Print Email Facebook Twitter Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors Title Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors Author Geier, Max (Freie Universität Berlin; University of Copenhagen) Fulga, Ion Cosma (IFW Dresden) Lau, A. (TU Delft QN/Akhmerov Group; IFW Dresden; Kavli institute of nanoscience Delft; Polish Academy of Sciences) Date 2021 Abstract We study a link between the ground-state topology and the topology of the lattice via the presence of anomalous states at disclinations – topological lattice defects that violate a rotation symmetry only locally. We first show the existence of anomalous disclination states, such as Majorana zero-modes or helical electronic states, in second-order topological phases by means of Volterra processes. Using the framework of topological crystals to construct d-dimensional crystalline topological phases with rotation and translation symmetry, we then identify all contributions to (d − 2)-dimensional anomalous disclination states from weak and first-order topological phases. We perform this procedure for all Cartan symmetry classes of topological insulators and superconductors in two and three dimensions and determine whether the correspondence between bulk topology, boundary signatures, and disclination anomaly is unique. To reference this document use: http://resolver.tudelft.nl/uuid:bcf9c1c3-a510-4a42-927f-24a983b2e8ec DOI https://doi.org/10.21468/SciPostPhys.10.4.092 ISSN 2542-4653 Source SciPost Physics, 10 (4) Part of collection Institutional Repository Document type journal article Rights © 2021 Max Geier, Ion Cosma Fulga, A. Lau Files PDF SciPostPhys_10_4_092.pdf 4.92 MB Close viewer /islandora/object/uuid:bcf9c1c3-a510-4a42-927f-24a983b2e8ec/datastream/OBJ/view