# Three-dimensional Dirac semimetals: Design principles and predictions of new materials

@article{Gibson2015ThreedimensionalDS,
title={Three-dimensional Dirac semimetals: Design principles and predictions of new materials},
author={Quinn D. Gibson and Leslie M. Schoop and Lukas Muechler and Lilia S Xie and Maximillian Hirschberger and Nai Phuan Ong and Roberto Car and Robert J. Cava},
journal={Physical Review B},
year={2015},
volume={91},
pages={205128}
}
Design principles and novel predictions of new 3D Dirac semimetals are presented, along with the context of currently known materials. Current materials include those based on a topological to trivial phase transition, such as in TlBiSe$_{2-x}$S$_x$ and Hg$_{1-x}$Cd$_x$Te, Bi$_{1-x}$Sb$_x$, Bi$_{2-x}$In$_x$Se$_3$, and Pb$_{1-x}$Sn$_x$Se. Some more recently revealed materials, Na$_3$Bi and Cd$_3$As$_2$, are 3D Dirac semimetals in their native composition. The different design principles… Expand
152 Citations

#### Figures from this paper

Polymorphic PtBi$_2$ --- candidate for topological superconductivity
PtBi$_2$ is a polymorphic system with interesting electronic properties. Here we report optimized crystal growth and structural characterization of pyrite-type and trigonal modification of PtBi$_2$,Expand
Prediction of Dirac semimetals and hourglass surface states in stacked hydrogenated Xenes ( X=Sn and Pb)
Based on density-functional theory calculations and symmetry analysis, topological Dirac semimetals (DSMs) and exotic hourglass surface states are predicted in stacked hydrogenated stanene andExpand
Potential ring of Dirac nodes in a new polymorph of Ca$_3$P$_2$
• Materials Science, Physics
• 2015
We report the crystal structure of a new polymorph of Ca$_3$P$_2$, and an analysis of its electronic structure. The crystal structure was determined through Rietveld refinements of powder synchrotronExpand
Electrides as a New Platform of Topological Materials
• Materials Science, Physics
• Physical Review X
• 2018
Recent discoveries of topological phases realized in electronic states in solids have revealed an important role of topology, which ubiquitously appears in various materials in nature. ManyExpand
Tunable two-dimensional Dirac nodal nets
• Physics
• Physical Review B
• 2018
Nodal-line semimetals are characterized by symmetry-protected band crossing lines and are expected to exhibit nontrivial electronic properties. Connections of the multiple nodal lines, resulting inExpand
Tunable two-dimensional Dirac nodal nets in non-symmorphic compounds
• Physics
• 2018
Topological nodal-line semimetals are an emergent state of matter expected to exhibit new types of fermionic excitations. In these materials, the symmetry-protected band crossing of the conductionExpand
Large Fermi arc and robust Weyl semimetal phase in Ag2S
• Physics
• Physical Review B
• 2019
Three-dimensional Dirac and Weyl semimetals have attracted widespread interest in condensed matter physics and material science. Here, based on the first-principle calculations and symmetry analysis,Expand
Evidence for s -wave pairing with atomic scale disorder in the van der Waals superconductor NaSn2As2
The recent discovery of superconductivity in NaSn$_2$As$_2$ with a van der Waals layered structure raises immediate questions on its pairing mechanism and underlying electronic structure. Here, weExpand
Enhanced superconductivity by Na doping in SnAs-based layered compound Na1+x Sn2−x As2
Superconducting transition temperature (Tc) reported in SnAs-based layered compound NaSn$_2$As$_2$ varies from 1.2 to 1.6 K, implying that its superconductivity is critically sensitive toExpand
Fragility of Fermi arcs in Dirac semimetals
We use tunable, vacuum ultraviolet laser-based angle-resolved photoemission spectroscopy and density functional theory calculations to study the electronic properties of Dirac semimetal candidateExpand

#### References

SHOWING 1-10 OF 109 REFERENCES
Topological electronic structure and Weyl semimetal in the TlBiSe2class of semiconductors
• Physics
• 2012
We present an analysis of bulk and surface electronic structures of thallium based ternary III-V-VI$_2$ series of compounds TlMQ$_2$, where M=Bi or Sb and Q=S, Se or Te, using the ab initio densityExpand
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
• Physics
• 2011
We investigate novel phases that emerge from the interplay of electron correlations and strong spin-orbit interactions. We focus on describing the topological semimetal, a three-dimensional phase ofExpand
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
Na3Bi is established as a model system for 3D TDSs, which can serve as an ideal platform for the systematic study of quantum phase transitions between rich topological quantum states, and the robustness of 3D Dirac fermions in Na3Bi against in situ surface doping is demonstrated. Expand
Noncentrosymmetric superconductor with a bulk three-dimensional Dirac cone gapped by strong spin-orbit coupling
• Physics
• 2014
The layered, noncentrosymmetric heavy element ${\text{PbTaSe}}_{2}$ is found to be superconducting. We report its electronic properties accompanied by electronic-structure calculations. SpecificExpand
A stable three-dimensional topological Dirac semimetal Cd3As2.
By performing angle-resolved photoemission spectroscopy, a pair of 3D Dirac fermions in Cd3As2 are directly observed, proving that it is a model 3D TDS and by in situ doping it is able to tune its Fermi energy, making it a flexible platform for exploring exotic physical phenomena. Expand
Experimental realization of a three-dimensional Dirac semimetal.
• Physics, Medicine
• Physical review letters
• 2014
The direct observation of the three-dimensional (3D) Dirac semimetal phase in cadmium arsenide by means of angle-resolved photoemission spectroscopy is reported, and it is proved the existence of the long sought 3D Dirac points. Expand
Dirac nodal pockets in the antiferromagnetic parent phase of FeAs superconductors
• Physics
• 2009
We show that previously measured small Fermi-surface pockets within the antiferromagnetic phase of ${\text{SrFe}}_{2}{\text{As}}_{2}$ and ${\text{BaFe}}_{2}{\text{As}}_{2}$ are consistent with aExpand
Crystal Growth and Real Structure Effects of the First Weak 3D Stacked Topological Insulator Bi14Rh3I9
A detailed account of the crystal-growth technique and real structure effects of the first 3D weak topological insulator Bi14Rh3I9 = [(Bi4Rh)3I][BiI4]2 is given. As recently shown, this compoundExpand
Tunable multifunctional topological insulators in ternary Heusler compounds.
• Materials Science, Physics
• Nature materials
• 2010
It is demonstrated that around 50 Heusler compounds show band inversion similar to that of HgTe, which can open new research directions in realizing the quantized anomalous Hall effect and topological superconductors. Expand
Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , K, Rb)
Three-dimensional (3D) Dirac point, where two Weyl points overlap in momentum space, is usually unstable and hard to realize. Here we show, based on the first-principles calculations and effectiveExpand