Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/131408
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | The Fermi gerbe of Weyl semimetals |
Author: | Carey, A. Thiang, G.C. |
Citation: | Letters in Mathematical Physics, 2021; 111(3):72-1-72-16 |
Publisher: | Springer Nature |
Issue Date: | 2021 |
ISSN: | 0377-9017 1573-0530 |
Statement of Responsibility: | Alan Carey, Guo Chuan Thiang |
Abstract: | In the gap topology, the unbounded self-adjoint Fredholm operators on a Hilbert space have third homotopy group the integers. We realise the generator explicitly, using a family of Dirac operators on the half-line, which arises naturally in Weyl semimetals in solid-state physics. A “Fermi gerbe” geometrically encodes how discrete spectral data of the family interpolate between essential spectral gaps. Its non-vanishing Dixmier–Douady invariant protects the integrity of the interpolation, thereby providing topological protection of the Weyl semimetal’s Fermi surface. |
Keywords: | Gerbes; spectral flow; topological semimetals |
Rights: | © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
DOI: | 10.1007/s11005-021-01414-0 |
Grant ID: | http://purl.org/au-research/grants/arc/DP200100729 |
Published version: | http://dx.doi.org/10.1007/s11005-021-01414-0 |
Appears in Collections: | Aurora harvest 4 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.