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Topological quantum effects of electron systems in curved space-time

Research Project

Project/Area Number 23540461
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

TANAKA Akihiro  独立行政法人物質・材料研究機構, 理論計算科学ユニット, 主幹研究員 (10354143)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsトポロジカル絶縁体 / 量子スピン系 / ベリー位相 / 凝縮系の場の理論 / トポロジカル場の理論 / 対称性で保護されたトポロジカル相 / トポロジカル項 / 磁性体 / アクシオン場 / 渦糸 / 対称性に保護されたトポロジカル相 / ハルデーンギャップ相 / 非線形シグマ模型 / 位相欠陥 / 捩率 / 弾性理論 / アクシオン項 / 格子欠陥 / 重力的AB効果
Outline of Final Research Achievements

We showed through numerical and analytical methods how dislocations embedded within an topological insulator sustains a zero-energy mode. We also investigated the unique quantum effects, such as charge pumping with the use of the Witten effect, which arise in a topological phase of matter in the presence of an axion vortex. Finally, by invoking the functional integral representation of ground state wavefunctions, we showed how symmetry-protected-topological states can arise when the low-energy effective theory of a given system contains a surface topological term. We worked out how this scheme applies to 1d antiferromagnets under an applied magnetic field.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (41 results)

All 2015 2014 2013 2012 2011 Other

All Journal Article (8 results) (of which Peer Reviewed: 8 results,  Acknowledgement Compliant: 2 results,  Open Access: 2 results) Presentation (30 results) (of which Invited: 6 results) Remarks (3 results)

  • [Journal Article] Symmetry-protected topological order in magnetization plateau states of quantum spin chains2015

    • Author(s)
      Shintaro Takayoshi, Keisuke Totsuka and Akihiro Tanaka
    • Journal Title

      Physical Review B

      Volume: 91 Issue: 15 Pages: 1551361-12

    • DOI

      10.1103/physrevb.91.155136

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A short guide to topological terms in the effective theories of condensed matter2015

    • Author(s)
      Akihiro Tanaka and Shintaro Takayoshi
    • Journal Title

      Science and Technology of Advanced Materials

      Volume: 16 Issue: 1 Pages: 0144041-10

    • DOI

      10.1088/1468-6996/16/1/014404

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Focus on materials science of topological insulators and superconductors2015

    • Author(s)
      Akihiro Tanaka and Taizo Sasaki
    • Journal Title

      Science and Technology of Advanced Materials

      Volume: 16 Issue: 1 Pages: 0103011-2

    • DOI

      10.1088/1468-6996/16/1/010301

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topological insulator and "nanotubes"2012

    • Author(s)
      K.-I. Imura, T. Takane, A. Tanaka
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 400 Issue: 4 Pages: 042021-042021

    • DOI

      10.1088/1742-6596/400/4/042021

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Photoinduced spin Chern number change in a two-dimensional quantum spin Hall insulator with broken spin rotational symmetry2012

    • Author(s)
      Jun-ichi Inoue, Akihiro Tanaka
    • Journal Title

      Physical Review B

      Volume: 85 Issue: 12

    • DOI

      10.1103/physrevb.85.125425

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spin Berry phase in anisotropic topological insulators2011

    • Author(s)
      K.-I. Imura, Y. Takane, and A. Tanaka
    • Journal Title

      Phys. Rev

      Volume: 84 Issue: 19

    • DOI

      10.1103/physrevb.84.195406

    • NAID

      120005198252

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weak topological insulator with protected gapless helical states2011

    • Author(s)
      K.-I. Imura, Y. Takane, and A. Tanaka
    • Journal Title

      Phys. Rev

      Volume: 84 Issue: 3

    • DOI

      10.1103/physrevb.84.035443

    • NAID

      120005198245

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Duality among competing orders in antiferromagnets and topological insulators : nonlinear sigma model approach2011

    • Author(s)
      Akihiro Tanaka
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 320 Pages: 012020-012020

    • DOI

      10.1088/1742-6596/320/1/012020

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 磁化プラトーにおける対称性に保護されたトポロジカル相の場の理論2015

    • Author(s)
      高吉慎太郎、田中秋広
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] Symmetry protected topological states in antiferromagnets with magnetic field2015

    • Author(s)
      Shintaro Takayoshi and Akihiro Tanaka
    • Organizer
      American Physical Society March Meeting
    • Place of Presentation
      Gonzalez Convention Center,San Antonio
    • Year and Date
      2015-03-02 – 2015-03-06
    • Related Report
      2014 Annual Research Report
  • [Presentation] Symmetry protected states in antiferromagnets-role of edge states2014

    • Author(s)
      Akihiro Tanaka
    • Organizer
      New topological phenomenn in condensed matter physics
    • Place of Presentation
      NIMS MANA棟
    • Year and Date
      2014-11-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 対称性に保護されたトポロジカル相-四元数非線形シグマ模型からのアプローチ2014

    • Author(s)
      田中秋広
    • Organizer
      理研セミナー
    • Place of Presentation
      理化学研究所 和光事業所 研究本館
    • Year and Date
      2014-10-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 四元数非線形シグマ模型のトポロジカル項とSPT相2014

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] シンポジウム:対称性に保護されたトポロジカル相とエンタングルメント-はじめに2014

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 凝縮系のトポロジカル物質相におけるアクシオンの創発とその物性2014

    • Author(s)
      田中秋広、菊池徹、新田宗土
    • Organizer
      基研研究会 凝縮系及び量子気体系におけるヒッグス・モード
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2014-06-23 – 2014-06-25
    • Related Report
      2014 Annual Research Report
  • [Presentation] 磁性体における対称性によって保護されたトポロジカル相の場の理論2014

