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2013 Fiscal Year Final Research Report

Phase of matter by geometrical phases: application for quantum liquids and graphene

Research Project

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Project/Area Number 23340112
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionUniversity of Tsukuba

Principal Investigator

YASUHIRO Hatsugai  筑波大学, 数理物質系, 教授 (80218495)

Co-Investigator(Kenkyū-buntansha) AOKI Hideo  東京大学, 大学院・理学系研究科, 教授 (50114351)
SHIMANO Ryo  東京大学, 大学院・理学系研究科, 准教授 (40262042)
KAWARABAYASHI Tohru  東邦大学, 理学部, 教授 (90251488)
Co-Investigator(Renkei-kenkyūsha) MARUYAMA Isao  福岡工業大学, 情報工学部, 准教授 (20422339)
OKA Takashi  東京大学, 大学院・工学系研究科, 講師 (50421847)
HAMAMOTO Yuji  筑波大学, 数理物質系, 助教 (30584734)
KARIYADO Toshikaze  筑波大学, 数理物質系, 助教 (60711281)
Project Period (FY) 2011-04-01 – 2014-03-31
Keywords量子液体 / グラフェン / ベリー接続 / テラヘルツ分光 / ファラデー回転
Research Abstract

Graphene is a typical quantum material where quantum interference plays an important role. Especially at the zero energy Landau level in a strong magnetic field, the chiral symmetry, which is a characteristic feature of graphene, is fundamental. However most of the theories do not include manybody effects until now. Here in this project, we have constructed a theory of the chiral condensate which is a manybody ground state of graphene with interaction. Then comparison of excitation gap with experiments is performed consistently. It implies validities of our theory. Also we have clarified the role of randomness with chiral symmetry.
Also Faraday rotation experiments with theoretical consideration has been performed. Then optical quantum Hall effects of graphene is successfully observed and established.

  • Research Products

    (36 results)

All 2014 2013 2012 2011 Other

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (21 results) (of which Invited: 21 results) Book (2 results) Remarks (2 results)

  • [Journal Article] Symmetry Protected Quantization and Bulk-Edge Correspondence of Massless Dirac Fermions : Application to Fermionic Shastry-Sutherland Model2013

    • Author(s)
      T. Kariyado and Y. Hatsugai
    • Journal Title

      Phys. Rev. B

      Volume: 88 Pages: 245126(7)

    • DOI

      10.1103/PhysRevB.88.245126

    • Peer Reviewed
  • [Journal Article] T. Fukui, K.-I. Imura and Y. Hatsugai2013

    • Author(s)
      T. Fukui, K.-I. Imura and Y. Hatsugai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82 Pages: 073708(5)

    • DOI

      10.7566/JPSJ.82.073708

    • Peer Reviewed
  • [Journal Article] Quantum Faraday and Kerr rotations in graphene2013

    • Author(s)
      R. Shimano, G. Yumoto, J. Y. Yoo, R. Matsunaga, S. Tanabe, H. Hibino, T.Morimoto and H. Aoki
    • Journal Title

      Nature Commun

      Volume: 4 Pages: 1841

    • DOI

      10.1038/ncomms2866

    • Peer Reviewed
  • [Journal Article] Magnetic field controlled vacuum charge in graphene quantum dots with a mass gap2013

    • Author(s)
      P.A. Maksym and H. Aoki
    • Journal Title

      Phys. Rev. B

      Volume: 88 Pages: 081406(R)(5)

    • DOI

      10.1103/PhysRevB.88.081406

    • Peer Reviewed
  • [Journal Article] Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene2013

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

      Phys. Rev. B

      Volume: 88 Pages: 195141(6)

    • DOI

      10.1103/PhysRevB.88.195141

    • 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

      日本物理学会会誌「解説」

      Volume: 68巻1号 Pages: 19-28

    • URL

      http://ci.nii.ac.jp/naid/110009586199

    • Peer Reviewed
  • [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 Pages: 035023(27)

    • DOI

      10.1088/1367-2630/15/3/035023

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

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

      Phys. Rev. B

      Volume: 85 Pages: 165410 (5)

    • DOI

      10.1103/PhysRevB.85.165410

    • 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. B

      Volume: 86 Pages: 205424 (6)

    • DOI

      10.1103/PhysRevB.86.205424

    • Peer Reviewed
  • [Journal Article] 光で見る量子ホール効果2011

    • Author(s)
      森本高裕, 池辺洋平, 島野亮, 青木秀夫
    • Journal Title

      日本物理学会誌

      Volume: 第66巻第5号 Pages: 365-370

    • URL

      http://ci.nii.ac.jp/naid/110008661942

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

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

      Euro. Phys. Lett

      Volume: 95 Pages: 20003(5)

    • DOI

      10.1209/0295-5075/95/20003

    • Peer Reviewed
  • [Presentation] Manipulating Dirac fermions - graphene nanomesh, dot and polarisation2014

    • Author(s)
      H. Aoki
    • Organizer
      Int. Focus Workshop on Recent Progress and Perspectives in Scaling, Multifractality, Interactions, and Topological Effects Near Anderson Transitions
    • Place of Presentation
      Dresden, Germany
    • Year and Date
      2014-03-11
    • Invited
  • [Presentation] テラヘルツ波が拓く量子物性科学2013

