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Topological Solitons and Low-Energy Phenomena on Noncommutative Space

Research Project

Project/Area Number 21540254
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 InstitutionThe Institute of Physical and Chemical Research

Principal Investigator

EZAWA Zyun F.  独立行政法人理化学研究所, 仁科加速器研究センター, 客員研究員 (90133925)

Project Period (FY) 2009-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords非可換空間 / 非可換ソリトン / 量子ホール効果 / 量子位相 / ジョセフソン電流 / スカーミオン / スピン流 / ゴールドストーン・モード / 2層量子ホール系 / ボーズ凝縮 / 2層量子ホール系 / 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. Charged excitations in the QH system are noncommutative skyrmions. On the other hand, parallel magnetic field penetrates into the bilayer system as quantized sine-Gordon soliton fluxes. I have analyzed a scattering process of skyrmions against a sine-Gordon soliton lattice and compared the theoretical results with the experimental results due to Sawada's group (Kyoto University) with good agreement. Next, I made a theoretical study of the Josephson-like phenomena in a bilayer QH system for various way of feeding current to the system. I have compared the results with the experimental results due to von Klitzing's group (Max-Planck Institute) with good agreement. I have also analyzed Goldstone modes in the canted antiferromagnetic phase of the bilayer QH system within the framework of the noncommutative geometry. Then, I have predicted the existence of spin-Josephson current.

Report

(6 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (47 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (20 results) (of which Peer Reviewed: 19 results) Presentation (23 results) Book (2 results) Remarks (2 results)

  • [Journal Article] Nuclear spin relaxation in the SU(4) spin-pseudospin intertwined skyrmion regime in theν=1 bilayer quantum Hall state2013

    • Author(s)
      S. Tsuda, M-H. Nguyen, D. Terasawa, A. Fukuda, Z.F. Ezawa, and A. Sawada
    • Journal Title

      Phys. Rev. B

      Volume: 88, 205103 Issue: 20 Pages: 1-4

    • DOI

      10.1103/physrevb.88.205103

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system2013

    • Author(s)
      Yusuke Hama, George Tsitsishvili, and Zyun F. Ezawa
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 053I01 Issue: 5 Pages: 1-33

    • DOI

      10.1093/ptep/ptt025

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spin Supercurrent in the Canted Antiferromagnetic Phase2013

    • Author(s)
      Yusuke Hama, George Tsitsishvili, Zyun. F. Ezawa
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 87 Issue: 10 Pages: 104-516

    • DOI

      10.1103/physrevb.87.104516

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Theoretical Approach to Ground States of theν=2/3 Bilayer Fractional Quantum Hall Systems2013

    • Author(s)
      Yangdong Zheng, Anju Sawada and Zyun F. Ezawa
    • Journal Title

      Solid State Communications

      Volume: 155 Pages: 82-87

    • DOI

      10.1016/j.ssc.2012.10.019

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spin-Pseudospin Intertwined Excitation at ν=1 Bilayer Quantum Hall State Investigated by the Nuclear-Spin Relaxation2013

    • Author(s)
      S. Tsuda, D. Terasawa, M. H. Nguyen, A. Fukuda, Y. D. Zheng, T. Arai, A. Sawada, Z. F. Ezawa
    • Journal Title

      AIP Conf. Proc.

      Volume: 1566 Pages: 269-270

    • DOI

      10.1063/1.4848389

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The study of Golds tone modes in ν=2 bilayer quantum Hall systems2012

    • Author(s)
      Y. Hama, Y. Hidaka, G. Tsitsishvili, Z. F. Ezawa
    • Journal Title

      THE EUROPEAN PHYSICAL JOURNAL B

      Volume: 85 Issue: 11 Pages: 368-368

    • DOI

      10.1140/epjb/e2012-30559-2

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Onset Temperature for the Kosterlitz-Thouless Phase Transition in the Bilayerν=1 Quantum Hall State2012

    • Author(s)
      D. Terasawa, A. Fukuda, T. Morikawa, Y. D. Zheng, A. Sawada and Z.F. Ezawa
    • Journal Title

