Transitions from the Quantum Hall State to the Anderson Insulator: Fa te of Delocalized States

Details Transitions from the Quantum Hall State to the Anderson Insulator: Fa te of Delocalized States Transitions from the Quantum Hall State to the Anderson Insulator: Fa te of Delocalized States

1999-07-31

arxiv.org/abs/cond-mat/9908002v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages RevTeX, 14 postscript figures

Scientific paper

10.1103/PhysRevB.61.15952

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 trajectoy of the delocalized states are investigated by the topological arguments and the Thouless number study.

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