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Quantifying the levitation picture of extended states in lattice models

2002/07/25 by A. L. C. Pereira, Ana. L. C. Pereira, P. A. Schulz
Physics and Astronomy · #Condensed matter physics #Lattice (music) #Lattice field theory #Levitation #Particle in a one-dimensional lattice #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Statistical physics #Theoretical physics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.66.155323

published as Phys. Rev. B 66, 155323 (2002) · 5 pages, submitted to PRB

arxiv created 2002/07/25 · openalex publication_date 2002/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The behavior of extended states is quantitatively analyzed for two-dimensional lattice models. A levitation picture is established for both white-noise and correlated disorder potentials. In a continuum limit window of the lattice models we find simple quantitative expressions for the extended states levitation, suggesting an underlying universal behavior. On the other hand, these results point out that the quantum Hall phase diagrams may be disorder dependent.

Citations