 1 1984

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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