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2012 Fiscal Year Final Research Report

Quaternionic Berry connection by the Kramers multiplet and physical applications

Research Project

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Project/Area Number 23654128
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionUniversity of Tsukuba

Principal Investigator

HATSUGAI Yasuhiro  筑波大学, 数理物質系, 教授 (80218495)

Project Period (FY) 2011 – 2012
Keywords時間反転対称性 / 四元数 / 幾何学的位相 / ベリー位相 / トポロジカル秩序
Research Abstract

Recently a theory of the Berry connection of the Kramers multiplet with the time-reversal symmetry is formulated by Hatsugai. The present project is to develop this embryonic research area and to pursue the use of quaternionic Berry connections to define topological order parameters. The basic idea is applied for pyrochlore/Kagome lattice systems with Sp(1) gauge symmetry as a series of models in any dimensions. Further their topological characters are clarified.

  • Research Products

    (30 results)

All 2013 2012 2011 Other

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (17 results) Remarks (2 results)

  • [Journal Article] Chiral symmetry and its manifestation in optical responses in graphene: interaction and multi-layers2013

    • Author(s)
      Y. Hatsugai, T. Morimoto, T. Kawarabayashi, Y. Hamamoto and H. Aoki
    • Journal Title

      New J. Phys

      Volume: 15

    • DOI

      doi:10.1088/1367-2630/15/3/035023

    • Peer Reviewed
  • [Journal Article] トポロジカル秩序とベリー接続2013

    • Author(s)
      初貝安弘
    • Journal Title

      日本物理学会誌「解説」

      Volume: 68

    • Peer Reviewed
  • [Journal Article] Chiral condensate with topological degeneracy in graphene and its manifestation in edge states2012

    • Author(s)
      Y. Hamamoto, H. Aoki, and Y. Hatsugai
    • Journal Title

      Phys. Rev

      Volume: 86

    • Peer Reviewed
  • [Journal Article] Topologically protected Landau levels in bilayer graphene in finite electric fields2012

    • Author(s)
      T. Kawarabayashi, Y. Hatsugai, H. Aoki
    • Journal Title

      Phys. Rev

      Volume: 85

    • DOI

      doi:10.1103/PhysRevB.86.205424

    • Peer Reviewed
  • [Journal Article] Generalization of chiral symmetry for tilted Dirac cones2012

    • Author(s)
      T. Kawarabayashi, Y. Hatsugai, T. Morimoto andH. Aoki
    • Journal Title

      Int. J. Mod. Phys

      Pages: 145-150

    • DOI

      doi:10.1142/S2010194512006046

    • Peer Reviewed
  • [Journal Article] ZQ Topological Invariants for Polyacetylene Kagome and Pyrochlore lattices2011

    • Author(s)
      Y. Hatsugai, I. Maruyama
    • Journal Title

      Euro. Phys. Lett

      Volume: 95

    • DOI

      doi:10.1209/0295-5075/95/20003

    • Peer Reviewed
  • [Journal Article] Z2 topological number of local quantum clusters in the orthogonal dimer model2011

    • Author(s)
      I. Maruyama, S. Tanaya, M. Arikaw, Y. Hatsugai
    • Journal Title

      J. Phys.: Conf. Ser

      Volume: 320

    • DOI

      doi:10.1088/1742-6596/320/1/012019

    • Peer Reviewed
  • [Journal Article] Manipulation of the Dirac cones and the anomaly in the graphene related quantum Hall effect2011

    • Author(s)
      H. Watanabe, Y Hatsugai, H Aoki
    • Journal Title

      J. Phys.: Conf. Ser

      Volume: 334

    • DOI

      doi:10.1088/1742-6596/334/1/012044

    • Peer Reviewed
  • [Journal Article] Edge states in graphene quantum Hall system with bond vs potential disorder2011

    • Author(s)
      M. Arikawa, H. Aoki, Y. Hatsugai
    • Journal Title

      J. Phys.: Conf. Ser

      Volume: 334

    • DOI

      doi:10.1088/1742-6596/334/1/012043

    • Peer Reviewed
  • [Journal Article] Numerical study of electronic structure under uniform magnetic field and quantized Hall conductancefor multi-band tight-binding models2011

    • Author(s)
      M. Arai and Y. Hatsugai
    • Journal Title

      Phys.: Conf. Ser.

