Ground-state degeneracy of non-Abelian topological phases from coupled wires

Thomas Iadecola, Titus Neupert, Claudio Chamon, and Christopher Mudry
Phys. Rev. B 99, 245138 – Published 20 June 2019

Abstract

We construct a family of two-dimensional non-Abelian topological phases from coupled wires using a non-Abelian bosonization approach. We then demonstrate how to determine the nature of the non-Abelian topological order (in particular, the anyonic excitations and the topological degeneracy on the torus) realized in the resulting gapped phases of matter. This paper focuses on the detailed case study of a coupled-wire realization of the bosonic su(2)2 Moore-Read state, but the approach we outline here can be extended to general bosonic su(2)k topological phases described by non-Abelian Chern-Simons theories. We also discuss possible generalizations of this approach to the construction of three-dimensional non-Abelian topological phases.

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  • Received 30 March 2017
  • Revised 24 April 2019

DOI:https://doi.org/10.1103/PhysRevB.99.245138

©2019 American Physical Society

Physics Subject Headings (PhySH)

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

Authors & Affiliations

Thomas Iadecola1,2,3, Titus Neupert4, Claudio Chamon1, and Christopher Mudry5

  • 1Physics Department, Boston University, Boston, Massachusetts 02215, USA
  • 2Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
  • 3Joint Quantum Institute and Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 4Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
  • 5Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland

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Issue

Vol. 99, Iss. 24 — 15 June 2019

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