Topological and symmetry-enriched random quantum critical points

Aug 5, 2020
6 pages
Published in:
  • Phys.Rev.B 103 (2021) 10, L100207
  • Published: Mar 31, 2021
e-Print:
DOI:

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Abstract: (APS)
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.
Note:
  • 4+epsilon pages+supp mat, 2 figures. v2: New discussion of Floquet systems. A new co-author has been added
  • Inhomogeneous, disordered, and partially ordered systems