Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca_3PbO and its Family

Abstract

The band structure of cubic inverse perovskites, Ca_3PbO and its family, are investigated with the first-principles method. A close observation of the band structure reveals that six equivalent Dirac electrons with a very small mass exist on the line connecting the Gamma- and X-points, and at the symmetrically equivalent points in the Brillouin zone. The discovered Dirac electrons are three-dimensional and remarkably located exactly at the Fermi energy. A tight-binding model describing the low-energy band structure is also constructed and used to discuss the origin of the Dirac electrons in this material. Materials related to Ca_3PbO are also studied, and some design principles for the Dirac electrons in this series of materials are proposed.

4.2 pages, refined version

References in corpus (4)

• Topological Insulators
• Valley filter and valley valve in graphene
• Graphene valley filter using a line defect
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth

Cited by in corpus (46)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Classification of topological quantum matter with symmetries
• Colloquium: Topological Band Theory
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• Superconductivity in the antiperovskite Dirac-metal oxide Sr${}_3$SnO
• Anisotropic Dirac electronic structures of AMnBi${}_2$ (A=Sr, Ca)
• Thermoelectric Properties of Antiperovskite Calcium Oxides Ca3PbO and Ca3SnO
• Low-Energy Effective Hamiltonian and the Surface States of Ca_3PbO
• Type-II Dirac surface states in topological crystalline insulators
• Robust weak antilocalization due to spin-orbital entanglement in Dirac material Sr${}_3$SnO
• Dynamics of electric transport in interacting Weyl semimetals
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Controlled synthesis of the antiperovskite oxide superconductor Sr${}_{3-x}$SnO
• Higher-order topological insulators in antiperovskites
• Survey of the class of isovalent antiperovskite alkaline earth-pnictide compounds
• Comparative first-principles study of antiperovskite oxides and nitrides as thermoelectric material: multiple Dirac cones, low-dimensional band dispersion, and high valley degeneracy
• Magnetotransport in Sr3PbO antiperovskite with three-dimensional massive Dirac electrons
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Giant orbital diamagnetism of three-dimensional Dirac electrons in Sr${}_3$PbO antiperovskite
• Unusual Valence State in the Antiperovskites Sr${}_3$SnO and Sr${}_3$PbO Revealed by X-ray Photoelectron Spectroscopy
• Observation of inverted band structure in topological Dirac-semimetal candidate CaAuAs
• Growth of Antiperovskite Oxide Ca3SnO Films by Pulsed Laser Deposition
• Planar Hall effect with sixfold oscillations in a Dirac antiperovskite
• Spin-Polarization in Magneto-Optical Conductivity of Dirac Electrons
• Magnetoresistance of a three-dimensional Dirac gas
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Classification of crystalline topological semimetals with an application to Na${}_3$Bi
• Composite Dirac Semimetal
• Negative ionic states of tin in the oxide superconductor Sr${}_{3-x}$SnO revealed by Mössbauer spectroscopy
• Evolution of Band Topology by Competing Band Overlap and Spin-Orbit Coupling: Twin Dirac Cones in Ba${}_3$SnO as a Prototype
• Crystalline spin-orbit interaction and the Zeeman splitting in Pb${}_{1-x}$Sn${}_x$Te
• Computational search for Dirac and Weyl nodes in $f$-electon antiperovskites
• Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
• Nuclear Spin Relaxation Time due to the Orbital Currents in Dirac Electron Systems
• Normal-state properties of the antiperovskite oxide Sr${}_{3-x}$SnO revealed by ${}^{119}$Sn-NMR
• Nonlocal electrodynamics in Weyl semi-metals
• Meissner Effect of Dirac Electrons in Superconducting State due to Inter-band Effect
• Weyl nodes and magnetostructural instability in antiperovskite Mn${}_3$ZnC
• Analysis of Dirac Point in the Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Electric Multipoles of Double Majorana Kramers Pairs
• Triplet superconductivity in 3D Dirac semimetal due to exchange interaction
• Perspective: Molecular beam epitaxy of antiperovskite oxides
• Penetration depth and gap structure in the antiperovskite oxide superconductor Sr${}_{3-x}$SnO revealed by $\mu$SR
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Majorana Spin Current Generation by Dynamic Strain
• Chiral universality class of the normal-superconducting and the exciton condensation transition on the surface of topological insulator