METHOD FOR SOLVING INTEGRABLE A(2) SPIN CHAINS COMBINING DIFFERENT REPRESENTATIONS

Authors
ABAD J RIOS M
Citation
J. Abad et M. Rios, METHOD FOR SOLVING INTEGRABLE A(2) SPIN CHAINS COMBINING DIFFERENT REPRESENTATIONS, Physical review. B, Condensed matter, 53(21), 1996, pp. 14000-14003
Citations number
23
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
53
Issue
21
Year of publication
1996
Pages
14000 - 14003
Database
ISI
SICI code
0163-1829(1996)53:21<14000:MFSIAS>2.0.ZU;2-0
Abstract
A nonhomogeneous spin chain in the representations {3} and {3} of A(2 ) is analyzed. We find that the naive nested Bethe ansatz is not appli cable to this case. A method inspired in the nested Bethe ansatz that can be applied to more general cases is developed for that chain. The solution for the eigenvalues of the trace of the monodromy matrix is g iven as two coupled Bethe equations different from that for a homogene ous chain. A conjecture about the form of the solutions for more gener al chains is presented.