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Physics NotePublished

Phase Diagram of the Z(4) Ferromagnet in Anisotropic Square Lattice

C. Tsallis; Jean Souletie

1985

Publication details

Authors
C. Tsallis; Jean Souletie
Type
Physics Note
Status
Published
Publication date
1985
Description
Within a real-space renormalisation group (RG) scheme, we study the criticality of the ferromagnetic Z(4) model on anisotropic square lattice. We use a RG cluster which has already proved to be very efficient for the Potts model on the same lattice. The establishment of the RG recurrence relations is greatly simplified through the break-collapse method. The phase diagram (exhibiting ferromagnetic, paramagnetic and nematic-like phases) recovers ''all'' the available ''exact'' results, and is believed to be a high precision one everywhere. If the model is alternatively thought as being associated with a particular hierarchical lattice rather than with the square one, then it is exact everywhere.
Year
1985
Number
CBPF-NF-050/85
Linked to a thesis
No
Linked to a grant
No
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