Journal
PHYSICAL REVIEW B
Volume 89, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.89.045314
Keywords
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Funding
- Hong Kong RGC [604109, 605413]
- NNSF of China [11374249]
- Israeli Science Foundation [1173/2008, 400/2012]
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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 B-c(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.
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