2020/06/30 by Bitan Roy, Vladimir Juričić, Vladimir Juricic
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Burgers vector #Condensed matter physics #Dislocation #Gapless playback #Graphene research and applications #Lattice (music) #Materials science #Mathematics #Physics #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevresearch.3.033107
published as Phys. Rev. Research 3, 033107 (2021) · Published version: 17 Pages, 6 Figures & 3 Tables
openalex publication_date 2021/07/30 · arxiv created 2021/08/04 · arxiv updated 2021/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.