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Quantum criticality via Berry Phase effects

Research Project

Project/Area Number 20540383
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionNational Institute for Materials Science

Principal Investigator

TANAKA Akihiro  National Institute for Materials Science, 環境・エネルギー材料萌芽ラボ, 主幹研究員 (10354143)

Co-Investigator(Kenkyū-buntansha) KOHNO MASANORI  独立行政法人物質・材料研究機構, ナノアーキテクトニクス研究拠点, MANA研究者 (40370308)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsベリー位相 / 量子相転移 / 量子位相干渉 / 量子スピン系 / トポロジカル絶縁体 / フローケの方法 / 捩率 / リーマン・カルタン時空 / 量子スピンホール効果 / 量子熱ホール効果 / チャーン・サイモンズ項 / 重力量子異常 / バレー量子ホール効果 / ベリー位相効果 / 分数量子化 / トポロジカル秩序 / スピン液体 / ゲージ対称性 / グラフェン由来物質 / 量子ホール効果 / スピン量子ホール効果
Research Abstract

When Berry phase terms enter the low energy effective theory of a many body system, the quantum interference that it induces can alter completely the various statistical mechanical properties. Of special interest is the change in the quantum critical behavior that such terms can be bring about. We have made detailed analysis on the latter aspect for several sytems, among which are antiferromagnets in an applied magnetic field, and topological insulators.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (57 results)

All 2011 2010 2009 2008

All Journal Article (12 results) (of which Peer Reviewed: 11 results) Presentation (39 results) Book (6 results)

  • [Journal Article] Duality among competing orders in antiferromagnets and topological insulators : nonlinear sigma model approach2011

    • Author(s)
      A.Tanaka
    • Journal Title

      accepted for publication in J.Phys.: Conference Proceeding

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Photoinduced transition between topological and conventional insulators in two-dimensional electronic systems2010

    • Author(s)
      J.Inoue, A.Tanaka
    • Journal Title

      Phys.Rev.Lett. 105

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems2010

    • Author(s)
      井上純一
    • Journal Title

      Physical Review Letters

      Volume: 105

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] グラフェン様絶縁体におけるトポロジカルな電荷・スピン・熱応答2010

    • Author(s)
      田中秋広
    • Journal Title

      物性研だより 49

      Pages: 45-45

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Geometric phases and the magnetization process in quantum antiferromagnet2009

    • Author(s)
      A.Tanaka, K.Totsuka, X.Hu
    • Journal Title

      Phys.Rev.B 79

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamically dominant excitations of string solutions inthe spin-1/2 AF Heisenberg chain in a magnetic field2009

    • Author(s)
      M.Kohno
    • Journal Title

      Phys.Rev.Lett. 102

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometric phases and the magnetization process in quantum antiferromagnets2009

    • Author(s)
      A. Tanaka, K. Totsuka, X. Hu
    • Journal Title

      Physical Review B 79

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamically dominant excitations of string solutions in the spin-1/2 AF Heisenberg chain in a magnetic field2009

    • Author(s)
      M. Kohno
    • Journal Title

      Physical Review Letters 102

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical properties of spatially anisotropic frustrate-ed Heisenberg models in a magnetic field2009

    • Author(s)
      M. Kohno, L. Balents, O. A. Starykh
    • Journal Title

      Journal of Physics : Conference Series 145

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bound states of spinons in spatially anisotropic frustrated XXZ models in the Ising limit2009

    • Author(s)
      M. Kohno
    • Journal Title

      Journal of Physics : Conference Series 150

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 量子多体系-Emergentな物質世界散策のための文献案内2008

    • Author(s)
      田中秋広
    • Journal Title

      日本物理学会誌 63

      Pages: 882-883

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] 量子多体系-Emergent な物質世界散策のための文献案内2008

