Dirac semimetal in three dimensions.

By S. Young, Saad Zaheer, J. C. Teo, C. L. Kane, E. Mele, Andrew M. Rappe. Physical Review Letters, 2011

1,195 citations recorded by the source corpus.

We show that the pseudorelativistic physics of graphene near the Fermi level can be extended to three dimensional (3D) materials. Unlike in phase transitions from inversion symmetric topological to normal insulators, we show that particular space groups also allow 3D Dirac points as symmetry protected degeneracies. We provide criteria necessary to identify these groups and, as an example, present ab initio calculations of β-cristobalite BiO(2) which exhibits three Dirac points at the Fermi level. We find that β-cristobalite BiO(2) is metastable, so it can be physically realized as a 3D analog to graphene.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/25192f5dfd6f41e084fb7c4201f1c3a5f18ae8ff

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Citations in the corpus

Experimental realization of a three-dimensional Dirac semimetal. (2013, background): “Considering a 3D Dirac point as an overlapping of two Weyl points [1, 3-5] immediately promotes 3D Dirac semimetals to one of the most wanted new materials from a theoretical point of view: apart from being natively topologically non-trivial, in some cases they can also be viewed as parent materials”
Topological photonics (2014, background): “We note that a Dirac point in 3D [64] is a linear point-degeneracy between four bands, consisting of two Weyl points of opposite Chern numbers sitting on top of each other in frequency.”
Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs (2015, background): “[7] S.”
Symmetry-protected topological photonic crystal in three dimensions (2015, neutral): “Unlike a 3D Dirac point [20, 21] — a four-fold degeneracy point which splits into two sets of doublet bands along any direction — our four-fold degeneracy here splits into four bands along a generic direction.”
Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2 (2013, result): “More interestingly, a very recent theoretical prediction [14] which motivated this work, has shown that the spin-orbit interaction in Cd3As2 cannot open up a full energy gap between the inverted bulk conduction and valence bands due to the protection of an additional crystallographic symmetry [12] (”
Experimental Tests of the Chiral Anomaly Magnetoresistance in the Dirac-Weyl Semimetals Na3Bi and GdPtBi (2018, background): “Recent progress in topological quantum matter has led to several systems that feature protected 3D Dirac and Weyl states in the bulk [2,3].”