THE YANGIAN SYMMETRY OF THE HUBBARD MODELS WITH VARIABLE-RANGE-HOPPING

Authors
GOHMANN F INOZEMTSEV V
Citation
F. Gohmann et V. Inozemtsev, THE YANGIAN SYMMETRY OF THE HUBBARD MODELS WITH VARIABLE-RANGE-HOPPING, Physics letters. A, 214(3-4), 1996, pp. 161-166
Citations number
16
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
214
Issue
3-4
Year of publication
1996
Pages
161 - 166
Database
ISI
SICI code
0375-9601(1996)214:3-4<161:TYSOTH>2.0.ZU;2-Q
Abstract
We present two pairs of Y(sl(2)) Yangian symmetries for the trigonomet ric and hyperbolic versions of the Hubbard model with nonnearest-neigh bour hopping. In both cases the Yangians are mutually commuting, and h ence can be combined into a Y(sl(2))+Y(sl(2)) Yangian. Their mutual co mmutativity is of dynamical origin. The known Yangians of the Haldane- Shastry spin chain and the nearest-neighbour Hubbard model are contain ed as limiting cases of our new representations.