1995/04/04 by D. Z. Liu, X. C. Xie, Xin Xie +1 · 6 citations
Physics and Astronomy · #Condensed matter physics #Ground state #Landau quantization #Magnetic field #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum phase transition #Quantum spin Hall effect #Topological Materials and Phenomena #cond-mat
paper · pdf · doi:10.1103/physrevlett.76.975
4 pages, ReVTeX 3.0, 4 figures (available upon request)
arxiv created 1995/04/04 · openalex publication_date 1996/02/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the transition of a two-dimensional electron gas from the regime of the quantum Hall effect to the regime of weak magnetic fields for a tight-binding model. Unlike previous work, we find the following: (1) the linear field dependence of the extended-state energies is not affected by disorder, although the total density of states below each level of extended states increases with disorder strength; (2) for each Landau band and disorder strength there exists a critical field Bc below which the extended level disappears, with Bc smaller for lower Landau bands. We show how the experimental findings of level flotation and direct transition from high Landau level states to the Anderson insulating phase may be explained in light of our results.