1997/03/18 by Ming‐Che Chang, M. C. Chang, Min-Fong Yang +3
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.56.3602
published as Phys. Rev. B 56, 3602 (1997) · 4 pages, 1 figure, RevTex, submitted to Phys. Rev. B
arxiv created 1997/03/18 · openalex publication_date 1997/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B0. It is found that, as opposed to electrostatic disorder, the energy levels of localized electrons shift upward with a rate of order O(B0^\ensuremath-1) when B0 is decreased, while the extended states remain static at the same order. Therefore, there is no indication that the extended states will float out of the Fermi energy and induce a metal-insulator transition as the magnetic disorder is increased. We also find that the Zeeman term may have a significant effect on the spectral shift of low-lying Landau levels.