Edge states at an intersection of edges of a topological material

被引：56

作者：

Hashimoto, Koji ^{[1
]}

Wu, Xi ^{[1
]}

Kimura, Taro ^{[2
,3
]}

机构：

[1] Osaka Univ, Dept Phys, Toyonaka, Osaka 5600043, Japan

[2] Keio Univ, Dept Phys, Yokohama, Kanagawa 2238521, Japan

[3] CTPU Inst Basic Sci, Fields Grav & Strings, Daejeon 34047, South Korea

来源：

PHYSICAL REVIEW B | 2017年 / 95卷 / 16期

关键词：

WEYL FERMION SEMIMETAL; INSULATORS; SUPERCONDUCTORS; TRANSITION; NUMBER; HALL; ARCS;

D O I：

10.1103/PhysRevB.95.165443

中图分类号：

T [工业技术];

学科分类号：

08 ;

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.

引用

页数：10

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