SPIN-POLARIZATION IN FRACTIONAL QUANTUM HALL EFFECT

Sasaki, Shosuke

doi:info:doi/10.1016/S0039-6028(03)00091-8

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タイトル	SPIN-POLARIZATION IN FRACTIONAL QUANTUM HALL EFFECT
著者	Sasaki, Shosuke 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.)
	Quantum wells
	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 532-535 , 2003-06-10, http://dx.doi.org/10.1016/S0039-6028(03)00091-8
抄録	Experimental data show a number of plateaus of varying widths in the magnetic-field dependence of the electron-spin-polarization for fractional quantum Hall states. We have calculated the magnetic-field dependence of the spin polarization using a new theory. We start by adopting the Landau gauge and ignoring Coulomb interactions between electrons; then we construct single electron states in equally spaced orbitals. For a number of filling factors we have examined the many-electron states with electron configurations having minimum classical Coulomb energy. The residual Coulomb interactions in each many-electron state produce spin-exchange-forces. We have solved the eigenvalue problem of the interaction Hamiltonian composed of nearest neighbor spin-exchange-interactions. From the eigenvalues we have calculated the magnetic-field dependence of the spin polarization. Our results are in good accord with the magnetic-field dependence in experimental results, including the number and shape of the plateaus.
公開者	Elsevier
掲載誌名	Surface Science
巻	532-535
開始ページ	567
終了ページ	575
刊行年月	2003-06-10
ISSN	00396028
DOI (出版社版)	info:doi/10.1016/S0039-6028(03)00091-8
URL	http://hdl.handle.net/11094/27151
権利情報	Copyright © 2003 Elsevier Science B.V. All rights reserved.
言語	英語
カテゴリ	学術雑誌論文 Journal Article

著者版フラグ	author
NII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.532-535 P.567-P.575
DC.title	SPIN-POLARIZATION IN FRACTIONAL QUANTUM HALL EFFECT
DC.creator	Sasaki, Shosuke
DC.publisher	Elsevier
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2003-06-10
DC.identifier	info:doi/10.1016/S0039-6028(03)00091-8
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/27151
DC.subject	Equilibrium thermodynamics and statistical mechanics
	Many body and quasi-particle theories
	Hall effect
	Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
	Quantum wells
	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 532-535 , 2003-06-10, http://dx.doi.org/10.1016/S0039-6028(03)00091-8
DCTERMS.abstract	Experimental data show a number of plateaus of varying widths in the magnetic-field dependence of the electron-spin-polarization for fractional quantum Hall states. We have calculated the magnetic-field dependence of the spin polarization using a new theory. We start by adopting the Landau gauge and ignoring Coulomb interactions between electrons; then we construct single electron states in equally spaced orbitals. For a number of filling factors we have examined the many-electron states with electron configurations having minimum classical Coulomb energy. The residual Coulomb interactions in each many-electron state produce spin-exchange-forces. We have solved the eigenvalue problem of the interaction Hamiltonian composed of nearest neighbor spin-exchange-interactions. From the eigenvalues we have calculated the magnetic-field dependence of the spin polarization. Our results are in good accord with the magnetic-field dependence in experimental results, including the number and shape of the plateaus.
DC.rights	Copyright © 2003 Elsevier Science B.V. All rights reserved.
citation_title	SPIN-POLARIZATION IN FRACTIONAL QUANTUM HALL EFFECT
citation_author	Sasaki, Shosuke
citation_publisher	Elsevier
citation_language	英語
citation_date	2003-06-10
citation_journal_title	Surface Science
citation_volume	532-535
citation_firstpage	567
citation_lastpage	575
citation_issn	00396028
citation_doi	info:doi/10.1016/S0039-6028(03)00091-8
citation_public_url	http://hdl.handle.net/11094/27151
citation_keywords	Equilibrium thermodynamics and statistical mechanics
	Many body and quasi-particle theories
	Hall effect
	Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
	Quantum wells
	Semiconductor–semiconductor heterostructures

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