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SU(3)1 Chiral Spin Liquid on the Square Lattice: A View from Symmetric Projected Entangled Pair States

Ji-Yao Chen, Sylvain Capponi, Alexander Wietek, Matthieu Mambrini, Norbert Schuch, and Didier Poilblanc
Phys. Rev. Lett. 125, 017201 – Published 29 June 2020
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Abstract

Quantum spin liquids can be faithfully represented and efficiently characterized within the framework of projected entangled pair states (PEPS). Guided by extensive exact diagonalization and density matrix renormalization group calculations, we construct an optimized symmetric PEPS for a SU(3)1 chiral spin liquid on the square lattice. Characteristic features are revealed by the entanglement spectrum (ES) on an infinitely long cylinder. In all three Z3 sectors, the level counting of the linear dispersing modes is in full agreement with SU(3)1 Wess-Zumino-Witten conformal field theory prediction. Special features in the ES are shown to be in correspondence with bulk anyonic correlations, indicating a fine structure in the holographic bulk-edge correspondence. Possible universal properties of topological SU(N)k chiral PEPS are discussed.

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  • Received 21 January 2020
  • Accepted 27 May 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.017201

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Ji-Yao Chen1,2, Sylvain Capponi3, Alexander Wietek4, Matthieu Mambrini3, Norbert Schuch1,2, and Didier Poilblanc3

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
  • 2Munich Center for Quantum Science and Technology, Schellingstraße 4, 80799 München, Germany
  • 3Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
  • 4Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York 10010, New York, USA

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Issue

Vol. 125, Iss. 1 — 3 July 2020

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