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The edge state network model and the global phase diagram

Kentaro Nomura·Daijiro Yoshioka
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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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Kentaro Nomura, Daijiro Yoshioka. 2001-04-19. The edge state network model and the global phase diagram. https://doi.org/10.1143/jpsj.70.2652

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