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Journal Article

Stable Dirac semimetal in the allotropes of group-IV elements


Rubio,  Angel
Center for Free-Electron Laser Science, Luruper Chaussee 149, 22761 Hamburg, Germany;
Nano-Bio Spectroscopy group, Dpto. Física de Materiales, Universidad del País Vasco, Centro de Física de Materiales CSIC-UPV/EHU-MPC and DIPC, Av. Tolosa 72, E-20018 San Sebastián, Spain;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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Cao, W., Tang, P., Zhang, S.-C., Duan, W., & Rubio, A. (2016). Stable Dirac semimetal in the allotropes of group-IV elements. Physical Review B, 93(24): 241117(R). doi:10.1103/PhysRevB.93.241117.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-6CD6-E
Three-dimensional topological Dirac semimetals represent a novel state of quantum matter with exotic electronic properties, in which a pair of Dirac points with a linear dispersion along all momentum directions exists in the bulk. Herein, by using first-principles calculations, we discover the metastable allotropes of Ge and Sn in the staggered layered dumbbell structure, named germancite and stancite, to be Dirac semimetals with a pair of Dirac points on their rotation axis. On the surface parallel to the rotation axis, a pair of topologically nontrivial Fermi arcs are observed and a Lifshitz transition is found by tuning the Fermi level. Furthermore, the quantum thin film of germancite is found to be an intrinsic quantum spin Hall insulator. These discoveries suggest novel physical properties and future applications of the metastable allotrope of Ge and Sn.