Topological Crystalline Insulators and Dirac Octets in Anti-perovskites

TL;DR

This paper predicts a new class of topological crystalline insulators in anti-perovskite materials, characterized by a Dirac octet arising from band inversion, opening avenues for exploring topology, symmetry, and correlations.

Contribution

It introduces a novel topological phase in anti-perovskites based on band inversion between J=3/2 quartets and describes it with a generalized Dirac equation.

Findings

Prediction of topological crystalline insulators in anti-perovskites

Identification of Dirac octet as a key feature

Potential for exploring interplay of topology, symmetry, and correlation

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.