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Four State Models and Clifford Algebras | Haye Hinrichsen
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13 Apr 1994 | Journal: | J. Phys. A: Math. Gen 27 (1994) 5393 | Subject: | Condensed Matter; Exactly Solvable and Integrable Systems | cond-mat hep-th nlin.SI solv-int | Abstract: | With appropriate boundary conditions the anisotropic $XY$ chain in a magnetic field is known to be invariant under quantum group transformations. We generalize this model defining a class of integrable chains with several fermionic degrees of freedom per site. In order to maintain the quantum group symmetry a general condition on the parameters of these systems is derived. It is shown that the corresponding quantum algebra is a multi-parameter deformation of the Clifford algebra. Discussing a special physical example we observe a new type of zero modes. | Source: | arXiv, cond-mat/9404034 | Services: | Forum | Review | PDF | Favorites |
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