Analytically solvable microscopic model of fractional quantum Hall states

N. F. Johnson; L. Quiroga

doi:10.1016/0038-1098(94)90571-1

Analytically solvable microscopic model of fractional quantum Hall states

N. F. Johnson, L. Quiroga

Physics

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4 Scopus citations

Abstract

We present an analytically solvable cluster model of interacting electrons in a two-dimensional parabolic potential. The model includes mixing with all Landau levels and treats the exchange-correlation within a given electron pair exactly. The calculated sequence of ground state filling factors with increasing magnetic field, and their ranges of stability, are consistent with experimental data.

Original language	English (US)
Pages (from-to)	661-664
Number of pages	4
Journal	Solid State Communications
Volume	89
Issue number	8
DOIs	https://doi.org/10.1016/0038-1098(94)90571-1
State	Published - Feb 1994

ASJC Scopus subject areas

Chemistry(all)
Condensed Matter Physics
Materials Chemistry

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title = "Analytically solvable microscopic model of fractional quantum Hall states",

abstract = "We present an analytically solvable cluster model of interacting electrons in a two-dimensional parabolic potential. The model includes mixing with all Landau levels and treats the exchange-correlation within a given electron pair exactly. The calculated sequence of ground state filling factors with increasing magnetic field, and their ranges of stability, are consistent with experimental data.",

author = "Johnson, {N. F.} and L. Quiroga",

note = "Funding Information: Acknowledgement - This work was supported in part by COLCIENCIAS (Colombia) and the Nuffield Foundation (N.F.J.). We thank R. Haase, S. Scott, A. Turber-field and P. Maksym for useful discussions. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

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AU - Johnson, N. F.

AU - Quiroga, L.

N1 - Funding Information: Acknowledgement - This work was supported in part by COLCIENCIAS (Colombia) and the Nuffield Foundation (N.F.J.). We thank R. Haase, S. Scott, A. Turber-field and P. Maksym for useful discussions. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 1994/2

Y1 - 1994/2

N2 - We present an analytically solvable cluster model of interacting electrons in a two-dimensional parabolic potential. The model includes mixing with all Landau levels and treats the exchange-correlation within a given electron pair exactly. The calculated sequence of ground state filling factors with increasing magnetic field, and their ranges of stability, are consistent with experimental data.

AB - We present an analytically solvable cluster model of interacting electrons in a two-dimensional parabolic potential. The model includes mixing with all Landau levels and treats the exchange-correlation within a given electron pair exactly. The calculated sequence of ground state filling factors with increasing magnetic field, and their ranges of stability, are consistent with experimental data.

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JO - Solid State Communications

JF - Solid State Communications

SN - 0038-1098

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ER -

Analytically solvable microscopic model of fractional quantum Hall states

Abstract

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