Transition from the integer quantum Hall state to the insulator state

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Abstract
We study the disorder-induced transition between quantum Hall states and insulator states in a lattice model. We find that the energies of the extended states do not change as disorder strength is varied. As a consequence, there are direct transitions from all Landau-level quantum Hall states to the Anderson insulator state, in contrast to the global phase diagram proposed in earlier studies on continuum models. We also provide a microscopic understanding of the transition in terms of the topological properties of the system. The possible validity of our results in a continuum model is also discussed. © 1996 The American Physical Society.
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