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Chiral projected entangled-pair state with topological order

Tue, 2015-05-26 20:33 - Gemma De las Cuevas
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Date: 
2014-12-03
Author(s): 

Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu, Norbert Schuch, and J. Ignacio Cirac

Reference: 

Phys. Rev. Lett. 114, 106803 (2015)

URL: 

http://dx.doi.org/10.1103/PhysRevLett.114.106803

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.