Electronic structure of periodic curved surfaces - Continuous surface versus graphitic sponge

H. Aoki, M. Koshino, D. Takeda, H. Morise, K. Kuroki

Research output: Contribution to journalConference articlepeer-review

8 Citations (Scopus)


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 minimal, which is numerically solved. Bands and the Bloch wave functions are basically determined by the way in which the "pipes" are connected into a network, where the Bonnet(conformal)- transformed surfaces have related electronic structures. We then examine, as a realisation of periodic surfaces, the tight-binding model for atomic networks ("sponges"), where the low-energy spectrum coincides with those for continuous curved surfaces.

Original languageEnglish
Pages (from-to)696-699
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-3
Publication statusPublished - 2004 Apr
Externally publishedYes
Event15th International Conference on ELectronic Propreties - Nara, Japan
Duration: 2003 Jul 142003 Jul 18


  • Negative curvature fullerene
  • Periodic minimal surface
  • Zeolite

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics


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