Renormalization-group study of the Hamiltonian version of the Potts model. III. Improved results for larger cells

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Abstract

The renormalization-group transformation, applied earlier to the Hamiltonian Potts model to study the crossover from second-order to first-order transition as the number of states q increases, is extended by taking larger cells in the block transformation. The results improve systematically with increasing block size. The critical value of q above which the transition is of first order, seems to converge to 5 instead of the exactly known value qc=4. The classical equivalents of the new couplings, which drive the system to the first-order transition, are discussed.

Original languageEnglish
Pages (from-to)2792-2799
Number of pages8
JournalPhysical Review B
Volume28
Issue number5
DOIs
Publication statusPublished - 1983

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Potts model
Hamiltonians
cells
crossovers

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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abstract = "The renormalization-group transformation, applied earlier to the Hamiltonian Potts model to study the crossover from second-order to first-order transition as the number of states q increases, is extended by taking larger cells in the block transformation. The results improve systematically with increasing block size. The critical value of q above which the transition is of first order, seems to converge to 5 instead of the exactly known value qc=4. The classical equivalents of the new couplings, which drive the system to the first-order transition, are discussed.",
author = "F. Igl{\'o}i and J. S{\'o}lyom",
year = "1983",
doi = "10.1103/PhysRevB.28.2792",
language = "English",
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pages = "2792--2799",
journal = "Physical Review B-Condensed Matter",
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publisher = "American Physical Society",
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AU - Sólyom, J.

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AB - The renormalization-group transformation, applied earlier to the Hamiltonian Potts model to study the crossover from second-order to first-order transition as the number of states q increases, is extended by taking larger cells in the block transformation. The results improve systematically with increasing block size. The critical value of q above which the transition is of first order, seems to converge to 5 instead of the exactly known value qc=4. The classical equivalents of the new couplings, which drive the system to the first-order transition, are discussed.

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