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

Daniel P. Arovas; R. N. Bhatt; F. D.M. Haldane; P. B. Littlewood; R. Rammal

doi:10.1103/PhysRevLett.60.619

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

Daniel P. Arovas, R. N. Bhatt, F. D.M. Haldane, P. B. Littlewood, R. Rammal

Research output: Contribution to journal › Article › peer-review

88 Scopus citations

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.

Original language	English (US)
Pages (from-to)	619-622
Number of pages	4
Journal	Physical review letters
Volume	60
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.60.619
State	Published - 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.60.619

Cite this

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

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.",

author = "Arovas, {Daniel P.} and Bhatt, {R. N.} and Haldane, {F. D.M.} and Littlewood, {P. B.} and R. Rammal",

year = "1988",

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AU - Bhatt, R. N.

AU - Haldane, F. D.M.

AU - Littlewood, P. B.

AU - Rammal, R.

PY - 1988

Y1 - 1988

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AB - 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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DO - 10.1103/PhysRevLett.60.619

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

Abstract

All Science Journal Classification (ASJC) codes

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