Conductance plateau transitions in quantum Hall wires with spatially correlated random magnetic fields

Abstract

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated with the edge state, in contrast to the naive expectation that the correlation simply reduces the effect of disorder. In the presence of correlation, the separation between the successive conductance plateau transitions becomes larger than the bulk Landau level separation determined by the mean value of the disordered magnetic fields. The transition energies coincide with the Landau levels in an effective magnetic field stronger than the mean value of the disordered magnetic field. For a long wire, the strength of this effective magnetic field is of the order of the maximum value of the magnetic fields in the system. It is shown that the effective field is determined by a part where the stronger magnetic field region connects both edges of the wire.

arXiv comment7 pages, 10 figures

References in corpus (8)

• Scaling Theory of the Integer Quantum Hall Effect
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Diffusion of electrons in random magnetic fields,
• Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder
• Levitation of quantum Hall critical states in a lattice model with spatially correlated disorder
• Charged particles in random magnetic fields and the critical behavior in the fractional quantum Hall effect
• Nonchiral Edge States at the Chiral Metal Insulator Transition in Disordered Quantum Hall Wires
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Cited by in corpus (5)

• Quantum Hall plateau transition in graphene with spatially correlated random hopping
• Generalized Chiral Symmetry and Stability of Zero Modes for Tilted Dirac Cones
• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Magnetoconductance switching in an array of oval quantum dots
• Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level