TY - JOUR
T1 - Symmetry-enforced band crossings in trigonal materials
T2 - Accordion states and Weyl nodal lines
AU - Chan, Y. H.
AU - Kilic, Berkay
AU - Hirschmann, Moritz M.
AU - Chiu, Ching Kai
AU - Schoop, Leslie M.
AU - Joshi, Darshan G.
AU - Schnyder, Andreas P.
N1 - Funding Information:
The authors thank C. Ast, K. von Klitzing, A. Topp, M. G. Vergniory, and A. Yaresko for useful discussions. B.K. thanks the Max Planck Institute for Solid State Research in Stuttgart for financial support. This research was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958. C.-K.C. is supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB28000000). Work at Princeton was supported by NSF through the Princeton Center for Complex Materials, a Materials Research Science and Engineering Center, Grant No. DMR-1420541. APPENDIX A:
PY - 2019/12/23
Y1 - 2019/12/23
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevMaterials.3.124204
DO - 10.1103/PhysRevMaterials.3.124204
M3 - Article
AN - SCOPUS:85077371152
SN - 2475-9953
VL - 3
JO - Physical Review Materials
JF - Physical Review Materials
IS - 12
M1 - 124204
ER -