Edge Theories in Projected Entangled Pair State Models

S. Yang, L. Lehman, D. Poilblanc, K. Van Acoleyen, F. Verstraete, J. I. Cirac, and N. Schuch
Phys. Rev. Lett. 112, 036402 – Published 23 January 2014
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Abstract

We analyze the low energy excitations of spin lattice systems in two dimensions at zero temperature within the framework of projected entangled pair state models. Perturbations in the bulk give rise to physical excitations located at the edge. We identify the corresponding degrees of freedom, give a procedure to derive the edge Hamiltonian, and illustrate that it can exhibit a rich phase diagram. For topological models, the edge Hamiltonian is constrained by the topological order in the bulk, which gives rise to one-dimensional edge models with unconventional properties; for instance, a topologically ordered bulk can protect a ferromagnetic Ising chain at the edge against spontaneous symmetry breaking.

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  • Received 24 September 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.036402

© 2014 American Physical Society

Authors & Affiliations

S. Yang1, L. Lehman2, D. Poilblanc3, K. Van Acoleyen4, F. Verstraete4,5, J. I. Cirac1, and N. Schuch2

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany
  • 2Institut für Quanteninformation, RWTH Aachen University, D-52056 Aachen, Germany
  • 3Laboratoire de Physique Théorique, C.N.R.S. and Université de Toulouse, F-31062 Toulouse, France
  • 4Department of Physics and Astronomy, Ghent University, Krijgslaan 281, S9, 9000 Gent, Belgium
  • 5Vienna Center for Quantum Science and Technology, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

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Issue

Vol. 112, Iss. 3 — 24 January 2014

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