The S=1 quantum spin chain with pure biquadratic exchange

Published under licence by IOP Publishing Ltd
, , Citation J B Parkinson 1988 J. Phys. C: Solid State Phys. 21 3793 DOI 10.1088/0022-3719/21/20/014

0022-3719/21/20/3793

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 .

Export citation and abstract BibTeX RIS

10.1088/0022-3719/21/20/014