Classification of Weyl points and nodal lines based on magnetic point groups for spin-12 quasiparticles

Andy Knoll and Carsten Timm
Phys. Rev. B 105, 115109 – Published 7 March 2022

Abstract

Symmetry-protected topological semimetals are at the focus of solid-state research due to their unconventional properties, for example, regarding transport. By investigating local two-band Bloch Hamiltonians in the spin-1/2 basis for the 122 magnetic point groups, we classify twofold-degenerate band touchings such as Weyl points, robust nodal lines on axes and in mirror planes, and fragile nodal lines. We find that all magnetic point groups that lack the product of inversion and time-reversal symmetries can give rise to topologically nontrivial band touchings. Hence, such nodes are the rule rather than the exception and, moreover, do not require any complicated multiband physics. Our classification is applicable to every momentum in the Brillouin zone by considering the corresponding little group and provides a powerful tool to identify magnetic and nonmagnetic topological semimetals.

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  • Received 20 December 2021
  • Accepted 25 February 2022

DOI:https://doi.org/10.1103/PhysRevB.105.115109

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Andy Knoll* and Carsten Timm

  • Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany and Würzburg–Dresden Cluster of Excellence ct.qmat, Technische Universität Dresden, 01062 Dresden, Germany

  • *andy.knoll@tu-dresden.de
  • carsten.timm@tu-dresden.de

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Issue

Vol. 105, Iss. 11 — 15 March 2022

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