    • Author(s)
      高吉慎太郎、田中秋広
    • Organizer
      FIRST International Symposium on Topological Quantum Technology
    • Place of Presentation
      東京大学本郷キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Dynamics of Axion Vortices inTopological States of Matter -Analogy with Superfluids2014

    • Author(s)
      Akihiro Tanaka, Toru Kikuchi and Muneto Nitta
    • Organizer
      2014 March Meeting of the American Physical Society
    • Place of Presentation
      Colorado Convention Center,Denver CO, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] トポロジカル物質相における渦糸の受けるマグナス力-超流動相との比較2014

    • Author(s)
      田中秋広、菊池徹、新田宗土
    • Organizer
      日本物理学会第61回年次大会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] アクシオン渦系のダイナミクス2014

    • Author(s)
      菊池徹、新田宗土、田中秋広
    • Organizer
      日本物理学会第61回年次大会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] 対称性で保護されたトポロジカル相の場の理論による解析2014

    • Author(s)
      高吉慎太郎、田中秋広、新田宗土
    • Organizer
      日本物理学会第61回年次大会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] 固体のトポロジカルな性質の光学的な操作2013

    • Author(s)
      田中秋広
    • Organizer
      先端物質科学セミナー
    • Place of Presentation
      広島大学大学院先端物質科学研究科
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 欠陥が誘起するトポロジカル相-ベリー位相からのアプローチ2013

    • Author(s)
      田中秋広、菊池徹、井村健一郎
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学常三島キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] トポロジカルな物質相における渦糸欠陥の運動2013

    • Author(s)
      菊池徹、新田宗土、田中秋広
    • Organizer
      新学術領域「トポロジカル量子現象」第4回領域研究会
    • Place of Presentation
      名古屋大学 東山キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] スピン系における対称性で保護された状態への場の理論的アプローチ2013

    • Author(s)
      高吉慎太郎、田中秋広
    • Organizer
      新学術領域「トポロジカル量子現象」第4回領域研究会
    • Place of Presentation
      名古屋大学 東山キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Optical steering of topological propertie of solids2013

    • Author(s)
      Akihiro Tanaka
    • Organizer
      Postech IES special seminar
    • Place of Presentation
      Postech, Korea
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Dislocation induced electronic states in topological insulators and related systems2013

    • Author(s)
      Akihiro Tanaka
    • Organizer
      Postech IES special seminar
    • Place of Presentation
      Postech, Korea
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Massless axions: the Callan-Harvey effect revisted2013

    • Author(s)
      T. Kikuchi and A. Tanaka
    • Organizer
      2013American Physical Society Meeting
    • Place of Presentation
      Baltimore, USA
    • Related Report
      2012 Research-status Report
  • [Presentation] Dislocations in topological phases of matter and their topological terms2013

    • Author(s)
      A. Tanaka and T. Kikuchi
    • Organizer
      2013American Physical Society Meeting
    • Place of Presentation
      Baltimore, USA
    • Related Report
      2012 Research-status Report
  • [Presentation] トポロジカル絶縁体におけるアクシオン渦の電磁応答2013

    • Author(s)
      菊池徹、田中秋広
    • Organizer
      日本物理学会 春季大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Axion strings in topological insulators/spin systems2012

    • Author(s)
      Akihiro Tanaka
    • Organizer
      International conference on topological quantum phenomena
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
  • [Presentation] トポロジカル絶縁体のトポロジカル場の理論2012

    • Author(s)
      田中秋広
    • Organizer
      トポロジカル量子第8回集中連携研究会
    • Place of Presentation
      東京大学理学部
    • Related Report
      2012 Research-status Report
  • [Presentation] 欠陥のあるトポロジカル相と非線形シグマ模型の対応2012

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] トポロジカル場の理論による凝縮系の新規量子現象の探索2012

    • Author(s)
      田中秋広
    • Organizer
      トポロジカル量子公募研究最終年度報告会
    • Place of Presentation
      大阪市 ユーズ・ツウ 会議室F
    • Related Report
      2012 Research-status Report
  • [Presentation] Axion strings in topological insulators and quantum spin systems2012

    • Author(s)
      Akihiro Tanaka
    • Organizer
      March Meeting 2012 of the American Physical Society
    • Place of Presentation
      Boston Convention Center(Boston, USA)
    • Related Report
      2011 Research-status Report
  • [Presentation] トポロジカル絶縁体・量子スピン系におけるaxion string2012

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス(西宮)
    • Related Report
      2011 Research-status Report
  • [Presentation] トポロジカル絶縁体・量子スピン系におけるアクシオン・ストリング2011

    • Author(s)
      田中秋広
    • Organizer
      新学術領域「トポロジカル量子現象」第二回領域研究会
    • Place of Presentation
      岡山大学創立50周年記念館(岡山)
    • Related Report
      2011 Research-status Report
  • [Presentation] トポロジカル量子効果による機能デザイン2011

    • Author(s)
      田中秋広
    • Organizer
      NIMS-AIST(NRI)計測・計算シミュレーション合同ワークショップ
    • Place of Presentation
      産業技術総合研究所共用講堂(つくば)
    • Related Report
      2011 Research-status Report
  • [Presentation] トポロジカル絶縁体-結晶の時空変形の効果2011

    • Author(s)
      田中秋広
    • Organizer
      日本物理学会2011年秋期大会(招待講演)
    • Place of Presentation
      富山大学五福キャンパス(富山 )
    • Related Report
      2011 Research-status Report
  • [Remarks] NIMS Researcher database SAMURAI

    • URL

      http://samurai.nims.go.jp/TANAKA_Akihiro-e.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] NIMS Reseacher Database SAMURAI

    • URL

      http://samurai.nims.go.jp/TANAKA_Akihiro-j.html

    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://samurai.nims.go.jp/TANAKA_Akihiro-j.html

    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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