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cond-mat.mes-hall2003★ 6 cited
Integer quantum Hall effect and Hofstadter's butterfly spectra in three-dimensional metals in external periodic modulations
Mikito Koshino, Hideo Aoki
We propose that Hofstadter's butterfly accompanied by quantum Hall effect that is similar to those predicted to occur in 3D tight-binding systems by Koshino {\it et al.} [Phys. Rev…
cond-mat.mtrl-sci2003★ 9 cited
Electronic structure of periodic curved surfaces -- continuous surface versus graphitic sponge
H. Aoki, M. Koshino, D. Takeda +2
We investigate the band structure of electrons bound on periodic curved surfaces. We have formulated Schrödinger's equation with the Weierstrass representation when the surface is…