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‘Unhinging’ the surfaces of higher-order topological insulators and superconductors


Tiwari, Apoorv; Li, Ming-Hao; Bernevig, B Andrei; Neupert, Titus; Parameswaran, S A (2019). ‘Unhinging’ the surfaces of higher-order topological insulators and superconductors. arXiv.org 1905.11421, University of Zurich.

Abstract

We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-ordertopological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preservingthe protectingC2nTsymmetry upon the introduction of non-Abelian surface topological order.In both cases, the topological order on a single side surface breaks time reversal symmetry, butappears with its time-reversal conjugate on alternating sides in aC2nTpreserving pattern. In theabsence of the HOTI/HOTSC bulk, such a pattern necessarily involves gapless chiral modes onhinges betweenC2nT-conjugate domains. However, using a combination ofK-matrix and anyoncondensation arguments, we show that on the boundary of a 3D HOTI/HOTSC these topologicalorders are fully gapped and hence ‘anomalous’. Our results suggest that new patterns of surface andhinge states can be engineered by selectively introducing topological order only on specific surfaces.

Abstract

We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-ordertopological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preservingthe protectingC2nTsymmetry upon the introduction of non-Abelian surface topological order.In both cases, the topological order on a single side surface breaks time reversal symmetry, butappears with its time-reversal conjugate on alternating sides in aC2nTpreserving pattern. In theabsence of the HOTI/HOTSC bulk, such a pattern necessarily involves gapless chiral modes onhinges betweenC2nT-conjugate domains. However, using a combination ofK-matrix and anyoncondensation arguments, we show that on the boundary of a 3D HOTI/HOTSC these topologicalorders are fully gapped and hence ‘anomalous’. Our results suggest that new patterns of surface andhinge states can be engineered by selectively introducing topological order only on specific surfaces.

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Additional indexing

Item Type:Working Paper
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2019
Deposited On:07 Jan 2020 11:24
Last Modified:08 Jan 2020 04:16
Series Name:arXiv.org
ISSN:2331-8422
OA Status:Green
Related URLs:https://arxiv.org/abs/1905.11421

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