      Phys. Rev. B

      Volume: 86, 165320 Issue: 16 Pages: 1-6

    • DOI

      10.1103/physrevb.86.165320

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interlayer Phase Coherence and Josephson Effects in Bilayer Quantum Hall Systems2012

    • Author(s)
      Z.F. Ezawa, G. Tsitsishvili and A. Sawada
    • Journal Title

      Euro. Phys. J. B

      Volume: 85, 270 Issue: 8 Pages: 1-18

    • DOI

      10.1140/epjb/e2012-30026-2

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Josephson Tunneling in Bilayer Quantum Hall System2012

    • Author(s)
      Z.F. Ezawa, G. Tsitsishvili and A. Sawada
    • Journal Title

      Phys. Lett. A

      Volume: 376 Issue: 35 Pages: 2430-2434

    • DOI

      10.1016/j.physleta.2012.06.011

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Excitation properties of v=2/3 bilayerquantum Hall phases investigated bymagnetotransport methods2011

    • Author(s)
      Y. D. Zheng, A. Sawada, Z. F. Ezawa, T. Morikawa, A. Fukuda, D. Terasawa, S. Tsuda, M. H. Nguyen
    • Journal Title

      Physical Review B.

      Volume: 83 Issue: 23 Pages: 1-6

    • DOI

      10.1103/physrevb.83.235330

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Skyrmion and Bimeron Excitations in Imbalanced Bilayer Quantum Hall Systems2011

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

      AIP Conf.Proc.

      Volume: 1399 Pages: 605-606

    • DOI

      10.1063/1.3666523

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effects of the in-plane magnetic fields on excitations of the ν=1/3 bilayer quantum Hall states in the vicinity of single layer limit2011

    • Author(s)
      A.Fukuda
    • Journal Title

      AIP Conf.Proc.

      Volume: 1399 Pages: 609-610

    • DOI

      10.1063/1.3666525

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Skyrmion and Bimeron Excitations in Bilayer Quantum Hall Systems2010

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

      Physica E

      Volume: 42 Issue: 4 Pages: 1069-1072

    • DOI

      10.1016/j.physe.2009.11.057

    • Related Report
      2013 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Activation Energy Gap of the Layer-Imbalanced Bilayerν=1/3 Quantum Hall States2010

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

      Physica E

      Volume: 42 Issue: 4 Pages: 1046-1049

    • DOI

      10.1016/j.physe.2009.10.013

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Activation study of collective excitations of the soliton-lattice phasein theν=1 double-layer quantum Hallstate2010

    • Author(s)
      D. Terasawa1, S. Kozumi, A. Fukuda, M. Morino, K. Iwata, N. Kumada, Y. Hirayama, Z. F. Ezawa, and A. Sawada
    • Journal Title

      Phys. Rev

      Volume: B81 Issue: 7 Pages: 73303-73306

    • DOI

      10.1103/physrevb.81.073303

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Activation Energy Gap of the Layer-Imbalanced Bilayer ν=1/3 Quantum Hall States2010

    • Author(s)
      A.Fukuda
    • Journal Title

      Physica E

      Volume: 42 Pages: 1046-1049

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Activation study of collective excitations of the soliton-lattice phase in the ν=1 double-layer quantum Hall state2010

    • Author(s)
      D.Terasawa
    • Journal Title

      Physical Review B 81

      Pages: 73303-73306

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2010

    • Author(s)
      Gerald E Brown
    • Journal Title

      The Multifaceted Skyrmion(World Scientific)

      Pages: 233-267

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Quantum Hall ferromagnets2009

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

      Rep. Prog. Phys

      Volume: 72, 086502 Issue: 8 Pages: 32-32

    • DOI

      10.1088/0034-4885/72/8/086502

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Hall Ferromagnets2009

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

      Reports on Progress in Physics 72

      Pages: 86502-86533

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Spin supercurrent in the canted antiferromagnetic phase2013

    • Author(s)
      Y. Hama, G. Tsitsishvili, and Z.F. Ezawa
    • Organizer
      20th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-20) and 16th International Conference on Modulated Semiconductor Structures(MSS-16)
    • Place of Presentation
      Wrocaw University of Technology, Wrocaw, Poland
    • Related Report
      2013 Final Research Report
  • [Presentation] 傾角反強磁性相におけるスピンジョセフソン超電流の研究2013

