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Theory of quantum spin ice, Kondo effect, and anomalous Hall effect in pyrochlore magnets

Research Project

Project/Area Number 21740275
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Condensed matter physics II
Research InstitutionThe Institute of Physical and Chemical Research

Principal Investigator

ONODA Shigeki  独立行政法人理化学研究所, 古崎物性理論研究室, 専任研究員 (70455335)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords強相関系 / 磁性 / スピン液体 / スピンアイス / 異常ホール効果 / トポロジー / 強相関電子系 / ゲージ理論 / ヒッグス転移 / ベリー位相 / スピンカイラリティー / 近藤効果
Research Abstract

In order to understand the origin of spin ice correlations and quantum fluctuations of Pr magnetic moments in magnetic pyrochlore oxides Pr_2(Ir, Sn)_2O_7, the superexchange interaction between Pr moments has been derived microscopically. Then, I have shown that this theoretical model can host a state characterized by a quantum melting of spin ice and have explained the anomalous Hall conductivity in the chiral spin liquid phase. Generalizing this theoretical framework, neutron-scattering experiments on Pr & _2Sn_2O_7 and Yb & _2Ti_2O_7 have been explained successfully.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (59 results)

All 2012 2011 2010 2009 Other

All Journal Article (18 results) (of which Peer Reviewed: 18 results) Presentation (37 results) Book (1 results) Remarks (3 results)

  • [Journal Article] Anisotropic hysteretic Hall effect and magnetic control of chiral domains in the chiral spin states of Pr_2Ir_2O_72011

    • Author(s)
      L. Balicas, S. Nakatsuji, Y. Machida, S. Onoda
    • Journal Title

      Physical Review Letters

      Volume: 106

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effective quantum pseudospin-1/2 model for Yb pyrochlore oxides2011

    • Author(s)
      S. Onoda
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 320

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spontaneous Hall Effect in the Spin Liquid Phase of Pr_2Ir_2O_72011

    • Author(s)
      S. Nakatsuji, Y. Machida, S. Onoda, T. Tayama, T. Sakakibara
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 320

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum fluctuations in the pseudospin-1/2 model for magnetic pyrochlore oxides2011

    • Author(s)
      S. Onoda, Y. Tanaka
    • Journal Title

      Physical Review B

      Volume: 83

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anisotropic Hysteretic Hall Effect and Magnetic Control of Chiral Domains in the Chiral Spin States of Pr_2Ir_2O_72011

    • Author(s)
      L.Balicas
    • Journal Title

      Physical Review Letters

      Volume: 106 Issue: 21 Pages: 2172041-4

    • DOI

      10.1103/physrevlett.106.217204

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effective quantum pseudospin-1/2 model for Yb pyrochlore oxides2011

    • Author(s)
      S.Onoda
    • Journal Title

      J.Phys.Conf.Series

      Volume: 320 Pages: 012065-012065

    • DOI

      10.1088/1742-6596/320/1/012065

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum fluctuations in the pseudospin-1/2 model for magnetic pyrochlore oxides2011

    • Author(s)
      Shigeki Onoda, Yoichi Tanaka
    • Journal Title

      Physical Review B

      Volume: 83 Issue: 9

    • DOI

      10.1103/physrevb.83.094411

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spontaneous Hall Effect in the Spin Liquid Phase of Pr_2Ir_2O_72011

    • Author(s)
      S.Nakatsuji
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 320 Pages: 012056-012056

    • DOI

      10.1088/1742-6596/320/1/012056

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum melting of spin ice : emergent cooperative quadrupole and chirality2010

    • Author(s)
      S. Onoda, Y. Tanaka
    • Journal Title

      Physical Review Letters

      Volume: 105

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anomalous Hall Effect2010

    • Author(s)
      N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, N. P. Ong
    • Journal Title

      Reviews of Modern Physics

      Volume: 82 Pages: 1539-1592

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order2010

    • Author(s)
      Y. Machida, S. Nakatsuji, S. Onoda, T. Tayama, T. Sakakibara
    • Journal Title

      Nature(London)

      Volume: 463 Pages: 210-213

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anomalous Hall effect2010

    • Author(s)
      N.Nagaosa
    • Journal Title

      Reviews of Modern Physics

      Volume: 82 Pages: 1539-1592

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum melting of spin ice : emergent cooperative quadrupole and chirality2010

