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量子液体におけるバルク―エッジ対応とエンタングルメントエントロピー

Research Project

Project/Area Number 20654034
Research Category

Grant-in-Aid for Challenging Exploratory Research

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

Principal Investigator

初貝 安弘  University of Tsukuba, 大学院・数理物質科学研究科, 教授 (80218495)

Co-Investigator(Kenkyū-buntansha) 丸山 勲  大阪大学, 基礎工学研究科, 特任助教 (20422339)
有川 晃弘  筑波大学, 大学院・数理物質科学研究科, 研究員 (60402814)
Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2008: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywordsエンタングルメントエントロピー / スピン液体 / ベリー位相 / トポロジカル秩序 / Z_2ベリー位相 / 対称性の破れ / 量子液体 / 量子相転移 / エンタングルメント / エントロピー / エッジ状態 / バルクエッジ対応 / グラフェン / スピ液体
Research Abstract

「量子液体相」をその基底状態とすると考えられる種々の物理系をとりあげ、その基底状態を数値的に厳密対角化の手法でもとめ、後述の手法でエンタングルメントエントロピーを評価することで、量子液体相の特徴付けを行った。
具体的手続きとしては種々の量子液体相をその基底状態とする模型ハミルトニアンを用い、多粒子状態の基底状態を数値的に求める。その際物理系を2つに何らかの意味で分割しておく。よってその基底状態は部分系での基底を用いて展開される。これから基底状態の密度行列(純粋状態)を標準的に定義し、それを部分系の1つの部分系について縮約することで密度行列をもとめる。すると一般にこれは混合状態にありその量子論的エントロピーとしてエンタングルメントエントロピーをもってエンタングルメントエントロピーとする。この手続きを種々の量子液体相に対して数値的手法をもちいつつ適用し、対称性の破れを伴わない量子相の特徴付けの一般論を構築した。
具体的に対象とした物理系は以下のものである。(1)スピンホール系(いわゆるKene-Mele模型とその拡張)(2)フラストレートしたスピン系、リング交換模型、パイロクロア格子(3)整数スピン鎖、一般化されたVBS(Valence Bond Solid)状態(4)ダイマー模型(5)グラフェン
また、本年度は研究最終年であることに留意し、研究の総括を行いつつ、国際会議、論文投稿等研究の公表、公開等の情報発信を精力的に行った。

Report

(2 results)
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (75 results)

All 2010 2009 2008 Other

All Journal Article (24 results) (of which Peer Reviewed: 22 results) Presentation (50 results) Remarks (1 results)

  • [Journal Article] Symmetry protected Z2 quantization and quaternionic Berry connection with Kramers degeneracy2010

    • Author(s)
      Y.Hatsugai
    • Journal Title

      New J.Phys.Special Issue on topological Insulators (掲載確定)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optical Hall conductivity in 2DEG and graphene QHE systems2010

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

      Physica E 42

      Pages: 751-754

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Landau level broadening in graphene with long-range disorder---Robustness of the n=0 level2010

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

      Physica E 42

      Pages: 759-762

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical study of quantum Hall effect in two-dimensional multi-band system : single- and multi-layer graphene2010

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

      Physica E 42

      Pages: 740-743

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dimerization transition of three-leg Heisenberg tube2010

    • Author(s)
      Satoshi Nishimoto, Mitsuhiro Arikawa
    • Journal Title

      J.Phys. : Conf.Ser. 200

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spenctral Properties of Interacting One-Dimensional Spinless Fermions2010

    • Author(s)
      M.Kohno, M.Arikawa, J.Sato, K.Sakai
    • Journal Title

      J.Phys. : Conf.Ser. 200

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Hall plateau transition in graphene with correlated random hopping2009

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

      Phys.Rev.Lett. 103

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optical Hall conductivity in ordinary and graphene QHE systems2009

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

      Phys.Rev.Lett. 103

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bulk-edge correspondence in graphene with/without magnetic fiels : Chiral symmetry, Dirac fermions and Edge states2009

    • Author(s)
      Y.Hatsugai
    • Journal Title

      Solid State Communication 149

      Pages: 1061-1067

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange2009

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

      Phys.Rev.B 79

    • NAID

      120007138292

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2009

    • Author(s)
      初貝安弘(共著)
    • Journal Title

      トポロジーデザイニング:新しい幾何学から始める物質・材料設計(NTS)