    • Author(s)
      濱祐介, G. Tsitsishvili, 江澤潤一
    • Organizer
      日本物理学
    • Place of Presentation
      広島大学
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Spin Josephson Supercurrent in the Canted Antiferromagnetic Phase2013

    • Author(s)
      Y. Hama, G. Tsitsishvili, and Z.F. Ezawa
    • Organizer
      QS2C Theory Forum : International Symposium on "Strongly Correlated Quantum Science"
    • Place of Presentation
      Ito International Research Center, Hongo Campus, The University of Tokyo
    • Related Report
      2013 Final Research Report
  • [Presentation] Spin Josephson Supercurrent in the Canted Antiferromagnetic Phase2013

    • Author(s)
      Y. Hama, G. Tsitsishvili, and Z.F. Ezawa
    • Organizer
      QS2C Theory Forum : International Symposium on "Strongly Correlated Quantum Science"
    • Place of Presentation
      東京大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Spin supercurrent in the canted antiferromagnetic phase2013

    • Author(s)
      Y. Hama, G. Tsitsishvili, Z.F. Ezawa
    • Organizer
      20th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-20)
    • Place of Presentation
      Wroclaw University of Technology, Wroclaw, Poland
    • Related Report
      2013 Annual Research Report
  • [Presentation] Spin Josephson Supercurrent in the Canted Antiferromagnetic Phase2013

    • Author(s)
      Y. Hama
    • Organizer
      QS2C Theory Forum: International Symposium on "Strongly Correlated Quantum Science"
    • Place of Presentation
      東京大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 2層ν=2量子ホール系におけるゴールドストーンモードの研究2012

    • Author(s)
      濱祐介, G. Tsitsishvili, 江澤潤一
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2013 Final Research Report
  • [Presentation] The Study of Goldstone modes inν=2 Bilayer Quantum Hall Systems, HMF-202012

    • Author(s)
      Y. Hama, G. Tsitsishvili, and Z.F. Ezawa
    • Organizer
      The 20th International Conference on High Magnetic Fields in Semiconductor Physics
    • Place of Presentation
      Chamonix Congres centre "Le Majestic", Chamonix Mont-Blanc, France
    • Related Report
      2013 Final Research Report
  • [Presentation] Spin-Pseudospin intertwined excitation atν=1 Bilayer Quantum Hall State investigated by the Nuclear-spin Relaxation2012

    • Author(s)
      S. Tsuda, M-H. Nguyen, D. Terasawa, A. Fukuda, Z.F. Ezawa, and A. Sawada
    • Organizer
      ICPS 2012: 31st International Conference on the Physics of Semiconductors
    • Place of Presentation
      Zurich, Switzerland
    • Related Report
      2013 Final Research Report
  • [Presentation] Josephson Inplane and Tunneling Currents in Bilayer Quantum Hall System2012

    • Author(s)
      Z.F. Ezawa, G. Tsitsishvili, A. Sawada
    • Organizer
      ICPS 2012: 31st International Conference on the Physics of Semiconductors
    • Place of Presentation
      Zurich, Switzerland
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Spin-Pseudospin intertwined excitation at ν=1 Bilayer Quantum Hall State investigated by the Nuclear-spin Relaxation2012

    • Author(s)
      S. Tsuda
    • Organizer
      ICPS 2012: 31st International Conference on the Physics of Semiconductors
    • Place of Presentation
      Zurich, Switzerland
    • Related Report
      2012 Annual Research Report
  • [Presentation] The Study of Goldstone modes in ν=2 Bilayer Quantum Hall Systems2012

    • Author(s)
      Y. Hama
    • Organizer
      HMF-20: The 20th International Conference on High Magnetic Fields in Semiconductor Physics
    • Place of Presentation
      Chamonix Mont-Blanc, France
    • Related Report
      2012 Annual Research Report
  • [Presentation] 2層ν=2 量子ホール系におけるゴールドストーンモードの研究2012

