Integer quantum Hall effect in isotropic 3D systems

Mikito Koshino, H. Aoki

Research output: Contribution to journalConference articlepeer-review


We study whether the quantum Hall effect (QHE) predicted to occur in three-dimensional (3D) anisotropic systems by Koshino et al. [Phys. Rev. Lett. 86 (2001) 1062] can also exist in isotropic 3D crystals from two different limits. We show, in both the tight-binding model and the weak potential limit, that energy gaps, accompanied by the QHE, arise universally unless the magnetic field points in high-symmetry crystallographic directions. The quantized Hall topological integers (σxyyz, σzx) in 3D have been obtained for each of the gaps.

Original languageEnglish
Pages (from-to)214-217
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-3
Publication statusPublished - 2004 Apr 1
Event15th International Conference on ELectronic Propreties - Nara, Japan
Duration: 2003 Jul 142003 Jul 18


  • Hofstadter's butterfly
  • Quantum Hall effect

ASJC Scopus subject areas

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


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