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Topological phase transitions of non-Abelian charged nodal lines in spring-mass systems

Park, Haedong, Wong, Stephan, Bouhan, Adrien, Slager, Robert-Jan and Oh, Sang Soon 2022. Topological phase transitions of non-Abelian charged nodal lines in spring-mass systems. Physical Review B (Condensed Matter) 105 (21) , 214108. 10.1103/PhysRevB.105.214108

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Abstract

Although a large class of topological materials have uniformly been identified using symmetry properties of wave functions, the past two years have seen the rise of multi-gap topologies beyond this paradigm. Given recent reports of unexplored features of such phases, platforms that are readily implementable to realize them are therefore desirable. Here, we demonstrate that multi-gap topological phase transitions of non-Abelian charged nodal lines arise in classical phonon waves. By adopting a simple spring-mass system, we construct nodal lines of a three-band system. The braiding process of the nodal lines is readily performed by adjusting the spring constants. The generation and annihilation of the nodal lines are then analyzed using Euler class. Finally, we retrieve topological transitions from trivial nodal lines to a nodal link. Our work provides a simple platform that can offer diverse insights to not only theoretical but also experimental studies on multi-gap topology.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QC Physics
Publisher: American Physical Society
ISSN: 0163-1829
Funders: European Regional Development Fund, Marie Sklodowska-Curie fellowship, EPSRC
Date of First Compliant Deposit: 23 June 2022
Date of Acceptance: 3 June 2022
Last Modified: 27 Jun 2022 10:57
URI: https://orca.cardiff.ac.uk/id/eprint/150208

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