      Pages: 83-94

    • Related Report
      2009 Annual Research Report
  • [Journal Article]2009

    • Author(s)
      初貝安弘(共著)
    • Journal Title

      グラフェンの機能と応用展望(シーエムシー出版)

      Pages: 33-45

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange2009

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

      Phys. Rev. B 79

      Pages: 115107-115107

    • NAID

      120007138292

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantized Berry phase of Kondo insulators2009

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

      Journal of Physics: Conference Series 150

      Pages: 42116-42116

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cyclotron radiation and emission in graphene-a possibility of Landau-level laser2009

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

      Journal of Physics: Conference Series 150

      Pages: 22059-22059

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optical Hall conductivity in QHE systems2009

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

      Journal of Physics: Conference Series 150

      Pages: 22060-22060

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Edge states for the n=0 Laudau level in graphene2009

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

      Journal of Physics: Conference Series 150

      Pages: 22003-22003

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-adiabatic effect on Laughlin's argument of the quantum Hall effect.2009

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

      Journal of Physics: Conference Series 150

      Pages: 22055-22055

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Hall effects of graphene with multi orbitals: Topological numbers, Boltzmann conductance and Semi-classical quantization2009

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

      Phys. Rev. B 79

      Pages: 75429-75429

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange2009

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

      J. Phys. Conf. Ser. 145

      Pages: 12052-12052

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topological meaning of Z2 numbers in time reversal invariant systems2008

    • Author(s)
      Takahiro Fukui, Takanori Fuiiwara. Yasuhiro Hatsugai
    • Journal Title

      Journal of the Physical Society of Japan 77

      Pages: 123705-123705

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Edge states in graphene in magnetic fields: A speciality of the edge mode embedded in the n=0 Landau band2008

    • Author(s)
      Mitsuhiro Arikawa, Yasuhiro Hatsugai, and Hideo Aoki
    • Journal Title

      Phys. Rev. B 78

      Pages: 205401-205401

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cyclotron radiation and emission in graphene2008

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

      Phys. Rev. B 78

      Pages: 73406-73406

    • NAID

      120007138581

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degeneracy and consistency condition for Berry phases: Gan closing under a local gauge twist2008

    • Author(s)
      T. Hirano, H. Katsura, and Y. Hatsugai
    • Journal Title

      Phys. Rev. B 78

      Pages: 54431-54431

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] 蜂の巣格子模型に基づくグラフェン量子ホール系の光学ホール伝導度2010

    • Author(s)
      森本高裕, 初貝安弘, 青木秀夫
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 2次元直交ダイマー系におけるZ2ベリー位相2010

    • Author(s)
      棚谷翔, 有川晃弘, 丸山勳, 初貝安弘
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 時間反転対称な多電子系の四元数表示とベリー接続2010

    • Author(s)
      初貝安弘
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] グラフェンn=0ランダウ準位における異常性とカイラル対称性2010

    • Author(s)
      河原林透, 初貝安弘, 青木秀夫
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Z_2 tipological classification in BEC-BCS crossover phenomena2010

    • Author(s)
      有川晃弘, 丸山勳, 初貝安弘
    • Organizer
      American Physical Societry March Meeting 2010
    • Place of Presentation
      Portland, Oregon, USA
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum/Spin liquids, geometrical phases and edge states (selected oral)2010

    • Author(s)
      初貝安弘
    • Organizer
      Physics of New Quantum Phases in Superclean Materials 2010(PSM2010)
    • Place of Presentation
      Hamagin Hall "VIA MARE", Yokohama
    • Year and Date
      2010-03-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] Correspondence between the bulk quantum states and boundary states in topological phases in condensed matter (selected oral)2010

    • Author(s)
      初貝安弘
    • Organizer
      IPMU Focus Week Condensed Matter Physics Meets High Energy Physics
    • Place of Presentation
      Institute for the Physics and Mathematics of the Universe(IPMU)Kashiwa, JAPAN
    • Year and Date
      2010-02-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] フラストレーション系の量子相転移におけるトポロジカル不変量とエッジ状態2009

    • Author(s)
      丸山勳, 棚谷翔, 有川晃弘, 初貝安弘
    • Organizer
      誘電体にひそむランダムネスとフラストレーション
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] グラフェンにおけるバルクエッジ対応2009

    • Author(s)
      初貝安弘
    • Organizer
      筑波大学-KEK連携mini研究会
    • Place of Presentation
      筑波大学
    • Year and Date
      2009-11-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] フラストレーションをもつ1次元スピン系の動力学の理論2009

