The S=1 quantum spin chain with pure biquadratic exchange
- 20 July 1988
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 21 (20) , 3793-3806
- https://doi.org/10.1088/0022-3719/21/20/014
Abstract
States of the pure biquadratic quantum spin chain with up to four deviations are calculated exactly for arbitrary chain length. The four-deviation states have a Bethe ansatz form and consist of two interacting two-strings. They have the same form as two-deviation states of an integrable S=1/2 XXZ model. It is found that states with more than four deviations also map onto corresponding S=1/2 states. The ground states of the two systems are not the same for finite N, but appear to become the same in the limit N to infinity .Keywords
This publication has 23 references indexed in Scilit:
- Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma modelPublished by Elsevier ,2002
- Rigorous results on valence-bond ground states in antiferromagnetsPhysical Review Letters, 1987
- Heisenberg model with higher-order exchange: Ground-state properties and excitationsPhysical Review B, 1984
- 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
- Ground state representation of the infinite one-dimensional Heisenberg ferromagnet. III. Scattering theoryJournal of Mathematical Physics, 1978
- Elementary excitations of high-degree pair interactions: The two-spin—deviation spectra for a spin-1 ferromagnetPhysical Review B, 1975
- Thermodynamics of the Heisenberg-Ising Ring forPhysical Review Letters, 1971
- Bound states in the spin wave problemJournal of Physics and Chemistry of Solids, 1963
- Spin-Wave Spectrum of the Antiferromagnetic Linear ChainPhysical Review B, 1962