1.8k citations · 14.7k across the 129 of their papers we have counts for
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cond-mat.mes-hall2001★ 22 cited
Phase Diagram for the Hofstadter butterfly and integer quantum Hall effect in three dimensions
M. Koshino, H. Aoki, T. Osada +2
We give a perspective on the Hofstadter butterfly (fractal energy spectrum in magnetic fields), which we have shown to arise specifically in three-dimensional(3D) systems in our pr…
cond-mat.mes-hall2001★ 4 cited
Field-Induced SDW and Butterfly Spectrum in Three Dimensions
M. Koshino, H. Aoki, T. Osada
Landau's quantization for incompletely nested Fermi surfaces is known to give rise to magnetic-field-induced spin-density waves(FISDW) in two-dimensional organic metals. Here we sh…
cond-mat.mtrl-sci2001★ 76 cited
Electronic structure of periodic curved surfaces -- topological band structure
H. Aoki, M. Koshino, D. Takeda +1
Electronic band structure for electrons bound on periodic minimal surfaces is differential-geometrically formulated and numerically calculated. We focus on minimal surfaces because…