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February 15, 1988Physical Review Letters91 citations

Localization, wave-function topology, and the integer quantized Hall effect

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DADaniel P. ArovasRBR. N. BhattFHF. D. M. Haldane

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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.

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Cite This Study

Arovas et al. (1988) studied this question.

synapsesocial.com/papers/6a10ebfa326831f8a2648778https://doi.org/10.1103/physrevlett.60.619
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