publication . Article . Preprint . 2018

Face centered cubic SnSe as a $\mathbb{Z}_2$ trivial Dirac nodal line material

Ikuma Tateishi; Hiroyasu Matsuura;
Open Access
  • Published: 15 Jul 2018 Journal: Journal of the Physical Society of Japan, volume 87, page 73,702 (issn: 0031-9015, eissn: 1347-4073, Copyright policy)
  • Publisher: Physical Society of Japan
The presence of a Dirac nodal line in a time-reversal and inversion symmetric system is dictated by the $\mathbb{Z}_2$ index when spin-orbit interaction is absent. In a first principles calculation, we show that a Dirac nodal line can emerge in $\mathbb{Z}_2$ trivial material by calculating the band structure of SnSe in a face centered cubic lattice as an example. We qualitatively show that it becomes a topological crystalline insulator when spin-orbit interaction is taken into account. We clarify the origin of the Dirac nodal line by obtaining irreducible representations corresponding to bands and explain the triviality of the $\mathbb{Z}_2$ index. We construct...
free text keywords: General Physics and Astronomy, Condensed Matter - Mesoscale and Nanoscale Physics, NODAL, Triviality, Cubic crystal system, Mathematical physics, Dirac (video compression format), Crystal, Geometric phase, Irreducible representation, Physics, Electronic band structure
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