Transitions from the quantum Hall state to the Anderson insulator: Fate of delocalized states

  title={Transitions from the quantum Hall state to the Anderson insulator: Fate of delocalized states},
  author={Yoshifumi Morita and Kenta Ishibashi and Yasuhiro Hatsugai},
  journal={Physical Review B},
Transitions between the quantum Hall state and the Anderson insulator are studied in a two-dimensional tight-binding model with a uniform magnetic field and a random potential. By the string (anyon) gauge, the weak magnetic field regime is explored numerically. The regime is closely related to the continuum model. The change of the Hall conductance and the trajectory of the delocalized states are investigated by the topological arguments and the Thouless number study. 

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