Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors

Tiwari, Apoorv; Li, Ming-Hao; Bernevig, B.  A.; Neupert, Titus; Parameswaran, S.  A.

doi:10.1103/physrevlett.124.046801

Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors

Journal Article · Sun Jan 26 23:00:00 EST 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.124.046801· OSTI ID:1802877

^[1]; Li, Ming-Hao ^[2]; Bernevig, B. A. ^[3]; ^[4]; ^[5]

Univ. of Zurich (Switzerland); Paul Scherrer Inst. (PSI), Villigen (Switzerland); OSTI
Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland)
Princeton Univ., NJ (United States)
Univ. of Zurich (Switzerland)
Univ. of Oxford (United Kingdom)

Here, we show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preserving the protecting C$$_{2n}\mathcal{T}$$ symmetry upon the introduction of non-Abelian surface topological order. In both cases, the topological order on a single side surface breaks time-reversal symmetry, but appears with its time-reversal conjugate on alternating sides in a C$$_{2n}\mathcal{T}$$ preserving pattern. In the absence of the HOTI/HOTSC bulk, such a pattern necessarily involves gapless chiral modes on hinges between C$$_{2n}\mathcal{T}$$-conjugate domains. However, using a combination of K -matrix and anyon condensation arguments, we show that on the boundary of a 3D HOTI/HOTSC these topological orders are fully gapped and hence “anomalous.” Our results suggest that new patterns of surface and hinge states can be engineered by selectively introducing topological order only on specific surfaces.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC); European Research Council (ERC); European Union Horizon 2020 Research and Innovation Programme; Packard Foundation; Schmidt Fund for Innovative Research; National Science Foundation (NSF)

Grant/Contract Number:: SC0016239

OSTI ID:: 1802877

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 124; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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