Exactly solvable models of spin liquids with spinons, and of three-dimensional topological paramagnets

Daniel Ben-Zion, Diptarka Das, and John McGreevy
Phys. Rev. B 93, 155147 – Published 25 April 2016

Abstract

We develop a scheme to make exactly solvable gauge theories whose electric flux lines host (1+1)-dimensional topological phases. We use this exact “decorated-string-net” framework to construct several classes of interesting models. In particular, we construct an exactly solvable model of a quantum spin liquid whose (gapped) elementary excitations form doublets under an internal symmetry, and hence may be regarded as spin-carrying spinons. The model may be formulated, and is solvable, in any number of dimensions on any bipartite graph. Another example, in any dimension, has Z2 topological order and anyons which are Kramers' doublets of time-reversal symmetry. Further, we make exactly solvable models of three-dimensional topological paramagnets.

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  • Received 27 January 2016
  • Revised 18 March 2016

DOI:https://doi.org/10.1103/PhysRevB.93.155147

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Daniel Ben-Zion, Diptarka Das, and John McGreevy

  • Department of Physics, University of California at San Diego, La Jolla, California 92093, USA

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Issue

Vol. 93, Iss. 15 — 15 April 2016

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