Self-dual transfer matrix renormalization for the triangular Potts model

The transfer matrix renormalization method is utilized to obtain an approximate renormalization group transformation for the Potts model on triangular lattice with two- and three-site interactions in every other triangular face. The transformation preserves exact duality of the model and hence produ...

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Bibliographic Details
Published in:Physica A 1984-01, Vol.123 (2), p.577-585
Main Author: Kim, Doochul
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nonlinear dynamics and nonlinear dynamical systems
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:The transfer matrix renormalization method is utilized to obtain an approximate renormalization group transformation for the Potts model on triangular lattice with two- and three-site interactions in every other triangular face. The transformation preserves exact duality of the model and hence produces exact critical surfaces. Fixed point and scaling exponents are found to be identical to that of the hamiltonian version of the model. The duality relation of the model is usually derived by assuming that a certain similarity transformation operator exists. Explicit representation of this operator is also constructed.
ISSN:0378-4371
1873-2119
DOI:10.1016/0378-4371(84)90173-0