Chiral Projected Entangled-Pair State with Topological Order

2014/11/24 by Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu +3 · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.114.106803

published as Phys. Rev. Lett. 114, 106803 (2015) · 11 pages, 7 figures

arxiv created 2014/11/24 · openalex publication_date 2015/03/10 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices
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Cited by

• Ising anyons in frustration-free Majorana-dimer models