Edge-of-edge States
Mesoscale and Nanoscale Physics
2017-05-03 v2 High Energy Physics - Theory
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 5-dimensional Weyl semimetals and their dimensional reductions, such as 4-dimensional topological insulators of class A and 3-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.
Cite
@article{arxiv.1702.00624,
title = {Edge-of-edge States},
author = {Koji Hashimoto and Taro Kimura and Xi Wu},
journal= {arXiv preprint arXiv:1702.00624},
year = {2017}
}
Comments
11 pages, 1 figure, references added