    • Author(s)
      島野 亮
    • Organizer
      応用物理学会・テラヘルツ電磁波技術研究会主催研究討論会 「新しいテラヘルツ科学が映し出すテラヘルツ応用の展望」
    • Place of Presentation
      名古屋大学, 名古屋
    • Year and Date
      2013-11-18
    • Invited
  • [Presentation] グラフェンのディラックコーンとゼロエネルギー局在状態2013

    • Author(s)
      初貝安弘
    • Organizer
      グラフェンナノデバイスの新しい展開
    • Place of Presentation
      AIST, Tsukuba, Japan
    • Year and Date
      2013-11-11
    • Invited
  • [Presentation] グラフェンの量子ファラデー効果 : 光に現れるトポロジカル量子現象2013

    • Author(s)
      島野 亮
    • Organizer
      物性研短期研究会「極限強磁場科学ー場, 物質, プローブのリンクから融合へ」
    • Place of Presentation
      東京大学物性研究所, 東京
    • Year and Date
      2013-10-31
    • Invited
  • [Presentation] How we can manipulate graphene --- chiral symmetry, topology and charged vacuum2013

    • Author(s)
      Hideo Aoki
    • Organizer
      ISSP Int. Symposium Emergent Quantum Phases in Condensed Matter
    • Place of Presentation
      Kashiwa
    • Year and Date
      2013-06-14
    • Invited
  • [Presentation] Symmetry, Berry connection and Bulk-edge correspondence2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      Emergent Quantum Phases in Condensed Matter, ISSP
    • Place of Presentation
      Kashiwa, Japan
    • Year and Date
      2013-06-05
    • Invited
  • [Presentation] Characterization of Topological Phases2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      The 317th MANA Special Seminar, NIMS
    • Place of Presentation
      Tsukuba, JAPAN
    • Year and Date
      2013-03-06
    • Invited
  • [Presentation] Symmetry protection in topological phases2013

    • Author(s)
      Y. Hatsugai
    • Organizer
      2013 EMN West Meeting on Topological Insulators
    • Place of Presentation
      Houston, USA
    • Year and Date
      2013-01-08
    • Invited
  • [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 (領域 11, 領域 01 合同)シンポジウム量子多体系におけるエンタングルメント
    • Place of Presentation
      横浜国立大学,横浜
    • Year and Date
      2012-09-19
    • Invited
  • [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
    • Invited
  • [Presentation] Terahertz magneto-optics of the integer quantum Hall effect in a GaAs two-dimensional electron gas system2012

    • Author(s)
      R.Shimano
    • Organizer
      The 20th International Conference on "High Magnetic Fields in Semiconductor Physics", HMF-20
    • Place of Presentation
      Chamonix Mont-Blanc, France
    • Year and Date
      2012-07-23
    • Invited
  • [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, USA
    • Year and Date
      2012-04-19
    • Invited
  • [Presentation] Terahertz magneto-optics in the quantum Hall system2012

    • Author(s)
      R. Shimano and Y. Ikebe
    • Organizer
      SPIE Photonics West, OPTO, Ultrafast Phenomena and Nanophotonics XVII
    • Place of Presentation
      San Francisco, California, USA
    • Year and Date
      2012-01-25
    • Invited
  • [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
    • Place of Presentation
      京都大学 基礎物理学研究所
    • Year and Date
      2011-11-17
    • Invited
  • [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 : Topological Insulators and Superconductors, Kavli Institute for Theoretical Physics, UCSB
    • Place of Presentation
      Santa Barbara, California, U.S.A.
    • Year and Date
      2011-11-03
    • Invited
  • [Presentation] Terahertz magneto-optics in the quantum Hall system2011

    • Author(s)
      R.Shimano
    • Organizer
      36th International Conference on Infrared, Millimeter, and Terahertz Waves(IRMMW-THz 2011) Houston
    • Place of Presentation
      Texas, USA
    • Year and Date
      2011-10-06
    • Invited
  • [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
      理論核領域, 素粒子領域合同シンポジウム 強相関物理の新展開 18pSJ-6 日本物理学会 2011年秋季大会(素粒子原子核)
    • Place of Presentation
      弘前大学, 青森
    • Year and Date
      2011-09-18
    • Invited
  • [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
    • Year and Date
      2011-08-22
    • Invited
  • [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
    • Year and Date
      2011-08-17
    • Invited
  • [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, Nanyang Executive center
    • Place of Presentation
      Nanyang Technology University, Singapore
    • Year and Date
      2011-08-06
    • Invited
  • [Presentation] Symmetry protected quantization of Berry phases and applications2011

    • Author(s)
      Y. Hatsugai
    • Organizer
      Workshop and School on Topological Aspects of Condensed Matter Physics, International Center for Theoretical Physics (ICTP)
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      2011-06-29
    • Invited
  • [Book] Graphene: Topological Properties, Chiral Symmetry and Their Manipulation in Physics of Graphene(edited by H. Aoki and M. S. Dresselhaus)2014

    • Author(s)
      Y. Hatsugai and H. Aoki(共著)
    • Total Pages
      350 (213-250)
  • [Book] パリティー2013 年11 月号:原子崩壊がグラフェンで現実に(翻訳)2013

    • Author(s)
      初貝 安弘(共著)
    • Total Pages
      80(28-30)
  • [Remarks]

    • URL

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

  • [Remarks]

    • URL

      http://rhodia.ph.tsukuba.ac.jp/~hatsugai/modules/pico/index.php?content_id=62

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Published: 2015-06-25  

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