Topological Crystalline Insulators and Dirac Octets in Anti-perovskites

Abstract

We predict a new class of topological crystalline insulators (TCI) in the anti-perovskite material family with the chemical formula A${}_3$BX. Here the nontrivial topology arises from band inversion between two $J=3/2$ quartets, which is described by a generalized Dirac equation for a "Dirac octet". Our work suggests that anti-perovskites are a promising new venue for exploring the cooperative interplay between band topology, crystal symmetry and electron correlation.

Accepted as PRB Rapid Communication. 4 pages, 3 figures, 3 pages of Supplementary Material. Typos fixed

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