    • Author(s)
      田中秋広
    • Journal Title

      日本物理学会誌 63

      Pages: 882-883

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Polyakovスピン因子の量子スピン系・トポロジカル絶縁体への応用2011

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学五十嵐キャンパス(新潟市)
    • Year and Date
      2011-03-27
    • Related Report
      2010 Final Research Report
  • [Presentation] Polyakovスピン因子の量子スピン系・トポロジカル絶縁体への応用2011

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学五十嵐キャンパス(新潟県)
    • Year and Date
      2011-03-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] An approach to studying the duality among competing orders in antiferromagnets and topological insulators2011

    • Author(s)
      A.Tanaka
    • Organizer
      International Conference on Frustration in Magnets (ICFM2011)
    • Place of Presentation
      仙台国際センター(宮城県)
    • Year and Date
      2011-01-12
    • Related Report
      2010 Final Research Report
  • [Presentation] An approach to studying the duality among competing orders in antiferromagnets and topological insulators2011

    • Author(s)
      田中秋広
    • Organizer
      International Conference on Frustration in Condensed Matters
    • Place of Presentation
      仙台国際センター(宮城県)
    • Year and Date
      2011-01-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] トポロジカル場の理論が予測するトポロジカル量子現象2010

    • Author(s)
      田中秋広
    • Organizer
      新学術領域「トポロジカル量子」第一回領域研究会
    • Place of Presentation
      京都大学100周年時計台記念館(京都府)
    • Year and Date
      2010-12-19
    • Related Report
      2010 Final Research Report
  • [Presentation] トポロジカル場の理論が予測するトポロジカル量子現象2010

    • Author(s)
      田中秋広
    • Organizer
      対称性の破れた凝縮系におけるトポロジカル量子効果
    • Place of Presentation
      京都大学百周年時計台記念館(京都府)
    • Year and Date
      2010-12-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] 捩率を含むトポロジカル場の理論とトポロジカル絶縁体2010

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学中百舌鳥キャンパス(大阪府)
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] フラストレート磁性体のトポロジカル応答と重力量子異常2010

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学津島キャンパス(岡山県)
    • Year and Date
      2010-03-21
    • Related Report
      2010 Final Research Report
  • [Presentation] フラストレート磁性体のトポロジカル応答と重力量子異常2010

    • Author(s)
      田中秋広
    • Organizer
      物性研短期研究会-ディラック電子系の物性
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Gauge and gravitational anomalies in graphene-related system2010

    • Author(s)
      A.Tanaka
    • Organizer
      IPMU Focus Week : Condensed Matter meets High Energy Physics
    • Place of Presentation
      数物連携宇宙研究機構(千葉県)
    • Year and Date
      2010-02-12
    • Related Report
      2010 Final Research Report
  • [Presentation] Gauge and gravitational anomalies in graphene-related systems2010

    • Author(s)
      田中秋広
    • Organizer
      IPMU Focus Week : Condensed Matter meets High Energy Physics
    • Place of Presentation
      数物連携宇宙研究機構(千葉県)
    • Year and Date
      2010-02-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] フラストレート磁性体のトポロジカル応答と重力量子異常2010

    • Author(s)
      田中秋広
    • Organizer
      特定領域研究「フラストレーションが創る新しい物性」平成21年度成果報告会
    • Place of Presentation
      京大基礎物理学研究所(京都府)
    • Year and Date
      2010-01-07
    • Related Report
      2010 Final Research Report
  • [Presentation] フラストレート磁性体のトポロジカル応答とゲージ・重力量子異常2010

    • Author(s)
      田中秋広
    • Organizer
      特定領域研究「フラストレーションが創る新しい物性」平成21年度成果報告会
    • Place of Presentation
      京大基礎物理学研究所(京都府)
    • Year and Date
      2010-01-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Manifestation of gauge/gravitational anomalies in graphene-derived insulators2009

