Band spectrum is D-brane

Koji Hashimoto, Taro Kimura

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4 Citations (Scopus)

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 Atiyah-Drinfeld-Hitchin-Manin/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.

Original languageEnglish
Article number013B04
JournalProgress of Theoretical and Experimental Physics
Volume2016
Issue number1
DOIs
Publication statusPublished - 2016 Jan 1

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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