Temperley-Lieb Words as Valence-Bond Ground States

Details Temperley-Lieb Words as Valence-Bond Ground States Temperley-Lieb Words as Valence-Bond Ground States

1994-11-21

arxiv.org/abs/cond-mat/9411085v1

J.Phys.A28:L323-L330,1995

Physics

Condensed Matter

9 Pages, LaTeX (with included style files)

Scientific paper

10.1088/0305-4470/28/12/001

Based on the Temperley--Lieb algebra we define a class of one-dimensional Hamiltonians with nearest and next-nearest neighbour interactions. Using the regular representation we give ground states of this model as words of the algebra. Two point correlation functions can be computed employing the Temperley--Lieb relations. Choosing a spin-1/2 representation of the algebra we obtain a generalization of the (q-deformed) Majumdar--Ghosh model. The ground states become valence-bond states.

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