      Volume: 334

    • DOI

      doi:10.1088/1742-6596/334/1/012042

    • Peer Reviewed
  • [Journal Article] Wave packet dynamics in the spin torque transfer2011

    • Author(s)
      M. Arikawa, Y. Hatsugai, T. Endoh, K. Shiraishi
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 81

    • DOI

      doi:10.1143/JPSJ.81.044706

    • Peer Reviewed
  • [Presentation] Characterization of Topological Phases2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      Special lecture at MANA
    • Place of Presentation
      Tsukuba, JAPAN(招待講演)
    • Year and Date
      2013-03-06
  • [Presentation] Topological phases and bulk-edge correspondence2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      The 317th MANA Special Seminar
    • Place of Presentation
      Tsukuba, JAPAN.(招待講演)
    • Year and Date
      2013-03-06
  • [Presentation] Symmetry and order parameters for topological phases2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      Seminar at M. Ueda Group, Univ. Tokyo
    • Place of Presentation
      Tokyo, JAPAN(招待講演)
    • Year and Date
      2013-01-24
  • [Presentation] Symmetry protection in topological phases2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      2013 EMN West Meeting on Topological Insulators
    • Place of Presentation
      Houston, U.S.A.
    • Year and Date
      2013-01-08
  • [Presentation] Fun of graphene for physicists2012

    • Author(s)
      Y. Hatsugai
    • Organizer
      4-th Tsukuba-Hsinchu Joint symposium on Interdisciplinary Nano-Science an Technology
    • Place of Presentation
      Tsukuba, JAPAN.
    • Year and Date
      2012-12-18
  • [Presentation] ベリー接続とエンタングルメント2012

    • Author(s)
      初貝 安弘
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学,横浜
    • Year and Date
      2012-09-19
  • [Presentation] Berry connection and bulk-edge correspondence in topological phases2012

    • Author(s)
      Y. Hatsugai
    • Organizer
      36-th International conference of theoretical physics:correlation and coherence at different scales
    • Place of Presentation
      Ustron, Poland
    • Year and Date
      2012-09-15
  • [Presentation] Chiral symmetry and topology in graphene2012

    • Author(s)
      Y. Hatsugai
    • Place of Presentation
      NIMS, Tsukuba, JAPAN
    • Year and Date
      2012-08-29
  • [Presentation] バルクエッジ対応の物理2012

    • Author(s)
      初貝 安弘
    • Organizer
      広島大学大学院集中講義
    • Place of Presentation
      広島大学
    • Year and Date
      2012-06-27
  • [Presentation] Bulk-Edge Correspondence in Condensed Matter and Its Application2012

    • Author(s)
      Y. Hatsugai
    • Organizer
      2012 Villa Conference on Topological Insulators
    • Place of Presentation
      Orlando, U.S.A..
    • Year and Date
      2012-04-19
  • [Presentation] Symmetry, Dirac cones and Berry connections for frustrated fermions2011

    • Author(s)
      Y. Hatsugai
    • Organizer
      26th Nishinomiya-Yukawa Memorial International Workshop"Novel Quantum States in Condensed Matter 2011(NQS2011)
    • Place of Presentation
      京都大学 基礎物理学研究所, 京都市
    • Year and Date
      2011-11-17
  • [Presentation] Quantized Berry phases for characterization of short range entangled states in d-dimensions2011

    • Author(s)
      Y. Hatsugai
    • Organizer
      Kavli Institute for Theoretical Physics program : TopologicalInsulators and Superconductors(招待講演)
    • Place of Presentation
      KITP-UCSB, Santa Barbara, U.S.A.
    • Year and Date
      2011-11-03
  • [Presentation] グラフェンにおけるカイラル対称性と電子相関2011

    • Author(s)
      初貝 安弘
    • Organizer
      日本物理学会 2011年秋季大会
    • Place of Presentation
      弘前大学, 弘前市
    • Year and Date
      2011-09-18
  • [Presentation] グラフェンの特異な物性とカイラル対称性2011

    • Author(s)
      初貝 安弘
    • Organizer
      京都大学基礎物理学研究所 研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学 基礎物理学研究所、京都市
    • Year and Date
      2011-08-22
  • [Presentation] 時間反転対称性とトポロジカル絶縁体のエッジ状態:バルクエッジ対応の物理2011

    • Author(s)
      初貝 安弘
    • Organizer
      平成23年度 第10回 飯綱・サイエンスサマー道場
    • Place of Presentation
      ホテルアルカディア 飯綱高原、長野(招待講演)
    • Year and Date
      2011-08-17
  • [Presentation] Use of Berry connections in condensed matter physics and the bulk-edge correspondence2011

    • Author(s)
      Y. Hatsugai
    • Organizer
      Workshop on Emergence in Field Theory
    • Place of Presentation
      Nanyang Executive center, Nanyang Technology University, Singapore.
    • Year and Date
      2011-08-06
  • [Presentation] Symmetry protected quantization of Berry phases and applications2011

    • Author(s)
      Y. Hatsugai
    • Organizer
      Workshop and School on Topological Aspects of CondensedMatter Physics(招待講演)
    • Place of Presentation
      International Center for Theoretical Physics (ICTP) Trieste, Italy.
    • Year and Date
      2011-06-29
  • [Remarks]

    • URL

      http://rhodia.ph.tsukuba.ac.jp/~hatsugai

  • [Remarks]

    • URL

      http://rhodia.ph.tsukuba.ac.jp/~hatsugai/modules/pico/?ml_lang=en

URL: 

Published: 2014-09-25  

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