TY - JOUR

T1 - Effect of Landau-level mixing for electrons in a random magnetic field

AU - Chang, Ming Che

AU - Yang, Min Fong

PY - 1997

Y1 - 1997

N2 - 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 (Formula presented) with a finite uniform component (Formula presented). It is found that, as opposed to electrostatic disorder, the energy levels of localized electrons shift upward with a rate of order (Formula presented) when (Formula presented) 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.

AB - 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 (Formula presented) with a finite uniform component (Formula presented). It is found that, as opposed to electrostatic disorder, the energy levels of localized electrons shift upward with a rate of order (Formula presented) when (Formula presented) 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.

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U2 - 10.1103/PhysRevB.56.3602

DO - 10.1103/PhysRevB.56.3602

M3 - Article

AN - SCOPUS:0004987781

SN - 1098-0121

VL - 56

SP - 3602

EP - 3605

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 7

ER -