    • Author(s)
      有川晃弘・初貝安弘
    • Organizer
      第二回連携研究会(-筑波大学とKEKとの研究連携を目指して-)
    • Place of Presentation
      いばらき量子ビーム研究センター会議室
    • Year and Date
      2009-11-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical study of quantum Hall effect in graphene and related materials2009

    • Author(s)
      新井正男, 初貝安弘
    • Organizer
      The 12th Asian Workshop on First-Principles Electronic Structure Calculations(ASIAN12)
    • Place of Presentation
      Institute of Physics, Chinese Academy of Sciences, Beijing, China
    • Year and Date
      2009-10-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 二次元六角格子における電子格子相互作用の効果2009

    • Author(s)
      河原林透, 小野嘉之, 初貝安弘, 小林健
    • Organizer
      2日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] 電子相関と時間反転対称な系のベリー接続2009

    • Author(s)
      初貝安弘
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] 引力相互作用系でのベリー位相2009

    • Author(s)
      有川晃弘, 丸山勳, 初貝安弘
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] ゼロギャップ有機伝導体における量子ホール効果2009

    • Author(s)
      新井正男, 初貝安弘
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Berry connections and Dirac dispersion2009

    • Author(s)
      初貝安弘
    • Organizer
      Quantum Gauge Theories and Ultracold Atoms
    • Place of Presentation
      Sant Benet, Spain
    • Year and Date
      2009-09-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Topological identification of location of spin-singlet pairs and edge states2009

    • Author(s)
      丸山勳, 棚谷翔, 有川晃弘, 初貝安弘
    • Organizer
      The International Conference on Magnetism-ICM 2009
    • Place of Presentation
      Karlsruhe, Germany
    • Year and Date
      2009-07-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum Hall transition in graphene with correlated disorder2009

    • Author(s)
      T.Kawarabayashi, 初貝安弘, 青木秀夫
    • Organizer
      Graphene Tokyo 2009
    • Place of Presentation
      Univ.of Tokyo, Tokyo, JAPAN
    • Year and Date
      2009-07-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical study of quantum Hall effect in two-dimensional multi-band system : single-and multi-layer graphene2009

    • Author(s)
      Masao Arai, 初貝安弘
    • Organizer
      Electronic Properties of Two-Dimensional Systems(EP2DS-18)
    • Place of Presentation
      Kobe International Conference Center, Kobe Japan
    • Year and Date
      2009-07-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Landau level broadening in graphene with long-range disorder Robustnessof the n=0 level2009

    • Author(s)
      T.Kawarabayashi, 初貝安弘, 青木秀夫
    • Organizer
      Electronic Properties of Two-Dimensional Systems(EP2DS-18), selected oral presentation
    • Place of Presentation
      Kobe International Conference Center, Kobe Japan
    • Year and Date
      2009-07-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] リング交換相互作用をもつスピン梯子系のバルク・エッジ対応2009

    • Author(s)
      有川晃弘, 棚谷翔, 丸山勳, 初貝安弘
    • Organizer
      フラストレーションとカイラリティ
    • Place of Presentation
      有馬温泉メープル有馬
    • Year and Date
      2009-07-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Berry phases in quantum liquids with frustration (selected oral talk)2009

    • Author(s)
      初貝安弘
    • Organizer
      Joint European Japanese Conference : Frustration in Condensed Matter
    • Place of Presentation
      Ecole Normale Superieure de Lyon Lyon, France
    • Year and Date
      2009-05-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] 強磁場中のグラフェン量子ホール効果におけるランダムネスのレンジの効果2009

    • Author(s)
      河原林透,初貝安弘,青木秀夫
    • Organizer
      日本物理学会第64回年次大会27pYH-10
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] リング交換相互作用を持つスピン1/2梯子系におけるエッジ状態と量子化ベリー位相2009

    • Author(s)
      丸山勲,棚谷翔,有川晃弘,初貝安弘
    • Organizer
      日本物理学会第64回年次大会27pTJ-9
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] ホール効果における量子・半古典対応の破れ2009

    • Author(s)
      新井正男,初貝安弘
    • Organizer
      日本物理学会第64回年次大会27pRC-6
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] バイポーラロン-BCSクロスオーバー系のトポロジカルな量子相転移2009

