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Dynamics of topological solitons in noncommutative space

Research Project

Project/Area Number 18540246
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionTohoku University

Principal Investigator

EZAWA Zyun (EZAWA Zyun F.)  Tohoku University, 大学院・理学研究科, 教授 (90133925)

Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,140,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥540,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Keywords2層量子ホール系 / サインゴードン・ソリトン / スカーミオン / スカーム・ソリトン / トポロジカルソリトン / 量子ホール効果 / 量子位相 / 非可換ソリトン / 非可換空間 / トポロジカル・ソリトン / メロン対
Research Abstract

Noncommutative geometry is realized in the quantum Hall (QH) system. We have constructed a microscopic theory of noncommutative skyrmions, which are quasiparticles in the QH system. In the bilayer QH system, parallel magnetic field penetrates between the two layers as sine-Gordon solitons, and forms a soliton lattice beyond the critical point. We have analyzed the scattering of the Hall current against the soliton lattice, which is shown to yields an anomalous resistivity in the QH regime around the critical point and explains the experimental data quite well.

Report

(5 results)
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (57 results)

All 2009 2008 2007 2006 Other

All Journal Article (27 results) (of which Peer Reviewed: 22 results) Presentation (26 results) Book (3 results) Remarks (1 results)

  • [Journal Article] Quantum Hall Ferromagnets2009

    • Author(s)
      Z. F. Ezawa
    • Journal Title

      Reports on Progress in Physics (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pseudospin Soliton in theν=1 Bilayer Quantum Hall State2008

    • Author(s)
      A. Fukuda, D. Terasawa, M. Morino, K. Iwata, S. Kozumi, N. Kumada, Y. Hirayama, Z.F. Ezawa, A. Sawada
    • Journal Title

      Physical Review Letters 100

      Pages: 16801-16804

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Activation Study of the Bilayerν=1/3 Quantum Hall State2008

    • Author(s)
      A. Fukuda, K. Iwata, T. Sekikawa, T. Arai, N. Kumada, Y. Hirayama, Z.F. Ezawa, A. Sawada
    • Journal Title

      Physica E 40

      Pages: 1261-1263

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilayer Quantum Hall Systems2008

    • Author(s)
      Z.F. Ezawa, K. Ishii, G. Tsitsishvili
    • Journal Title

      Physica E 40

      Pages: 1557-1559

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anisotropic Magnetotransport by the Pseudospin Soliton in the Bilayerν=1 Quantum Hall System2008

    • Author(s)
      A. Fukuda, M. Morino, K. Iwata, D. Terasawa, S. Kozumi, N. Kumada, Y. Hirayama, Z.F. Ezawa, A. Sawada
    • Journal Title

      Physica E 40

      Pages: 1255-1257

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of ln-Plane Magnetic Field Direction on the Nuclear-Spin Relaxation in theν=2/3 Quantum Hall State2008

    • Author(s)
      K. Iwata, M. Morino, A. Fukuda, M. Suzuki, Z.F. Ezawa, A. Sawada, N. Kumada, Y. Hirayama
    • Journal Title

      Physica E 40

      Pages: 1175-1177

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anomalous Diagonal Resistivity and Soliton Lattice in Bilayer Quantum Hall Systeins2008

    • Author(s)
      Z.F. Ezawa, K. Ishii, g. Tsitsishvili
    • Journal Title

      Physica B 40

      Pages: 1517-1519

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pseudospin Soliton in the ν=1 Bilayer Quantum Hall State2008

    • Author(s)
      A. Fukuda, D. Terasawa, M. Morino, K. Iwata, S. Kozumi, N. Kumada, Y. Hirayama, Z. F. Ezawa, and A. Sawada
    • Journal Title

      Physical Review Letters 100

      Pages: 16801-16804

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Effects of In-Plane Magnetic Field Direction on the Nuclear-Spin Relaxation in the ν=2/3 Quantum Hall State2008

    • Author(s)
      K. Iwata, M. Morino, A. Fukuda, M. Suzuki, Z.F. Ezawa, A. Sawada, N. Kumada, and Y. Hirayama
    • Journal Title

      Physica E 40

      Pages: 1175-1177

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilayer Quantum Hall Systems2008

