Quantum hall effect on the Hofstadter butterfly

Mikito Koshino, Tsuneya Ando

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Motivated by recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional electron system with disorder in the quantum Hall regime. We identify the critical energies where the states are extended for each of butterfly subbands, and obtain the trajectory as a function of the disorder. Remarkably, we find that, when the modulation becomes anisotropic, the critical energy branches accompanying a change of the Hall conductivity.

Original languageEnglish
Pages (from-to)3243-3246
Number of pages4
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - 2004 Dec
Externally publishedYes


  • Anderson localization
  • Hofstadter butterfly
  • Quantum Hall effect

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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