Anti-levitation in integer quantum Hall systems

C. Wang, Y. Avishai, Yigal Meir, X. R. Wang

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The evolution of extended states of two-dimensional electron gas with white-noise randomness and field is numerically investigated by using the Anderson model on square lattices. Focusing on the lowest Landau band we establish an anti-levitation scenario of the extended states: As either the disorder strength W increases or the magnetic field strength B decreases, the energies of the extended states move below the Landau energies pertaining to a clean system. Moreover, for strong enough disorder, there is a disorder-dependent critical magnetic field Bc(W) below which there are no extended states at all. A general phase diagram in the W-1/B plane is suggested with a line separating domains of localized and delocalized states.

Original languageEnglish
Article number045314
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - 29 Jan 2014


  • 71.30.+h
  • 73.20.Jc

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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