Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors

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Standard

Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors. / Geier, Max; Fulga, Ion Cosma; Lau, Alexander.

I: SciPost Physics, Bind 10, Nr. 4, 092, 26.04.2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Geier, M, Fulga, IC & Lau, A 2021, 'Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors', SciPost Physics, bind 10, nr. 4, 092. https://doi.org/10.21468/SciPostPhys.10.4.092

APA

Geier, M., Fulga, I. C., & Lau, A. (2021). Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors. SciPost Physics, 10(4), [092]. https://doi.org/10.21468/SciPostPhys.10.4.092

Vancouver

Geier M, Fulga IC, Lau A. Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors. SciPost Physics. 2021 apr. 26;10(4). 092. https://doi.org/10.21468/SciPostPhys.10.4.092

Author

Geier, Max ; Fulga, Ion Cosma ; Lau, Alexander. / Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors. I: SciPost Physics. 2021 ; Bind 10, Nr. 4.

Bibtex

@article{75a508daec4d4161aad014ce1d6162cc,
title = "Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors",
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.",
author = "Max Geier and Fulga, {Ion Cosma} and Alexander Lau",
year = "2021",
month = apr,
day = "26",
doi = "10.21468/SciPostPhys.10.4.092",
language = "English",
volume = "10",
journal = "SciPost Physics",
issn = "2542-4653",
publisher = "SCIPOST FOUNDATION",
number = "4",

}

RIS

TY - JOUR

T1 - Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors

AU - Geier, Max

AU - Fulga, Ion Cosma

AU - Lau, Alexander

PY - 2021/4/26

Y1 - 2021/4/26

N2 - 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.

AB - 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.

U2 - 10.21468/SciPostPhys.10.4.092

DO - 10.21468/SciPostPhys.10.4.092

M3 - Journal article

VL - 10

JO - SciPost Physics

JF - SciPost Physics

SN - 2542-4653

IS - 4

M1 - 092

ER -

ID: 276950111