Spin Peierls Effect in Spin Polarization of Fractional Quantum Hall States

Sasaki, Shosuke

doi:https://doi.org/10.1016/j.susc.2004.06.101

Spin Peierls Effect in Spin Polarization of Fractional Quantum Hall States

Sasaki, Shosuke

Surface Science, 2004, 566-568(2), 1040-1046

アクセス数:215件（2025-07-11 12:20 集計）

固定URL: https://hdl.handle.net/11094/27149

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タイトル	Spin Peierls Effect in Spin Polarization of Fractional Quantum Hall States
著者	NRID 1000060029717 1000060029717 著者名 Sasaki, Shosuke
キーワード等	Equilibrium thermodynamics and statistical mechanics
	Many body and quasi-particle theories
	Hall effect
	Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
	Surface electronic phenomena (work function, surface potential, surface states, etc.)
	Semiconductor–semiconductor heterostructures
内容	This is the author's version of a work that was accepted for publication in < Surface Science>. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Surface Science, VOLUME 566-568 , ISSUE 2, 2004-09-20, http://dx.doi.org/10.1016/j.susc.2004.06.101
抄録	Electron spin-polarizations have been measured in the fractional quantum Hall effect. In experimental curves, a number of plateaus appear, some that are wide and others that are narrow. In this paper, theoretical calculations are presented to explain these observations. In the Landau gauge, single electron orbitals have the shape of equally spaced parallel lines. When a specific electron configuration of these orbitals is considered, the minimum classical Coulomb energy is obtained. Residual Coulomb interactions produce spin exchange interactions. If the spin-Peierls effect (modulation of the intervals between orbitals) is also taken into consideration, a new small energy gap appears. The total energy resulting from this modulation is smaller than the total energy in the non-modulated case, indicating that the modulation actually occurs. Eigenenergies are calculated under this modulation. The calculated spin-polarization curves then exhibit both narrow and wide plateaus, and are in good agreement with the experimental data.
出版者	Elsevier
収録物名	Surface Science
巻(号)	566-568(2)
ページ	1040-1046
刊行年月	2004-09-20
言語	英語
ハンドルURL	https://hdl.handle.net/11094/27149
PISSN	00396028
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.1016/j.susc.2004.06.101
アクセス権	open access
権利情報	Copyright © 2004 Elsevier B.V. All rights reserved.
出版タイプ	Accepted Manuscript
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Surface Science. 2004, 566-568(2), p. 1040-1046
DC.title	Spin Peierls Effect in Spin Polarization of Fractional Quantum Hall States
DC.creator	Sasaki, Shosuke
DC.publisher	Elsevier
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2004-09-20
DC.identifier	https://doi.org/10.1016/j.susc.2004.06.101
DC.subject	Equilibrium thermodynamics and statistical mechanics
	Many body and quasi-particle theories
	Hall effect
	Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
	Surface electronic phenomena (work function, surface potential, surface states, etc.)
	Semiconductor–semiconductor heterostructures
DC.description	This is the author's version of a work that was accepted for publication in < Surface Science>. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Surface Science, VOLUME 566-568 , ISSUE 2, 2004-09-20, http://dx.doi.org/10.1016/j.susc.2004.06.101
DCTERMS.abstract	Electron spin-polarizations have been measured in the fractional quantum Hall effect. In experimental curves, a number of plateaus appear, some that are wide and others that are narrow. In this paper, theoretical calculations are presented to explain these observations. In the Landau gauge, single electron orbitals have the shape of equally spaced parallel lines. When a specific electron configuration of these orbitals is considered, the minimum classical Coulomb energy is obtained. Residual Coulomb interactions produce spin exchange interactions. If the spin-Peierls effect (modulation of the intervals between orbitals) is also taken into consideration, a new small energy gap appears. The total energy resulting from this modulation is smaller than the total energy in the non-modulated case, indicating that the modulation actually occurs. Eigenenergies are calculated under this modulation. The calculated spin-polarization curves then exhibit both narrow and wide plateaus, and are in good agreement with the experimental data.
DC.rights	Copyright © 2004 Elsevier B.V. All rights reserved.
DC.format	27149
citation_title	Spin Peierls Effect in Spin Polarization of Fractional Quantum Hall States
citation_author	Sasaki, Shosuke
citation_publisher	Elsevier
citation_language	英語
citation_date	2004-09-20
citation_journal_title	Surface Science
citation_volume	566-568
citation_issue	2
citation_firstpage	1040
citation_lastpage	1046
citation_doi	https://doi.org/10.1016/j.susc.2004.06.101
citation_public_url	https://hdl.handle.net/11094/27149

Spin Peierls Effect in Spin Polarization of Fractional Quantum Hall States

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