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arXiv · 1411.6618

Chiral projected entangled-pair state with topological order

Shuo Yang·Thorsten B. Wahl·Hong-Hao Tu·Norbert Schuch·J. Ignacio Cirac
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Abstract

We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases. For that, we construct a simple PEPS for spin-1/2 particles in a two-dimensional lattice. We reveal a symmetry in the local projector of the PEPS that gives rise to the global topological character. We also extract characteristic quantities of the edge conformal field theory using the bulk-boundary correspondence.

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Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu, Norbert Schuch, J. Ignacio Cirac. 2014-11-24. Chiral projected entangled-pair state with topological order. https://doi.org/10.1103/physrevlett.114.106803

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