    • Author(s)
      濱 祐介
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Activated transport in theν=1 bilayer quantum Hall states with smalltunneling energy DSAS = 1 K2011

    • Author(s)
      A. Fukuda, D. Terasawa, M. Morino, K. Iwata, S. Kozumi, N. Kumada, Y. Hirayama, Z.F. Ezawa and A. Sawada
    • Organizer
      The 26th International Conference on Low Temperature Physics
    • Place of Presentation
      International Convention Center, Beijing, China
    • Year and Date
      2011-08-16
    • Related Report
      2013 Final Research Report
  • [Presentation] Activated transport in the ν=1 bilayer quantum Hall states with small tunneling energy DSAS=1 K2011

    • Author(s)
      A.Fukuda
    • Organizer
      The 26th International Conference on Low Temperature Physics
    • Place of Presentation
      International Convention Center, Beijing, China
    • Year and Date
      2011-08-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Anomalous behavior of the onset of the activated temperature in the bilayerν=1 quantum Hall states with small tunneling energy2011

    • Author(s)
      D. Terasawa, A. Fukuda, T. Morikawa, Y. D. Zheng, A. Sawada and Z.F. Ezawa
    • Organizer
      The 19th International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Tallahassee, Florida, USA
    • Year and Date
      2011-07-25
    • Related Report
      2013 Final Research Report
  • [Presentation] Investigation of Excitation Properties in theν=2/3 Bilayer Quantum Hall Systems2011

    • Author(s)
      Y.-D. Zheng, A.Sawada and Z.F. Ezawa
    • Organizer
      The 19th International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Tallahassee, Florida, USA
    • Year and Date
      2011-07-25
    • Related Report
      2013 Final Research Report
  • [Presentation] Investigation of Excitation Properties in the ν=2/3 Bilayer Quantum Hall Systems2011

    • Author(s)
      Y.D.Zheng
    • Organizer
      The 19th International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Tallahassee, Florida, USA
    • Year and Date
      2011-07-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] Anomalous behavior of the onset of the activated temperature in the bilayer ν=1 quantum Hall states with small tunneling energy2011

    • Author(s)
      D.Terasawa
    • Organizer
      The 19th International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      Tallahassee, Florida, USA
    • Year and Date
      2011-07-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] Excited States of Spins and Pseudospins in theν= 2/3 Bilayer Quantum Hall Systems2010

    • Author(s)
      Y.-D. Zheng, A.Sawada and Z.F. Ezawa
    • Organizer
      30th International Conference on the Physics of Semiconductors
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2010-07-29
    • Related Report
      2013 Final Research Report
  • [Presentation] Excited States of Spins and Pseudospins in the ν=2/3 Bilayer Quantum Hall Systems2010

    • Author(s)
      Y.D.Zheng
    • Organizer
      30th International Conference on the Physics of Semiconductors
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2010-07-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] Skyrmions and Bimerons in Imbalanced Bilayer Quantum Hall Systems2010

    • Author(s)
      Z.F. Ezawa
    • Organizer
      30th International Conference on the Physics of Semiconductors
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2010-07-27
    • Related Report
      2013 Final Research Report 2010 Annual Research Report
  • [Presentation] Skyrmion and Bimeron Excitations in Bilayer Quantum Hall Systems2009

    • Author(s)
      Z.F. Ezawa
    • Organizer
      The 18th International Conference on Electronic Properties of Two-Dimensional Systems
    • Place of Presentation
      神戸国際会議場(神戸市)
    • Year and Date
      2009-07-23
    • Related Report
      2013 Final Research Report 2009 Annual Research Report
  • [Book] Quantum Hall Effects (3^<rd> Edition): Recent Theoretical and Experimental Developments2013

    • Author(s)
      Z.F. Ezawa
    • Total Pages
      928
    • Publisher
      World Scientific (Singapore)
    • Related Report
      2013 Final Research Report
  • [Book] Quantum Hall Effects: Recent Theoretical and Experimental Developments2013

    • Author(s)
      Zyun F. Ezawa
    • Total Pages
      928
    • Publisher
      World Scientific
    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2013 Final Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2019-07-29  

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