Dislocation as a bulk probe of higher-order topological insulators

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk. Higher-order topological (HOT) states extend this usual bulk...

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Main Authors: Bitan Roy, Vladimir Juričić
Format: Article
Language:English
Published: American Physical Society 2021-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.033107
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author Bitan Roy
Vladimir Juričić
author_facet Bitan Roy
Vladimir Juričić
author_sort Bitan Roy
collection DOAJ
description Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk. Higher-order topological (HOT) states extend this usual bulk-boundary correspondence, so they host the modes localized at lower-dimensional boundaries, such as corners and hinges. Here we theoretically demonstrate that dislocations, ubiquitous defects in crystalline materials, can probe higher-order topology, recently realized in various platforms. We uncover that HOT insulators respond to dislocations through symmetry protected finite-energy in-gap electronic modes, localized at the defect core, which originate from an interplay between the orientation of the HOT mass domain wall and the Burgers vector of the dislocation. As such, these modes become gapless only when the Burgers vector points toward lower-dimensional gapless boundaries. Our findings are consequential for the systematic probing of the extended bulk-boundary correspondence in a broad range of HOT crystals and photonic and phononic or mechanical metamaterials through the bulk topological lattice defects.
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spelling doaj.art-1656e21737d846f9912f25f83b358fd32024-04-12T17:12:27ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-013303310710.1103/PhysRevResearch.3.033107Dislocation as a bulk probe of higher-order topological insulatorsBitan RoyVladimir JuričićTopological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk. Higher-order topological (HOT) states extend this usual bulk-boundary correspondence, so they host the modes localized at lower-dimensional boundaries, such as corners and hinges. Here we theoretically demonstrate that dislocations, ubiquitous defects in crystalline materials, can probe higher-order topology, recently realized in various platforms. We uncover that HOT insulators respond to dislocations through symmetry protected finite-energy in-gap electronic modes, localized at the defect core, which originate from an interplay between the orientation of the HOT mass domain wall and the Burgers vector of the dislocation. As such, these modes become gapless only when the Burgers vector points toward lower-dimensional gapless boundaries. Our findings are consequential for the systematic probing of the extended bulk-boundary correspondence in a broad range of HOT crystals and photonic and phononic or mechanical metamaterials through the bulk topological lattice defects.http://doi.org/10.1103/PhysRevResearch.3.033107
spellingShingle Bitan Roy
Vladimir Juričić
Dislocation as a bulk probe of higher-order topological insulators
Physical Review Research
title Dislocation as a bulk probe of higher-order topological insulators
title_full Dislocation as a bulk probe of higher-order topological insulators
title_fullStr Dislocation as a bulk probe of higher-order topological insulators
title_full_unstemmed Dislocation as a bulk probe of higher-order topological insulators
title_short Dislocation as a bulk probe of higher-order topological insulators
title_sort dislocation as a bulk probe of higher order topological insulators
url http://doi.org/10.1103/PhysRevResearch.3.033107
work_keys_str_mv AT bitanroy dislocationasabulkprobeofhigherordertopologicalinsulators
AT vladimirjuricic dislocationasabulkprobeofhigherordertopologicalinsulators