Localization, wave-function topology, and the integer quantized Hall effect
- 15 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (7) , 619-622
- https://doi.org/10.1103/physrevlett.60.619
Abstract
In a magnetic field, a wave function in a two-dimensional system is uniquely specified by the position of its nodes. We show that for high fields and a weak random potential, motion of the zeros of the wave function under smooth changes of the boundary conditions can be used to characterize the behavior of the one-electron states and distinguish between localized and extended states.Keywords
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