The edge state network model and the global phase diagram

Abstract

The effects of randomness are investigated in the fractional quantum Hall systems. Based on the Chern-Simons Ginzburg-Landou theory and considering relevant quasi-particle tunneling, the edge state network model for the hierarchical state is introduced and the plateau-plateau transition and liquid-insulator transition are discussed. This model has duality which corresponds to the relation of the quantum Hall liquid phase and the Hall insulating phase and reveals a mechanism in the weak coupling regime.

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References in corpus (12)

• Global phase diagram for the quantum Hall effect: An experimental picture
• Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
• Floating of Extended States and Localization Transition in a Weak Magnetic Field
• Weak Field Phase Diagram for an Integer Quantum Hall Liquid
• Sum Rule of the Hall Conductance in Random Quantum Phase Transition
• Landau Level Mixing and Levitation of Extended States in Two Dimensions
• Transition from Integer Quantum Hall State to Insulator
• Edge and Bulk of the Fractional Quantum Hall Liquids
• Quantum Transport in Two-Channel Fractional Quantum Hall Edges
• Transitions from the Quantum Hall State to the Anderson Insulator: Fa te of Delocalized States
• Network of edge states: random Josephson junction array description
• Theory of suppressed shot-noise at $\nu =2/(2p+\chi )$