Conformal invariance and the Heisenberg model with arbitrary spin
- 14 August 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (7) , 708-711
- https://doi.org/10.1103/physrevlett.63.708
Abstract
The eigenspectrum of the critical anisotropic Heisenberg model (or XXZ model), with arbitrary spin S in its disordered-ferroelectric regime (0≤γ≤π/2S) is solved by the Bethe-Ansatz method. The amplitudes of the leading finite-size corrections are calculated analytically and numerically. Using conformal invariance we give exact results for the conformal anomaly and scaling dimensions. Our results indicate that, for all spin S, the critical behavior is governed by a conformal field theory with central charge c=1.Keywords
This publication has 17 references indexed in Scilit:
- Current algebra and Wess-Zumino model in two dimensionsPublished by Elsevier ,2002
- Critical Spin Models with Continuously Varying ExponentsPhysical Review Letters, 1988
- Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systemsAnnals of Physics, 1988
- Operator content of the XXZ chainJournal of Physics A: General Physics, 1988
- Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrumJournal of Physics A: General Physics, 1987
- Conformal invariance and the spectrum of theXXZchainPhysical Review Letters, 1987
- Ground state and low-lying excitations in the Heisenberg XXZ chain of arbitrary spin SPhysics Letters A, 1984
- Conformal Invariance, Unitarity, and Critical Exponents in Two DimensionsPhysical Review Letters, 1984
- New Factorized S-Matrix and Its Application to Exactly Solvable q-State Model. IProgress of Theoretical Physics, 1983
- Estimate of the Pseudoscalar Decay ConstantPhysical Review Letters, 1977