    • Author(s)
      S.Onoda
    • Journal Title

      Physical Review Letters

      Volume: 105

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chiral order and electromagnetic dynamics in one-dimensional multiferroic cuprates2010

    • Author(s)
      S.Furukawa
    • Journal Title

      Physical Review Letters

      Volume: 105

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chain of Majorana states from superconducting Dirac fermions at a magnetic domain wall2010

    • Author(s)
      T.Neupert
    • Journal Title

      Physical Review Letters

      Volume: 105

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order2010

    • Author(s)
      Yo Machida
    • Journal Title

      Nature 463

      Pages: 210-213

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Novel Geometrical Frustration Effects in the 2D Triangular-Lattice Antiferromagnet NiGa_2S_4 and Related Compounds2010

    • Author(s)
      Satoru Nakatsuji
    • Journal Title

      Journal of the Physical Society of Japan 79

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet2009

    • Author(s)
      Su Do Yi
    • Journal Title

      Physical Review B 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Topological phases with broken time-reversal symmetry in pyrochlore iridates2012

    • Author(s)
      Shigeki Onoda
    • Organizer
      DPG Spring Meeting 2012
    • Place of Presentation
      Technische Universitat Berlin (Berlin, Germany)(招待講演)
    • Year and Date
      2012-03-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Theory of spin liquids in integer spin pyrochlores2012

    • Author(s)
      S. Lee, S. Onoda, L. Balents
    • Organizer
      APS March Meeting 2012
    • Place of Presentation
      Boston, USA
    • Year and Date
      2012-02-29
    • Related Report
      2011 Final Research Report
  • [Presentation] Theory of spin liquids in integer spin pyrochlores2012

    • Author(s)
      SungBin Lee, Shigeki Onoda, Leon Balens
    • Organizer
      APS March Meeting 2012
    • Place of Presentation
      Convention Center (Boston, USA)
    • Year and Date
      2012-02-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Schwinger-boson approach to spin-liquid and Higgs phases in quantum spin ice : Yb_2Ti_2O_7 and Pr_2Zr_2O_72012

    • Author(s)
      S. Onoda
    • Organizer
      APS March Meeting 2012
    • Place of Presentation
      Boston, USA
    • Year and Date
      2012-02-27
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum dynamics and Anderson-Higgs transition of magnetic monopoles in quantum spin ice systems2012

    • Author(s)
      L.-J. Chang, S. Onoda, Y. Su, et al
    • Place of Presentation
      Boston, USA
    • Year and Date
      2012-02-27
    • Related Report
      2011 Final Research Report
  • [Presentation] Schwinger-boson approach to spin-liquid and Higgs phases in quantum spin ice : Yb_2Ti_2O_7 and Pr_2Zr_2O_72012

    • Author(s)
      Shigeki Onoda
    • Organizer
      APS March Meeting 2012
    • Place of Presentation
      Convention Center (Boston, USA)
    • Year and Date
      2012-02-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Anderson-Higgs transition in quantum spin ice Yb_2Ti_2O_72012

    • Author(s)
      L.J.Chang, S.Onoda, Y.Su, et al
    • Organizer
      APS March Meeting 2012
    • Place of Presentation
      Convention Center (Boston, USA)
    • Year and Date
      2012-02-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Quantum dynamics and Anderson-Higgs transition of magnetic monopoles in quantum spin ice systems2012

    • Author(s)
      Shigeki Onoda
    • Organizer
      2nd ASRC International Workshop on Magnetic Materials and Nanostructures
    • Place of Presentation
      日本原子力機構先端科学研究センター(茨城県東海村)(招待講演)
    • Year and Date
      2012-01-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Topological phases with broken time-reversal symmetry in pyrochlore iridates2012

    • Author(s)
      S. Onoda
    • Organizer
      Deutsche Physikalische Gesellschaft Spring Meeting, Focus Session "Topological Transport in Systems with broken Time Inversion Symmetry"
    • Place of Presentation
      Technische Universitat Berlin, Berlin
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum dynamics and Anderson-Higgs transition of magnetic monopoles in quantum spin ice systems2012

