Header

UZH-Logo

Maintenance Infos

Beyond the Tenfold Way: Non-Abelian Topology in Noninteracting Metals


Wu, QuanSheng; Soluyanov, Alexey; Bzdusek, Tomas (2018). Beyond the Tenfold Way: Non-Abelian Topology in Noninteracting Metals. arXiv 1808.07469, University of Zurich.

Abstract

We introduce non-Abelian topological charges for nodal-line band degeneracies in momentum space of PT-symmetric crystalline metals with weak spin-orbit coupling. We show that these are quaternion charges, similar to those describing vortices in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries. This theory allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal line compositions and the possibility to annihilate them. Our arguments are illustrated with k⋅p models as well as with real materials. Our analysis goes beyond the "tenfold way" approach to band topology, and implies the existence of 1D topological phases not present in the "tenfold way" classifications.

Abstract

We introduce non-Abelian topological charges for nodal-line band degeneracies in momentum space of PT-symmetric crystalline metals with weak spin-orbit coupling. We show that these are quaternion charges, similar to those describing vortices in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries. This theory allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal line compositions and the possibility to annihilate them. Our arguments are illustrated with k⋅p models as well as with real materials. Our analysis goes beyond the "tenfold way" approach to band topology, and implies the existence of 1D topological phases not present in the "tenfold way" classifications.

Statistics

Downloads

29 downloads since deposited on 25 Jan 2019
26 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Working Paper
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:21 August 2018
Deposited On:25 Jan 2019 13:02
Last Modified:25 Sep 2019 00:07
Series Name:arXiv
ISSN:2331-8422
OA Status:Green
Free access at:Official URL. An embargo period may apply.
Official URL:https://arxiv.org/pdf/1808.07469.pdf

Download

Green Open Access

Download PDF  'Beyond the Tenfold Way: Non-Abelian Topology in Noninteracting Metals'.
Preview
Content: Accepted Version
Filetype: PDF
Size: 19MB