    • Author(s)
      A.Tanaka
    • Organizer
      RIKEN Workshop on Emergent Phenomena of Correlated Materials
    • Place of Presentation
      理化学研究所(埼玉県)
    • Year and Date
      2009-12-02
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] グラフェン様絶縁体におけるトポロジカルな電荷・スピン・熱応答2009

    • Author(s)
      田中秋広
    • Organizer
      茨城大学物理学科コロキウム
    • Place of Presentation
      茨城大学理学部(茨城県)
    • Year and Date
      2009-11-20
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] グラフェン様絶縁体におけるトポロジカルな電荷・スピン・熱応答2009

    • Author(s)
      田中秋広
    • Organizer
      物性研短期研究会-ディラック電子系の物性
    • Place of Presentation
      東大物性研究所(千葉県)
    • Year and Date
      2009-10-22
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] グラフェン様絶縁体における重力アノマリー2009

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学黒髪キャンパス(熊本県)
    • Year and Date
      2009-09-25
    • Related Report
      2010 Final Research Report
  • [Presentation] グラフェン様絶縁体における重力アノマリー2009

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 曲ったグラフェン関連物質における交差パリティー異常2009

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学池袋キャンパス(東京都)
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report
  • [Presentation] 曲ったグラフェン関連物質における交差パリティー異常2009

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学、東京都
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 異方的三角格子反強磁性体における磁場中での粒子描象の変化2009

    • Author(s)
      河野昌仙
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学、東京都
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Chiral structure and mixed parity anomaly in graphene-related systems2009

    • Author(s)
      A.Tanaka
    • Organizer
      2009 March Meeting of the American Physical Society
    • Place of Presentation
      Lawrence Convention Center, Pittsburgh, U.S.A
    • Year and Date
      2009-03-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Chiral structure and mixed parity anomaly in graphene-related systems2009

    • Author(s)
      Akihiro Tanaka
    • Organizer
      2009 March Meeting of the American Physical Society
    • Place of Presentation
      Lawrence Convention Center Pittsburgh (アメリカ)
    • Year and Date
      2009-03-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dynamically dominant excitations of string solutions in the AF Heisenberg chain in magnetic fields2009

    • Author(s)
      Masanori Kohno
    • Organizer
      2009 March meeting of the Americal Physical Society
    • Place of Presentation
      Lawrence Convention Center Pittsburgh (アメリカ)
    • Year and Date
      2009-03-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quasiparticles in anisotropic triangular antiferromagnets2009

    • Author(s)
      Masanori Kohno
    • Organizer
      MANA international symposium 2009
    • Place of Presentation
      つくば国際会議場つくば市
    • Year and Date
      2009-02-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] 異方的三角格子反強磁性体における磁場中での粒子2009

    • Author(s)
      河野昌仙
    • Organizer
      特定領域研究「フラストレーションが創る新しい物性」平成20年度領域成果報告会
    • Place of Presentation
      東京大学物性研究所柏市
    • Year and Date
      2009-01-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 異方的三角格子反強磁性体における磁場中での粒子描像の変化2008

    • Author(s)
      河野昌仙
    • Organizer
      第3回トピカルミーティング「フラストレーションとスピン液体」
    • Place of Presentation
      神戸大学、神戸市
    • Year and Date
      2008-12-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] 磁場中で現れるハイゼンベルグ鎖の隠れた励起2008

    • Author(s)
      河野昌仙
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学、盛岡市
    • Year and Date
      2008-09-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] 強磁場下スピン系におけるZ_2ゲージ理論とfractionalization2008

    • Author(s)
      戸塚圭介, 他
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学(岩手県)
    • Year and Date
      2008-09-20
    • Related Report
      2010 Final Research Report
  • [Presentation] グラフェンにおけるCallan-Harvey効果2008

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学(岩手県)
    • Year and Date
      2008-09-20
    • Related Report
      2010 Final Research Report
  • [Presentation] グラフェンにおける Callan-Harvey 効果2008

