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Evolutionary Genomics Group Department of Computational Molecular Biology |
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Title: Temperley-Lieb words as valence-bond ground states Authors: Peter F Arndt, Thomas Heinzel, C M Yung Abstract: 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 present 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. Reference: Journal of Physics A: Mathematical and Theoretical 28 (1995) L323--L329 Links: [Journal] [Fulltext (pdf)] |