    • Author(s)
      Z.F. Ezawa, K. Ishii, and G. Tsitsishvili
    • Journal Title

      Physica E 40

      Pages: 1557-1559

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Anomalous Diagonal Resistivity and Soliton Lattice in Bilayer Quantum Hall Systems2008

    • Author(s)
      Z.F. Ezawa, K. Ishii, and G. Tsitsishvili
    • Journal Title

      Physica B 40

      Pages: 1517-1519

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Anomalous Diagonal Resistivity and Soliton Lattice in Bilayer Quantum Hall Systems2008

    • Author(s)
      Z. F. Ezawa
    • Journal Title

      Physica B 403

      Pages: 1517-1519

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effects of In-Plane Magnetic Field Direction on the Nuclear-Spin Relaxation in the ν=2/3 Quantum Hall State2008

    • Author(s)
      K. Iwata
    • Journal Title

      Physica E 40

      Pages: 1175-1177

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pseudospin Soliton in the ν=1 Bilayer Quantum Hall State2008

    • Author(s)
      A. Fukuda
    • Journal Title

      Physical Review Letters 100

      Pages: 16801-16804

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Anisotropic Magnetotransport by the Psudospin Soliton in the Bilayer ν=1 Quantum Hall System2008

    • Author(s)
      A. Fukuda
    • Journal Title

      Physica E 40

      Pages: 1255-1257

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilayer Quantum Hall Systems2008

    • Author(s)
      Z. F. Ezawa
    • Journal Title

      Physica E 40

      Pages: 1557-1559

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Activation Study of the Bilayer γ=1/3 Quantum Hall State2008

    • Author(s)
      A. Fukuda
    • Journal Title

      Physica E 40

      Pages: 1261-1263

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Anomalous Quantum-Hall Resistance in Bilayer Counterflow Transport2007

    • Author(s)
      Z.F. Ezawa, S. Suzuki, g. Tsitsishvili
    • Journal Title

      Physica Status Solidi (c) 4

      Pages: 485-488

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anomalous Quantum-Hall Resistance in Bilayer Counterflow Transport2007

    • Author(s)
      Z.F. Ezawa, S. Suzuki, and G. Tsitsishvili
    • Journal Title

      Physica Status Solidi (c) 4

      Pages: 485-488

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Anisotropic Magneto-transport near theν=2/3 Quantum Hall State2006

    • Author(s)
      M. Morino, K. Iwata, M. Suzuki, A. Fukuda, A. Sawada, Z.F. Ezawa, N. Kumada, Y. Hirayama
    • Journal Title

      Physica E 34

      Pages: 152-155

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability of Soliton Lattice phase inν=1 Bilayer Quantum Hall State under Tilted Magnetic Field2006

    • Author(s)
      D. Terasawa, A. Fukuda, S. Kozumi, A. Sawada, Z.F. Ezawa, N. Kumada. Y. Hirayama
    • Journal Title

      Physica E 34

      Pages: 81-84

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Transport Study of Canted Antiferromagnet Phase in theν=2 Bilayer Quantum Hall State2006

    • Author(s)
      A. Fukuda, S. Kozumi, D. Terasawa, Y. Shimoda, N. Kumada, Y. Hirayama, Z.F. Ezawa, A. Sawada
    • Journal Title

      Physica E 34

      Pages: 77-80

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Magnetotransport Study of the Canted Antiferromagnetic Phase in the ν=2 Quantum Hall State2006

    • Author(s)
      A.Fukuda
    • Journal Title

      Phys. Rev. B 73

      Pages: 165304-165309

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Quantum Transport Study of Canted Antiferromagnet Phase in the ν=2 Bilayer Quantum Hall State2006

    • Author(s)
      A.Fukuda
    • Journal Title

      Physica E 34

      Pages: 77-80

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Stability of Soliton Lattice phase in ν=1 Bilayer Quantum Hall State under Tilted Magnetic Field2006

    • Author(s)
      D.Terasawa
    • Journal Title

      Physica E 34

      Pages: 80-84

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Anisotropic Magnetotransport near the ν=2/3 Quantum Hall State2006

    • Author(s)
      M.Morino
    • Journal Title

      Physica E 34

      Pages: 152-155

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Anomalous Quantum-Hall Resistance in Bilayer Counterflow Transport2006

