The su(N) XX model

Details The su(N) XX model The su(N) XX model

1997-09-15

arxiv.org/abs/cond-mat/9709163v2

Nucl. Phys. B 517 (1998) 395-408

Physics

Condensed Matter

Statistical Mechanics

16 pages, TeX and harvmac (option b). Minor corrections, accepted for publication in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)80004-7

The natural su(N) generalization of the XX model is introduced and analyzed. It is defined in terms of the characterizing properties of the usual XX model: the existence of two infinite sequences of mutually commuting conservation laws and the existence of two infinite sequences of mastersymmetries. The integrability of these models, which cannot be obtained in a degenerate limit of the su(N)-XXZ model, is established in two ways: by exhibiting their R matrix and from a direct construction of the commuting conservation laws. We then diagonalize the conserved laws by the method of the algebraic Bethe Ansatz. The resulting spectrum is trivial in a certain sense; this provides another indication that the su(N) XX model is the natural generalization of the su(2) model. The application of these models to the construction of an integrable ladder, that is, an su(N) version of the Hubbard model, is mentioned.

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