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Self-dual transfer matrix renormalization for the triangular Potts model

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  • Kim, Doochul

Abstract

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.

Suggested Citation

  • Kim, Doochul, 1984. "Self-dual transfer matrix renormalization for the triangular Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 577-585.
    • Handle: RePEc:eee:phsmap:v:123:y:1984:i:2:p:577-585
    DOI: 10.1016/0378-4371(84)90173-0
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    References listed on IDEAS

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    1. Den Nijs, M.P.M., 1979. "The Kadanoff lowerbound renormalization transformation for the q-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 449-472.
    2. Unknown, 1978. "Facilities for Insect Research and Production," Technical Bulletins 157863, United States Department of Agriculture, Economic Research Service.
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