    • Author(s)
      Z.F.Ezawa
    • Journal Title

      Physica Status Solidi (c) 4

      Pages: 485-489

    • Related Report
      2006 Annual Research Report
  • [Presentation] 2層系量子ホール状態における磁気抵抗のマイクロ波応答2008

    • Author(s)
      小笠原良晃
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      岩手大
    • Year and Date
      2008-09-20
    • Related Report
      2008 Final Research Report
  • [Presentation] 2層系量子ホール状態における磁気抵抗のマイクロ波応答2008

    • Author(s)
      小笠原良晃
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilaver Quantum Hall Systems2008

    • Author(s)
      A. Fukuda
    • Organizer
      ICPS-29 : 29th International Conference on the Physics of Semiconductors
    • Place of Presentation
      Rio de Janeiro, Brazil
    • Year and Date
      2008-07-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] 電子密度差のある2層系ν=1量子ホール状態における2層独立化と磁気抵抗異常2008

    • Author(s)
      小笠原良晃
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大
    • Year and Date
      2008-03-23
    • Related Report
      2008 Final Research Report
  • [Presentation] Thermal Activation of the Soliton Lattice in the v=1 Bilayer Quantum Hall Effect2008

    • Author(s)
      A. Fukuda
    • Organizer
      ICPS29: Inter- national Conference on the Physics of Semiconductors
    • Place of Presentation
      Riode Janeiro, Brazil
    • Related Report
      2008 Final Research Report
  • [Presentation] Thermal Activation of the Soliton Lattice in the ν=1 Bilayer Quantum Hall Effect2008

    • Author(s)
      A. Fukuda
    • Organizer
      ICPS29 : International Conference on the Physics of Semiconductors
    • Place of Presentation
      Rio de Janeiro, Brazil
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 2層系ν=1/3量子ホール状態における層間電子密度差に応じた活性化エネルギーの連続変化2007

    • Author(s)
      関川貴史
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大
    • Year and Date
      2007-09-21
    • Related Report
      2008 Final Research Report
  • [Presentation] 2層系ν=1量子ホール状態における磁気抵抗異常2007

    • Author(s)
      福田昭
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大
    • Year and Date
      2007-09-21
    • Related Report
      2008 Final Research Report
  • [Presentation] ν=2/3状態のスピン相転移点における核スピン緩和時間の面磁場方向依存性2007

    • Author(s)
      岩田一樹
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大
    • Year and Date
      2007-09-21
    • Related Report
      2008 Final Research Report
  • [Presentation] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilayer Quantum Hall Systems2007

    • Author(s)
      Z. F. Ezawa
    • Organizer
      EP2DS17: International Conference on"Electronic Properties of Two-dimensional Systems"
    • Place of Presentation
      Genova, Italy
    • Year and Date
      2007-07-16
    • Related Report
      2007 Annual Research Report
  • [Presentation] 強面内磁場下での2層系ν=3量子ホール状態におけるヒステリシス現象2007

    • Author(s)
      岩田一樹
    • Organizer
      日本物理学会春季大会
    • Place of Presentation
      鹿児島大
    • Year and Date
      2007-03-18
    • Related Report
      2008 Final Research Report
  • [Presentation] 2層系ν=1/3量子ホール状態における活性化エネルギーの電子密度差依存性2007

    • Author(s)
      福田昭
    • Organizer
      日本物理学会春季大会
    • Place of Presentation
      鹿児島大
    • Year and Date
      2007-03-18
    • Related Report
      2008 Final Research Report
  • [Presentation] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilayer Quantum Hall Systems2007

    • Author(s)
      Z.F. Ezawa
    • Organizer
      EP2DS17: International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Genova, Italy
    • Related Report
      2008 Final Research Report
  • [Presentation] Anisotropic Magneto- transport by Pseudospin Soliton in the Bilayerν=1 Quantum Hall System2007

    • Author(s)
      A. Fukuda
    • Organizer
      EP2DS17: International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Genova, Italy
    • Related Report
      2008 Final Research Report
  • [Presentation] Effects of ln-Plane Magnetic Field Direction on the Nuclear-Spin Relaxation in theν=2/3 Quantum Hall State2007

