Band spectrum is D-brane

@article{Hashimoto2016BandSI,
  title={Band spectrum is D-brane},
  author={Koji Hashimoto and Taro Kimura},
  journal={Progress of Theoretical and Experimental Physics},
  year={2016},
  volume={2016}
}
  • Koji Hashimoto, Taro Kimura
  • Published 2016
  • Physics
  • Progress of Theoretical and Experimental Physics
  • 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. 
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