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2008年秋期大会
    • Place of Presentation
      岩手大学、盛岡市
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 強磁場下スピン系におけるZ_2ゲージ理論と fractionalization2008

    • Author(s)
      戸塚圭介, 田中秋広
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学、盛岡市
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dynamical properties of spatially anisotropic frustrated Heisenberg model in a magnetic field2008

    • Author(s)
      Masanori Kohno
    • Organizer
      Highly Frustrated Magnetism 2008
    • Place of Presentation
      Technische Universitat Carolo-Wilhelmina zu Braunschweig, Braunschweig (ドイツ)
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bound states of spinons in spatially anisotropic frustrated XXZ models in the Ising limit2008

    • Author(s)
      RA Masanori Kohno
    • Organizer
      25-th International conference on low temperature physics
    • Place of Presentation
      RAI Conference Center, Amsterdam (オランダ)
    • Year and Date
      2008-08-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Effective Hamiltonian approach for dynamical properties of spatially anisotropic frustrated antiferromagnets2008

    • Author(s)
      Masanori Kohno
    • Organizer
      WMRIF workshop for young scientists
    • Place of Presentation
      物質・材料研究機構、つくば市
    • Year and Date
      2008-07-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Magnetization of quantum antiferromagnets-role of geometric phases2008

    • Author(s)
      A.Tanaka
    • Organizer
      Ninth Taiwan international symposium on Statistical Physics
    • Place of Presentation
      Academia Sinica, Taipei(台湾)
    • Year and Date
      2008-07-08
    • Related Report
      2010 Final Research Report
  • [Presentation] Magnetization of quantum antiferromagnets-role of geometric phases2008

    • Author(s)
      A. Tanaka
    • Organizer
      The 9th Taiwan international symposium on statistical physics
    • Place of Presentation
      Academia Sinica, Taipei (台湾)
    • Year and Date
      2008-07-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Vortex Berry phase theory of antiferromagnets in a magnetic field2008

    • Author(s)
      A.Tanaka, 他
    • Organizer
      Topological aspects of solid state Physics
    • Place of Presentation
      京都大学基礎物理学研究所、京都市
    • Year and Date
      2008-06-23
    • Related Report
      2010 Final Research Report
  • [Presentation] Vortex Berry phase theory of antiferromagnets in a magnetic field2008

    • Author(s)
      A. Tanaka, K. Totsuka
    • Organizer
      Topological aspects of solid state physics
    • Place of Presentation
      京都大学基礎物理学研究所、京都市
    • Year and Date
      2008-06-23
    • Related Report
      2008 Annual Research Report
  • [Book] 縮系物理における場の理論(下)(275ページ)2010

    • Author(s)
      新井正男, ほか共訳
    • Publisher
      吉岡書店
    • Related Report
      2010 Final Research Report
  • [Book] 縮系物理における場の理論(下)(289ページ)2010

    • Author(s)
      新井正男, ほか共訳
    • Publisher
      吉岡書店
    • Related Report
      2010 Final Research Report
  • [Book] 縮系物理における場の理論(下)(260ページ)2010

    • Author(s)
      新井正男, ほか共訳
    • Publisher
      吉岡書店
    • Related Report
      2010 Final Research Report
  • [Book] 凝縮系物理における場の理論(下)2010

    • Author(s)
      新井正男, (ほか5名共訳)
    • Publisher
      吉岡書店
    • Related Report
      2010 Annual Research Report
  • [Book] 凝縮系物理における場の理論(中)2010

    • Author(s)
      新井正男, (ほか5名共訳)
    • Total Pages
      289
    • Publisher
      吉岡書店
    • Related Report
      2009 Annual Research Report
  • [Book] 凝縮系物理における場の理論(上)2009

    • Author(s)
      新井正男, (ほか5名共訳)
    • Total Pages
      260
    • Publisher
      吉岡書店
    • Related Report
      2009 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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