Tricriticality of Interacting Hard Squares: Some Exact Results
- 18 October 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (16) , 1121-1124
- https://doi.org/10.1103/physrevlett.49.1121
Abstract
Baxter has solved a restricted class of square lattice gas models with nearest-neighbor exclusion (thus "hard squares") and next-nearest-neighbor interactions. Arguments are presented which demonstrate that the subspace spanned by his exact solution contains the line of tricritical points and the associated surface of first-order transitions of hard squares with attractive next-nearest-neighbor interactions. The tricritical exponents so identified confirm those obtained by Nienhuis for a dilute Ising model.Keywords
This publication has 13 references indexed in Scilit:
- Hard hexagons: interfacial tension and correlation lengthJournal of Physics A: General Physics, 1982
- Analytical calculation of two leading exponents of the dilute Potts modelJournal of Physics A: General Physics, 1982
- Rogers-Ramanujan identities in the hard hexagon modelJournal of Statistical Physics, 1981
- Conjecture for the extended Potts model magnetic eigenvaluePhysical Review B, 1980
- Magnetic exponents of the two-dimensional q-state Potts modelJournal of Physics A: General Physics, 1980
- Hard hexagons: exact solutionJournal of Physics A: General Physics, 1980
- A relation between the temperature exponents of the eight-vertex and q-state Potts modelJournal of Physics A: General Physics, 1979
- Classification of continuous order-disorder transitions in adsorbed monolayersPhysical Review B, 1978
- Lattice gas transition of He on Grafoil. A continuous transition with cubic termsPhysics Letters A, 1975
- Hard-Sphere Lattice Gases. I. Plane-Square LatticeThe Journal of Chemical Physics, 1965