    • Author(s)
      K. Iwata
    • Organizer
      EP2DS17: International Conference on Electronic Properties of Two- Dimensional Systems
    • Place of Presentation
      Genova, Italy
    • Related Report
      2008 Final Research Report
  • [Presentation] Anomalous Diagonal Resistivity and Soliton Lattice in Bilayer Quantum Hall Systems2007

    • Author(s)
      Z.F. Ezawa
    • Organizer
      The International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Houston, USA
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] Interlayer Phase Coherence and Dissipative Soliton-Lattice Regime in Bilayer Quantum Hall Systems2007

    • Author(s)
      Z.F. Ezawa
    • Organizer
      EP2DS17 : International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Genova, Italy
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Anomalous Diagonal Resistivity and Soliton Lattice in Bilayer Quantum Hall Systems2007

    • Author(s)
      Z.F. Ezawa
    • Organizer
      The International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Houston, USA.
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] ν=2/3量子ホール状態におけるドメイン構造の面内磁場依存性2006

    • Author(s)
      岩田一
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      千葉大学
    • Year and Date
      2006-09-25
    • Related Report
      2008 Final Research Report
  • [Presentation] 2層系ν=1/3量子ホール状態2006

    • Author(s)
      福田昭
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      千葉大学
    • Year and Date
      2006-09-25
    • Related Report
      2008 Final Research Report
  • [Presentation] Anomalous Quantum-Hall Resistance in Bilayer Counterflow Transport2006

    • Author(s)
      Z.F. Ezawa
    • Organizer
      International Conference on Superlattices, Nano-Structure and Nano-Devices
    • Place of Presentation
      Istanbul, Turkey
    • Related Report
      2008 Final Research Report
  • [Presentation] Anomalous Hall Resistance in Bilayer Electron Systems2006

    • Author(s)
      Z.F. Ezawa
    • Organizer
      ICPS28: International Conference on the Physics of Semiconductors
    • Place of Presentation
      Vienna, Austria
    • Related Report
      2008 Final Research Report
  • [Presentation] In-plane Field Effects on the Canted Antiferromagnetic Phase in the Bilayerν=2 Quantum Hall State2006

    • Author(s)
      A. Fukuda
    • Organizer
      ICPS28: International Conference on the Physics of Semiconductors
    • Place of Presentation
      Vienna, Austria
    • Related Report
      2008 Final Research Report
  • [Presentation] Anisotropy of Current-pumped Nuclear Spin Polarization in theν= 2/3 Quantum Hall State2006

    • Author(s)
      K. Iwata
    • Organizer
      ICPS28: International Conference on the Physics of Semiconductors
    • Place of Presentation
      Vienna, Austria
    • Related Report
      2008 Final Research Report
  • [Presentation] Anomalous Quantum-Hall Resistance in Bilayer Counterflow Transport, International Conference on Superlattices2006

    • Author(s)
      Z.F. Ezawa
    • Organizer
      Nano-Structure and Nano-Devices
    • Place of Presentation
      Istanbul, Turkey
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Anomalous Hall Resistance in Bilayer Electron Systems2006

    • Author(s)
      Z.F. Ezawa
    • Organizer
      ICPS28 : International Conference on the Physics of Semiconductors
    • Place of Presentation
      Vienna, Austria
    • Related Report
      2008 Self-evaluation Report
  • [Book] Quantum Hall Effects: Field Theoretical Approach and Related Topics(2nd Edition)2008

    • Author(s)
      Z. F. Ezawa
    • Total Pages
      740
    • Publisher
      World Scientific
    • Related Report
      2008 Final Research Report
  • [Book] Quantum Hall Effects : Field Theoretical Approach and Related Topics,2nd Edition2008

    • Author(s)
      Z.F. Ezawa
    • Total Pages
      740
    • Publisher
      World Scientific (Singapore)
    • Related Report
      2008 Self-evaluation Report
  • [Book] Quantum Hall Effects; Field-Theoretical Approach and Related Topics (Revised 2nd Edition)2008

    • Author(s)
      Z. F. Ezawa
    • Total Pages
      740
    • Publisher
      World Scientific
    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      http://www.riken.jp/lab-www/theory/people/ezawa/

    • Related Report
      2008 Final Research Report

URL: 

Published: 2006-04-01   Modified: 2016-04-21  

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