    • Author(s)
      S. Onoda
    • Organizer
      2nd ASRC International Workshop on Magnetic Materials and Nanostructures
    • Place of Presentation
      Tokai, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Magnetic Coulomb liquids and Higgs transitions in rare-earth magnetic pyrochlore oxides2011

    • Author(s)
      Shigeki Onoda
    • Organizer
      Workshop on Geometrically Frustrated Magnets : From Spin Ice to Kagome Planes
    • Place of Presentation
      International Institute of Physics, Federal University of Rio Grande do Norte (Natal, Brazil)(招待講演)
    • Year and Date
      2011-12-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] Quantum dynamics of intrinsic topological magnetic defects2011

    • Author(s)
      S. Onoda
    • Organizer
      The 26th Nishinomiya-Yukawa Memorial International Workshop "Novel Quantum States in Condensed Matter 2011 : Correlation, Frustration and Topology"
    • Place of Presentation
      京都
    • Year and Date
      2011-12-06
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum dynamics of intrinsic topological magnetic defects2011

    • Author(s)
      Shigeki Onoda
    • Organizer
      The 26th Nishinomiya-Yukawa Memorial International Workshop "Novel Quantum States in Condensed Matter 2011 : Correlation, Frustration and Topology"
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)(招待講演)
    • Year and Date
      2011-12-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Quantum dynamics of intirnsic magnetic topological defects : monopoles and skyrmions2011

    • Author(s)
      S. Onoda
    • Organizer
      FIRST Program "Quantum Science on Strong Correlation" Theory Forum Workshop
    • Place of Presentation
      Univ. of Tokyo, Tokyo, Japan
    • Year and Date
      2011-04-28
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum dynamics of intirnsic magnetic topological defects : monopoles and skyrmions2011

    • Author(s)
      Shigeki Onoda
    • Organizer
      FIRST Program "Quantum Science on Strong Correlation" Theory Forum Workshop
    • Place of Presentation
      東京大学(東京)(招待講演)
    • Year and Date
      2011-04-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall2011

    • Author(s)
      T.Neupert
    • Organizer
      American Physical Society March Meeting 2011
    • Place of Presentation
      Dallas
    • Year and Date
      2011-03-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Competing interactions and continuum excitations in the spin-1 triangular lattice antiferromagnet NiGa_2S_42011

    • Author(s)
      J.Wen
    • Organizer
      American Physical Society March Meeting 2011
    • Place of Presentation
      Dallas
    • Year and Date
      2011-03-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dissipationless mechanism of skyrmion Hall effect in two-dimensional double-exchange ferromagnets2011

    • Author(s)
      S.Onoda
    • Organizer
      American Physical Society March Meeting 2011
    • Place of Presentation
      Dallas
    • Year and Date
      2011-03-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Emergent anomalous Hall effect in a pyrochlore spin liquid and intrinsic skyrmion Hall effect in double-exchange ferromagents2011

    • Author(s)
      S.Onoda
    • Organizer
      2nd ASRC International Workshop on Magnetic Materials and Nanostructures
    • Place of Presentation
      東海
    • Year and Date
      2011-03-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Intrinsic skyrmion Hall effect in two-dimensional relativistic double-exchange ferromagnets2011

    • Author(s)
      S.Onoda
    • Organizer
      International Conference on Frustration in Condensed Matter Physics
    • Place of Presentation
      仙台
    • Year and Date
      2011-01-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Magnetic Coulomb liquids and Higgs transitions in rare-earth magnetic pyrochlore oxides2011

    • Author(s)
      S. Onoda
    • Organizer
      Workshop on Geometrically Frustrated Magnets : From Spin Ice to Kagome Planes
    • Place of Presentation
      Natal, Brasil
    • Related Report
      2011 Final Research Report
  • [Presentation] New pyrochlore spin liquids2011

    • Author(s)
      S. Onoda
    • Organizer
      CIFAR/MEXT Japanese Network Meeting
    • Place of Presentation
      Coast Plaza Hotel and Suites, Vancouver, Canada
    • Related Report
      2011 Final Research Report
  • [Presentation] Mean-field and numerical studies on quantum effects in spin ice2010

    • Author(s)
      S.Onoda
    • Organizer
      "Advanced Working Group on Monopoles in Spin Ice" Meeting
    • Place of Presentation
      London
    • Year and Date
      2010-10-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum fluctuations thaw the spin ice : emergent quadrupole moment, chirality, and spin dynamics2010

