First- and Second-Order Phase Transitions in Potts Models: Renormalization-Group Solution
- 10 September 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 43 (11) , 737-740
- https://doi.org/10.1103/physrevlett.43.737
Abstract
A generalization of the Niemeijer-van Leeuwen renormalization-group transformation treating disordered cells of spins as vacancies is introduced and applied to the two-dimensional -state Potts model. Finite-lattice approximations yield the changeover from continuous to first-order phase transitions predicted by Baxter but not observed in previous renormalization-group calculations. Exact results are conjectured for the tricritical exponents of dilute Potts models.
Keywords
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