'Real' Gerbes and Dirac Cones of Topological Insulators

被引：1

作者：

Gomi, Kiyonori ^{[1
]}

Guo Chuan Thiang ^{[2
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Tokyo, Japan

[2] Peking Univ, Beijing Int Ctr Math Res, Beijing, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2021年 / 388卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

BUNDLE GERBES; K-THEORY; T-DUALITY; HOLONOMY; ALGEBRAS; PAIRINGS;

D O I：

10.1007/s00220-021-04238-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A time-reversal invariant topological insulator occupying a Euclidean half-space determines a 'Quaternionic' self-adjoint Fredholm family. We show that the discrete spectrum data for such a family is geometrically encoded in a non-trivial 'Real' gerbe. The gerbe invariant, rather than a naive counting of Dirac points, precisely captures how edge states completely fill up the bulk spectral gap in a topologically protected manner.

引用

页码：1507 / 1555

页数：49

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