Electrides as a New Platform of Topological Materials
Motoaki Hirayama, Satoru Matsuishi, Hideo Hosono, Shuichi Murakami

TL;DR
This paper explores electrides as a promising platform for realizing various topological phases, leveraging their unique electronic structure to identify new topological materials through ab initio calculations.
Contribution
It demonstrates that electrides are highly suitable for achieving topological phases and identifies several new topological electrides using computational methods.
Findings
Y₂C is a nodal-line semimetal.
Sc₂C is an insulator with a π Zak phase.
HfBr is a quantum spin Hall system.
Abstract
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. Many well-known materials have turned out to be topological materials, and this new viewpoint of topology has opened a new horizon in material science. In this paper we find that electrides are suitable for achieving various topological phases, including topological insulating and topological semimetal phases. In the electrides, in which electrons serve as anions, the bands occupied by the anionic electrons lie near the Fermi level, because the anionic electrons are weakly bound by the lattice. This property of the electrides is favorable for achieving band inversions needed for topological phases, and thus the electrides are prone to topological phases. From such a point of view, we find many topological…
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