Conformal invariance and critical exponents of the Takhtajan-Babujian models
- 7 December 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (23) , 4397-4413
- https://doi.org/10.1088/0305-4470/21/23/021
Abstract
The authors are concerned with the critical properties of antiferromagnetic Takhtajan-Babujian models with spin S=1, 3/2 and 2. The leading eigenenergies of this Hamiltonian, in a finite chain, are calculated by investigating numerically and analytically the Bethe ansatz equations for the finite system. The critical exponents and the conformal anomaly are obtained from their relations with the eigenspectrum of the finite Hamiltonian. The appearance of logarithmic corrections produces poor estimates. However, a combination of analytical and numerical methods produces very good estimates. Their results strongly support the conjecture that the Wess-Zumino-Witten-Novikov non-linear sigma models with topological charge k=2S are the underlying field theories for these spin-S statistical mechanics models.Keywords
This publication has 35 references indexed in Scilit:
- Conformal anomaly and critical exponents of the spin-1 Takhtajan-Babujian modelJournal of Physics A: General Physics, 1988
- Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systemsAnnals of Physics, 1988
- Critical theory of quantum spin chainsPhysical Review B, 1987
- Conformal invariance and the spectrum of theXXZchainPhysical Review Letters, 1987
- Realization of a Witten Critical Theory inNMnPhysical Review Letters, 1986
- Exact critical exponents for quantum spin chains, non-linear σ-models at θ=π and the quantum hall effectNuclear Physics B, 1986
- Universal term in the free energy at a critical point and the conformal anomalyPhysical Review Letters, 1986
- Heisenberg magnet with an arbitrary spin and anisotropic chiral fieldNuclear Physics B, 1986
- Exact solution of the isotropic Heisenberg chain with arbitrary spins: Thermodynamics of the modelNuclear Physics B, 1983
- Exact solution of the one-dimensional isotropic Heisenberg chain with arbitrary spins SPhysics Letters A, 1982