Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder

Abstract

Quantum transport properties in quantum Hall wires in the presence of spatially correlated random potential are investigated numerically. It is found that the potential correlation reduces the localization length associated with the edge state, in contrast to the naive expectation that the potential correlation increases it. The effect appears as the sizable shift of quantized conductance plateaus in long wires, where the plateau transitions occur at energies much higher than the Landau band centers. The scale of the shift is of the order of the strength of the random potential and is insensitive to the strength of magnetic fields. Experimental implications are also discussed.

arXiv comment5 pages, 4 figures

References in corpus (6)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Scaling Theory of the Integer Quantum Hall Effect
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Levitation of quantum Hall critical states in a lattice model with spatially correlated disorder
• Nonchiral Edge States at the Chiral Metal Insulator Transition in Disordered Quantum Hall Wires

Cited by in corpus (7)

• Quantum Hall plateau transition in graphene with spatially correlated random hopping
• Topological Insulator in the Presence of Spatially Correlated Disorder
• 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
• Conductance plateau transitions in quantum Hall wires with spatially correlated random magnetic fields
• Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level
• Effects of critical correlations on quantum percolation in two dimensions