Edge states at an intersection of edges of a topological material

Article

关键词: WEYL FERMION SEMIMETAL;    INSULATORS;    SUPERCONDUCTORS;    TRANSITION;    NUMBER;    HALL;    ARCS;   

DOI  :  10.1103/PhysRevB.95.165443

来源: SCIE

【 摘 要 】

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.

【 授权许可】

Free