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

89 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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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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AU - Arovas, Daniel P.

AU - Bhatt, R. N.

AU - Haldane, F. D.M.

AU - Littlewood, P. B.

AU - Rammal, R.

PY - 1988

Y1 - 1988

N2 - 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.

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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UR - https://www.scopus.com/pages/publications/4243671910#tab=citedBy

U2 - 10.1103/PhysRevLett.60.619

DO - 10.1103/PhysRevLett.60.619

M3 - Article

C2 - 10038599

AN - SCOPUS:4243671910

SN - 0031-9007

VL - 60

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EP - 622

JO - Physical review letters

JF - Physical review letters

IS - 7

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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