Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators
Ryo Takahashi, Yutaro Tanaka, Shuichi Murakami
Abstract
This paper establishes a general proof of bulk-hinge correspondence in inversion-symmetric insulators. By continuously introducing a cut to a three dimensional second order topological insulator, the resulting spectral flow reflects parities of the bulk eigenstates, necessarily leading to band inversions through this cutting procedure. As a result, it is shown that a two dimensional slab of a three dimensional second-order topological insulator is always a two-dimensional Chern insulator.
Topics & Concepts
SlabTopological insulatorMathematicsPhysicsTopology (electrical circuits)Theoretical physicsInsulator (electricity)Order (exchange)Flow (mathematics)Gapless playbackTopological Materials and PhenomenaQuantum and electron transport phenomenaQuantum Mechanics and Non-Hermitian Physics