Spin Polarization of Fractional Quantum Hall States with ν < 2

Sasaki, Shosuke

Journal of Modern Physics, 2015, 2015(6), 794-810

Number of Access:250（2025-09-17 07:12 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/51732

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Title
Spin Polarization of Fractional Quantum Hall States with ν < 2
Creator
NRID
1000060029717 1000060029717
CreatorName
Sasaki, Shosuke
Subject
Spin Polarization
Fractional Quantum Hall Effect
2D Electron System
Quantum Theory
Abstract
The spin polarization of a fractional quantum Hall state shows very interesting properties. The curve of polarization versus magnetic field has wide plateaus. The fractional quantum Hall effect is caused by the Coulomb interaction because the 2D electron system without the Coulomb interaction yields no energy gap at the fractional filling factor. Therefore, the wide plateau in the polarization curve is also caused by the Coulomb interaction. When the magnetic field is weak, some electrons have up-spins and the others down-spins. Therein the spin-exchange transition occurs between two electrons with up and down spins via the Coulomb interaction. Then the charge distribution before the transition is the same as one after the transition. So these two states have the same classical Coulomb energy. Accordingly, the partial Hamiltonian composed of the spin exchange interaction should be treated exactly. We have succeeded in diagonalizing the spin exchange interaction for the first and second nearest electron pairs. The theoretical results reproduce the wide plateaus very well. If the interval modulations between Landau orbitals are taken into the Hamiltonian, the total energy has the Peierls instability. We can diagonalize the Hamiltonian with the interval modulation. The results reproduce wide plateaus and small shoulders which are in good agreement with the experimental data.
Publisher
Scientific Research Publishing Inc.
Source Title
Journal of Modern Physics
Volume (Issue)
2015(6)
Page
794-810
Date of Issued
2015-05-25
Language
English
Handle URL
https://hdl.handle.net/11094/51732
PISSN
21531196
eISSN
2153120X
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.4236/jmp.2015.66085
Access Rights
open access
CopyRight
© 2015 by author and Scientific Research Publishing Inc. This article is licensed under a Creative Commons Attribution 4.0 International License.
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article