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...
Main Authors: | , |
---|---|
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 |
_version_ | 1797210974515625984 |
---|---|
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. |
first_indexed | 2024-04-24T10:19:07Z |
format | Article |
id | doaj.art-1656e21737d846f9912f25f83b358fd3 |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:19:07Z |
publishDate | 2021-07-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
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 |