Higher-order topological band structures
Abstract
The interplay of topology and symmetry in a material's band structure may result in various patterns of topological states of different dimensionality on the boundary of a crystal. The protection of these "higher-order" boundary states comes from topology, with constraints imposed by symmetry. We review the bulk-boundary correspondence of topological crystalline band structures, which relates the topology of the bulk band structure to the pattern of the boundary states. Furthermore, recent advances in the K-theoretic classification of topological crystalline band structures are discussed.
Keywords
Cite
@article{arxiv.2003.01144,
title = {Higher-order topological band structures},
author = {Luka Trifunovic and Piet W. Brouwer},
journal= {arXiv preprint arXiv:2003.01144},
year = {2020}
}
Comments
Expanded version of the published review article in physica status solidi (b). v2: discussion of experimental realizations of higher-order topological band structures