Phase Diagram of Integer Quantum Hall Effect

Abstract

The phase diagram of integer quantum Hall effect is numerically determined in the tight-binding model, which can account for overall features of recently obtained experimental phase diagram. In particular, the quantum Hall plateaus are terminated by two distinct insulating phases, characterized by the Hall resistance with classic and quantized values, respectively, which is also in good agreement with experiments.

4 pages, RevTex, 4 PostScript figures; one new figure is added; minor modifications in the text

References in corpus (3)

• The Quantized Hall Insulator: A New Insulator in Two-Dimensions
• Sum Rule of the Hall Conductance in Random Quantum Phase Transition
• Probing the plateau-insulator quantum phase transition in the quantum Hall regime

Cited by in corpus (19)

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• Quantum criticality at the Chern-to-normal insulator transition
• Levitation of quantum Hall critical states in a lattice model with spatially correlated disorder
• "Forbidden" transitions between quantum Hall and insulating phases in p-SiGe heterostructures
• Quantifying the levitation picture of extended states in lattice models
• Characterization of the Quantized Hall Insulator Phase in the Quantum Critical Regime
• Search for Multiple Step Integer Quantum Hall Transitions
• Integer Quantum Hall Effect: Disorder, temperature, floating, and plateau width
• Weakly chiral networks and 2D delocalized states in a weak magnetic field
• Mesoscopic Effects in the Quantum Hall Regime
• Probing onset of strong localization and electron-electron interactions with the presence of direct insulator-quantum Hall transition
• Phase diagram of weak-magnetic-field quantum Hall transition quantified from classical percolation
• Global quantum Hall phase diagram from visibility diagrams
• Fate of the extended states in a vanishing magnetic field: the role of spins in strongly-interacting 2D electron systems
• Visibility diagrams and experimental stripe structure in the quantum Hall effect
• Extended state floating up in a lattice model: Bona fide levitation fingerprints, irrespective of the correlation length
• Killing the Hofstadter butterfly, one bond at a time