Hard hexagons: interfacial tension and correlation length
- 1 March 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (3) , 897-910
- https://doi.org/10.1088/0305-4470/15/3/027
Abstract
Functional equations are derived for the eigenvalues of the row-to-row transfer matrix of the generalised hard hexagon model. These equations are exact for a lattice with N columns and are solved in the limit N to infinity . The partition function per site is rederived without the previous analyticity assumptions. The authors are also able to calculate the interfacial tension and the correlation length; the associated critical exponents are mu = nu = nu '=5/6 in agreement with the scaling relations.Keywords
This publication has 4 references indexed in Scilit:
- Hard hexagons: exact solutionJournal of Physics A: General Physics, 1980
- Vertical-Arrow Correlation Length in the Eight-Vertex Model and the Low-Lying Excitations of theHamiltonianPhysical Review A, 1973
- Asymptotically degenerate maximum eigenvalues of the eight-vertex model transfer matrix and interfacial tensionJournal of Statistical Physics, 1973
- Partition function of the Eight-Vertex lattice modelAnnals of Physics, 1972