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  • Letter

Topological and symmetry-enriched random quantum critical points

Carlos M. Duque1,*, Hong-Ye Hu2,*, Yi-Zhuang You2, Vedika Khemani3, Ruben Verresen4, and Romain Vasseur1

  • 1Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • 2Department of Physics, University of California, San Diego, California 92093, USA
  • 3Department of Physics, Stanford University, Stanford, California 94305, USA
  • 4Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

  • *These authors contributed equally to this work.
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Phys. Rev. B 103, L100207 – Published 30 March, 2021

DOI: https://doi.org/10.1103/PhysRevB.103.L100207

Abstract

We study how symmetry can enrich strong-randomness quantum critical points and phases, and lead to robust topological edge modes coexisting with critical bulk fluctuations. These are the disordered analogs of gapless topological phases. Using real-space and density matrix renormalization group approaches, we analyze the boundary and bulk critical behavior of such symmetry-enriched random quantum spin chains. We uncover a new class of symmetry-enriched infinite randomness fixed points: while local bulk properties are indistinguishable from conventional random singlet phases, nonlocal observables, and boundary critical behavior are controlled by a different renormalization group fixed point. We also illustrate how such new quantum critical points emerge naturally in Floquet systems.

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Phys. Rev. B 103, L100207– Published 30 March, 2021
  • Received 18 August 2020
  • Revised 18 December 2020
  • Accepted 12 March 2021
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