Topological and symmetry-enriched random quantum critical points

• URL: http://arxiv.org/abs/2008.02285v2
• Date: Fri, 18 Dec 2020 15:21:09 GMT
• Title: Topological and symmetry-enriched random quantum critical points
• Authors: Carlos M. Duque, Hong-Ye Hu, Yi-Zhuang You, Vedika Khemani, Ruben Verresen and Romain Vasseur
• Abstract summary: We study how symmetry can enrich strong-randomness quantum critical points and phases. These are the disordered analogues of gapless topological phases. We uncover a new class of symmetry-enriched infinite randomness fixed points.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 analogues 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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