Temperley-Lieb Words as Valence-Bond Ground States
Condensed Matter
2010-04-08 v1 High Energy Physics - Theory
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 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.
Keywords
Cite
@article{arxiv.cond-mat/9411085,
title = {Temperley-Lieb Words as Valence-Bond Ground States},
author = {Peter F Arndt and Thomas Heinzel and C M Yung},
journal= {arXiv preprint arXiv:cond-mat/9411085},
year = {2010}
}
Comments
9 Pages, LaTeX (with included style files)