Anti-levitation in integer quantum Hall systems

C. Wang, Y. Avishai, Yigal Meir, and X. R. Wang
Phys. Rev. B 89, 045314 – Published 29 January 2014


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 W1/B plane is suggested with a line separating domains of localized and delocalized states.

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  • Received 5 August 2013
  • Revised 13 January 2014


©2014 American Physical Society

Authors & Affiliations

C. Wang1,2, Y. Avishai1,3,*, Yigal Meir3, and X. R. Wang1,2,†

  • 1Physics Department, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
  • 2HKUST Shenzhen Research Institute, Shenzhen 518057, China
  • 3Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

  • *Corresponding author:
  • Corresponding author:

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Vol. 89, Iss. 4 — 15 January 2014

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