Conformal invariance and the critical behaviour of a quantum spin Hamiltonian with three-spin coupling
- 1 January 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (1) , 179-188
- https://doi.org/10.1088/0305-4470/20/1/026
Abstract
A quantum spin model with three-spin coupling is studied by finite-lattice methods. The critical indices nu and alpha are obtained by standard finite-size scaling analysis. Conformal invariance is used to estimate the exponents nu and eta , the central charge or conformal anomaly c and the anomalous dimension of a spin 1/4 parafermion. The authors conclude that the model belongs to the same universality class as the four-state Potts and Baxter-Wu models, although the convergence of the various finite lattice estimators is extremely slow.Keywords
This publication has 34 references indexed in Scilit:
- Conformal invariance, the central charge, and universal finite-size amplitudes at criticalityPhysical Review Letters, 1986
- Hamiltonian studies of the Blume-Emery-Griffiths modelPhysical Review B, 1985
- Phenomenological renormalization of multi-parameter systemsPhysica A: Statistical Mechanics and its Applications, 1985
- Finite size studies of the Ashkin-Teller modelJournal of Physics A: General Physics, 1984
- General self-dual spin models in two dimensionsJournal of Physics A: General Physics, 1982
- Extrapolation of sequences using a generalized epsilon-algorithmThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1982
- Phase transitions in two dimensionsPhysics Reports, 1980
- Ising Model on a Triangular Lattice with Three-spin Interactions. I. Free Energy and Correlation LengthAustralian Journal of Physics, 1974
- Ising Model on a Triangular Lattice with Three-spin Interactions. I. The Eigenvalue EquationAustralian Journal of Physics, 1974
- Partition function of the Eight-Vertex lattice modelAnnals of Physics, 1972