Comment on "Ground-state properties of a spin-1 antiferromagnetic chain"
- 1 April 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 31 (7) , 4698-4699
- https://doi.org/10.1103/physrevb.31.4698
Abstract
Botet and Jullien [Phys. Rev. B 27, 613 (1983)] and Botet, Jullien, and Kolb [Phys. Rev. B 28, 3914 (1983)] performed a finite-size scaling analysis of the spin-1 antiferromagnetic Heisenberg-Ising chain. Their work was criticized by Bonner and Müller [Phys. Rev. B 29, 5216 (1984)] on the grounds that a similar analysis for spin ½ yields misleading results. In the present work, we show that the plane-rotator version of spin-1 chain has some features similar to that obtained by Botet et al., although, unfortunately, our model can be solved analytically only over a restricted set of the parameters, and thus does not unambiguously confirm their results. The need for further studies is emphasized.Keywords
This publication has 8 references indexed in Scilit:
- Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma modelPublished by Elsevier ,2002
- Transfer matrix in plane-rotator modelPhysics Letters A, 1984
- Reply to "Comment on `Ground-state properties of a spin-1 antiferromagnetic chain' "Physical Review B, 1984
- Comment on "Ground-state properties of a spin-1 antiferromagnetic chain"Physical Review B, 1984
- Finite-size-scaling study of the spin-1 Heisenberg-Ising chain with uniaxial anisotropyPhysical Review B, 1983
- Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel StatePhysical Review Letters, 1983
- Ground-state properties of a spin-1 antiferromagnetic chainPhysical Review B, 1983
- Vertical-Arrow Correlation Length in the Eight-Vertex Model and the Low-Lying Excitations of theHamiltonianPhysical Review A, 1973