Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-03-18
Phys. Rev. B 56, 3602 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 1 figure, RevTex, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.56.3602
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 B_0. It is found that, as opposed to electrostatic disorder, the energy levels of localized electrons shift upward with a rate of order O(1/B_0) when B_0 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 significant effect on the spectral shift of low-lying Landau levels.
Chang Mei-Chu
Hong Tzay-Ming
Yang Min-Fong
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