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

Abstract

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 an effective model representing the Dirac nodal line using the {\bf k}$\cdot${\bf p} method, and discuss the Berry phase and a surface state expected from the Dirac nodal line.

arXiv comment6 pages, 8 figures

References in corpus (16)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Topological Insulators in Three Dimensions
• Topological Crystalline Insulators
• Topological Crystalline Insulators in the SnTe Material Class
• Experimental realization of a topological crystalline insulator in SnTe
• Dirac Line Nodes in Inversion Symmetric Crystals
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Discovery of two-dimensional Dirac nodal line fermions in monolayer Cu2Si
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Symmetry Demanded Topological Nodal-line Materials
• Topological Dirac Nodal Lines and Surface Charges in fcc Alkaline Earth Metals
• Rock-salt SnS and SnSe: Native Topological Crystalline Insulators
• CaTe: a new topological node-line and Dirac semimetal
• Anomalous metallic state above the upper critical field of the conventional three-dimensional superconductor AgSnSe2 with strong intrinsic disorder
• Bi Substitution Effects on Superconductivity of Valence-Skip superconductor AgSnSe2

Cited by in corpus (6)

• Topological carbon materials: a new perspective
• Role of Velocity Field and Principal Axis of Tilted Dirac Cones in Effective Hamlitonan of Non-Coplanar Nodal Loop
• Superconducting ground state study of valence skip compound AgSnSe${}_2$
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Mapping rules from nodal line semimetal to topological crystalline insulator in face centered cubic lattice
• Nodal-line semimetal superlattices