简介: |
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I will give an account of a class of quantum lattice spin models with topological order based on Hopf algebras. These models are built following Kitaev's lattice implementation of the quantum double construction. The algebraic language reveals a very simple structure in the tensor network structure of ground states. A hierarchy of states obtained by symmetry breaking is discussed.
References:
【1】A. Yu. Kitaev, Fault-tolerant quantum computation by anyons, Annals Phys. 303, 2--30 (2003), preprint arXiv:quant-ph/9707021.
【2】O. Buerschaper, J. M. Mombelli, M. Christandl and M. Aguado, A hierarchy of topological tensor network states, preprint arXiv:1007.5283 [cond-mat.str-el]. |