    • Author(s)
      S.Onoda
    • Organizer
      5th International Conference on Highly Frustrated Magnetism
    • Place of Presentation
      Baltimore
    • Year and Date
      2010-08-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum melting of spin ice : chiral spin liquid and ferroquadrupole order2010

    • Author(s)
      S.Onoda
    • Organizer
      2nd APCTP-IACS Joint International Conference on Physics of Novel Oxide Materials
    • Place of Presentation
      Pohang
    • Year and Date
      2010-07-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] 磁性強誘電体の電気磁気結合と電磁応答の徴視的理論2010

    • Author(s)
      小野田繁樹
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山
    • Year and Date
      2010-03-23
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] Quantum melting of spinice2010

    • Author(s)
      S. Onoda, Y. Tanaka
    • Organizer
      Annual March Meeting of American Physical Society 2010
    • Place of Presentation
      Portland, USA
    • Year and Date
      2010-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum melting of spin ice2010

    • Author(s)
      小野田繁樹
    • Organizer
      Annual March Meeting of American Physical Society 2010
    • Place of Presentation
      Portland(OR)
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum effects in spin ice and related compounds2010

    • Author(s)
      S. Onoda
    • Organizer
      Advanced Working Group on Monopoles in Spin Ice meeting
    • Place of Presentation
      Royal Holloway College, University of London, UK
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum melting of spinice : chiral spin liquid and ferroquadrupole order2010

    • Author(s)
      S. Onoda
    • Organizer
      2nd APCTP-IACS Joint Conference : International Conference on Physics of Novel Oxide Materials
    • Place of Presentation
      APCTP, Pohang, Korea
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum melting of spin ice2009

    • Author(s)
      小野田繁樹
    • Organizer
      RIKEN Workshop on "Emergent Phenomena of Correlated Materials"
    • Place of Presentation
      和光
    • Year and Date
      2009-12-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chiral order and novel electromagnetic excitations in quasi-one-dimensional spin-1/2 multiferroics2009

    • Author(s)
      佐藤正寛
    • Organizer
      RIKEN Workshop on "Emergent Phenomena of Correlated Materials"
    • Place of Presentation
      和光
    • Year and Date
      2009-12-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Pr系パイロクロア型磁性体の有効理論2009

    • Author(s)
      田中洋一、小野田繁樹
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本
    • Year and Date
      2009-09-21
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] 「擬1次元らせん磁性体におけるスピン波理論:LiCu_2O_2への応用2009

    • Author(s)
      佐藤正寛
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本
    • Year and Date
      2009-09-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum melting of spin ice2009

    • Author(s)
      小野田繁樹
    • Organizer
      International Conference on Magnetism(ICM 2009)
    • Place of Presentation
      Karlsruhe
    • Year and Date
      2009-07-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chirality in Quantum Spin Liquid and Ice2009

    • Author(s)
      S. Onoda, S. Furukawa, Y. Tanaka, and M. Sato
    • Organizer
      Joint European Japanese Conference : Frustration in Condensed Matter
    • Place of Presentation
      Ecole Normale Superieure de Lyon
    • Year and Date
      2009-05-08
    • Related Report
      2011 Final Research Report
  • [Presentation] Chirality in quantum spin liquid and ice2009

    • Author(s)
      小野田繁樹
    • Organizer
      Joint European Japanese Conference : Frustration in Condensed Matter
    • Place of Presentation
      Lyon
    • Year and Date
      2009-05-08
    • Related Report
      2009 Annual Research Report
  • [Book] Foundations of Quantum Mechanics in the Light of New Technology(ISQM-Tokyo'08)Proceedings of the 9th International Symposium2009

    • Author(s)
      Shigeki Onoda
    • Publisher
      On scaling behaviors of anomalous Hall conductivity in disordered ferromagnets studied with the coherent potential approximation
    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.riken.jp/lab-www/cond-mat-theory/onoda/Pr2TM2O7_j.htm

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.riken.jp/lab-www/cond-mat-theory/onoda/index.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.riken.jp/lab-www/cond-mat-theory/onoda/Pr2TM2O7_j.htm

    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2020-05-15  

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