Quantum hall effect on the Hofstadter butterfly

Mikito Koshino, Tsuneya Ando

研究成果: Article査読

11 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)3243-3246
ページ数4
ジャーナルjournal of the physical society of japan
73
12
DOI
出版ステータスPublished - 2004 12
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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