Bloch electrons on honeycomb lattice and toric Calabi-Yau geometry

Abstract We find a new relation between the spectral problem for Bloch electrons on a two-dimensional honeycomb lattice in a uniform magnetic field and that for quantum geometry of a toric Calabi-Yau threefold. We show that a difference equation for the Bloch electron is identical to a quantum mirro...

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Bibliographic Details
Main Authors: Yasuyuki Hatsuda, Yuji Sugimoto
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2020)026