Temperley–Lieb Words as Valence-Bond Ground States
نویسندگان
چکیده
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 spin2 representation of the algebra we obtain a generalization of the (q-deformed) Majumdar– Ghosh model. The ground states become valence-bond states. BONN HE-94-26 cond-mat/9411085 November 1994
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