Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines

Y. H. Chan, Berkay Kilic, Moritz M. Hirschmann, Ching Kai Chiu, Leslie M. Schoop, Darshan G. Joshi, Andreas P. Schnyder

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


Nonsymmorphic symmetries, such as screw rotations or glide reflections, can enforce band crossings within high-symmetry lines or planes of the Brillouin zone. When these band degeneracies are close to the Fermi energy, they can give rise to a number of unusual phenomena, e.g., anomalous magnetoelectric responses, transverse Hall currents, and exotic surface states. In this paper, we present a comprehensive classification of such nonsymmorphic band crossings in trigonal materials with strong spin-orbit coupling. We find that in trigonal systems there are two different types of nonsymmorphic band degeneracies: (i) Weyl points protected by screw rotations with an accordion-like dispersion, and (ii) Weyl nodal lines protected by glide reflections. We report a number of existing materials, where these band crossings are realized near the Fermi energy. This includes Cu2SrSnS4 and elemental tellurium (Te), which exhibit accordion Weyl points, and the tellurium-silicon clathrate Te16Si38, which shows Weyl nodal lines. The ab initio band structures and surface states of these materials are studied in detail, and implications for experiments are briefly discussed.

Original languageEnglish (US)
Article number124204
JournalPhysical Review Materials
Issue number12
StatePublished - Dec 23 2019

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Physics and Astronomy (miscellaneous)


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