Four State Models and Clifford Algebras

Details Four State Models and Clifford Algebras Four State Models and Clifford Algebras

1994-04-13

arxiv.org/abs/cond-mat/9404034v3

J. Phys. A: Math. Gen 27 (1994) 5393

Physics

Condensed Matter

16 pages + 2 uuencoded postscript figures, LaTeX

Scientific paper

10.1088/0305-4470/27/16/008

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.

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