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Physics NotePublished

Criticality of the Three-State Chiral Clock Model: A Renormalisation Group Study

M. L. Martins; C. Tsallis

1989

Publication details

Authors
M. L. Martins; C. Tsallis
Type
Physics Note
Status
Published
Publication date
1989
Description
Within a real space renormalisation group approach, we study the phase diagram and the universality classes of the three-state chiral clock model in a self-dual planar hierarchical lattice. We find that the chiral field <math>\Delta </math> is relevant at the pure Potts critical point with a crossover exponent <math>\simeq </math> 0.32. The critical line which separates the ferromagnetic phase from the non-ferromagnetic ones is characterized by a multicritical (Lifshitz) point located at (K, <math>\Delta </math>) <math>\simeq </math> (1.452,0.382). The ferromagnetic phase appears to be divided into two regions by a wetting line which we also locate numerically. The various critical lines. and point of the phase diagram are believed to be excellent approximations for the square lattice.
Year
1989
Number
CBPF-NF-039/89
Linked to a thesis
No
Linked to a grant
No
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