The localization and the quantum Hall effect on the Hofstadter butterfly

Mikito Koshino, Tsuneya Ando

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Motivated by the recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional (2D) electron system with disorder to study the localization. Remarkably we find that one subband can contain more than two critical energies where the states are extended, which suggests the existence of the Hall plateau in the middle of the band. We also show that we can change the number of the critical energies introducing the anisotropy of the periodic potential, which is expected to be feasible in a real experiment.

Original languageEnglish
Title of host publicationPHYSICS OF SEMICONDUCTORS
Subtitle of host publication27th International Conference on the Physics of Semiconductors, ICPS-27
Pages537-538
Number of pages2
DOIs
Publication statusPublished - 2005 Jun 30
EventPHYSICS OF SEMICONDUCTORS: 27th International Conference on the Physics of Semiconductors, ICPS-27 - Flagstaff, AZ, United States
Duration: 2004 Jul 262004 Jul 30

Publication series

NameAIP Conference Proceedings
Volume772
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherPHYSICS OF SEMICONDUCTORS: 27th International Conference on the Physics of Semiconductors, ICPS-27
CountryUnited States
CityFlagstaff, AZ
Period04/7/2604/7/30

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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