Edge states at an intersection of edges of a topological material

Koji Hashimoto, Xi Wu, Taro Kimura

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We study an exotic state which is localized only at an intersection of edges of a topological material. This "edge-of-edge" state is shown to exist generically. We construct explicitly generic edge-of-edge states in five-dimensional Weyl semimetals and their dimensional reductions, such as four-dimensional topological insulators of class A and three-dimensional chiral topological insulators of class AIII. The existence of the edge-of-edge state is due to a topological charge of the edge states. The notion of the Berry connection is generalized to include the space of all possible boundary conditions, where Chern-Simons forms are shown to be nontrivial.

Original languageEnglish
Article number165443
JournalPhysical Review B
Volume95
Issue number16
DOIs
Publication statusPublished - 2017 Apr 25

ASJC Scopus subject areas

  • Condensed Matter Physics

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