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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.
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S. Young
S. Zaheer
Jeffrey C. Y. Teo
Physical Review Letters
University of Pennsylvania
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Young et al. (Fri,) studied this question.
www.synapsesocial.com/papers/6a0f5faab6f5ee04015fae6a — DOI: https://doi.org/10.1103/physrevlett.108.140405