Band spectrum is D-brane
High Energy Physics - Theory
2016-01-27 v1 Mesoscale and Nanoscale Physics
Abstract
We show that band spectrum of topological insulators can be identified as the shape of D-branes in string theory. The identification is based on a relation between the Berry connection associated with the band structure and the ADHM/Nahm construction of solitons whose geometric realization is available with D-branes. We also show that chiral and helical edge states are identified as D-branes representing a noncommutative monopole.
Keywords
Cite
@article{arxiv.1509.04676,
title = {Band spectrum is D-brane},
author = {Koji Hashimoto and Taro Kimura},
journal= {arXiv preprint arXiv:1509.04676},
year = {2016}
}
Comments
1+32 pages; 7 figures