    • Author(s)
      有川晃弘,丸山勲A,初貝安弘
    • Organizer
      日本物理学会第64回年次大会27pRC-5
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 非可換ベリー接続と時間反転対称性2009

    • Author(s)
      初貝安弘,福井隆裕
    • Organizer
      日本物理学会第64回年次大会27pRC-3
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] グラフェン量子ホール不規則系における光学ホール伝導度とプラトー構造2009

    • Author(s)
      森本高裕,初貝安弘,青木秀夫
    • Organizer
      日本物理学会第64回年次大会27pPSB-51
    • Place of Presentation
      立教大学,東京
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Optical Hall conductivity in QHE systems2009

    • Author(s)
      Takahiro Morimoto,Yasubiro Hat sugai. Hideo Aoki
    • Organizer
      2009 APS March Meeting
    • Place of Presentation
      Pittsburgh, Pennsylvania, USA.
    • Year and Date
      2009-03-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantized Berry phase and entanglement entropy for a spin ladder system2009

    • Author(s)
      I. Maruyama, S. Tanaya, M. Arikawa, Y. Hatsugai
    • Organizer
      2009 APS March Meeting
    • Place of Presentation
      Pittsburgh, Pennsylvania, USA
    • Year and Date
      2009-03-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Edge States of S=1/2 Spin Ladder with Four-Spin Ring exehange2009

    • Author(s)
      S.Tanaya, M. Arikawa, I. Maru. yama, Y. Hatsugai
    • Organizer
      International Symposium on Interdisciphnary Materials Science,ISIMS-2009
    • Place of Presentation
      EPOCHAL TSUKUBA
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Topological aspects of the n=0 Landau level in graphene: chiral symmetry and Hall plateau transition2009

    • Author(s)
      Y. Hatsugai
    • Organizer
      Graphene week 2009, ESF-FWF Conference
    • Place of Presentation
      Universitatszentrum Obergurgl, Austria
    • Year and Date
      2009-03-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bulk Edge Correspondece in Quantum Liquids2009

    • Author(s)
      Yasuhior Hatsugai
    • Organizer
      International workshop on quantum critical phenomena and novel phases in superclean materials
    • Place of Presentation
      Honolulu, Hawai, U. S. A.
    • Year and Date
      2009-01-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bulk-Edge correspondence and fractionalization2008

    • Author(s)
      Yasubiro Hatsugai
    • Organizer
      Workshop on Quantum Spin Hall Effect and Topological Insulators (KITP)
    • Place of Presentation
      Kavli Institute for Theoretical Physics, Univ. of California Santa Barbara,
    • Year and Date
      2008-12-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] 「ナノ分子グラフェンの理論」2008

    • Author(s)
      有川晃弘、初貝安弘、青木秀夫
    • Organizer
      筑波大学学際物質科学研究拠点研究会「ナノ分子磁性体の化学・物理・応用」
    • Place of Presentation
      筑波大学
    • Year and Date
      2008-11-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] スピン1/2系におけるハルデーン相の量子化ベリー位相と断熱変形2008

    • Author(s)
      丸山勲,初貝安弘
    • Organizer
      日本物理学会2008年秋季大会23aPS-15
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] マルチバンドモデルによるグラフェンの量子ホール効果2008

    • Author(s)
      新井正男,初貝安弘
    • Organizer
      日本物理学会2008年秋季大会22aTA-1
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] 磁場中グラフェンのボンド秩序相におけるエンタングルメント・エントロピー2008

    • Author(s)
      有川晃弘,青木秀夫,福井隆裕,初貝安弘
    • Organizer
      日本物理学会2008年秋季大会22aTA-2
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] グラフェンランダウ準位におけるランダムネスの効果2008

    • Author(s)
      河原林透,初貝安弘,青木秀夫
    • Organizer
      日本物理学会2008年秋季大会22a田A-9
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] 時間反転対称性とベリー位相2008

    • Author(s)
      初貝安弘,福井隆裕
    • Organizer
      日本物理学会2008年秋季大会22pRB-13
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Z2不変量のトポロジカルな意味2008

    • Author(s)
      福井隆裕,初貝安弘
    • Organizer
      日本物理学会2008年秋季大会22pRB-14
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] リング交換相互作用を持つスピン梯子系のエンタングルメントエントロピー2008

    • Author(s)
      棚谷翔,丸山勲,有川晃弘,初貝安弘
    • Organizer
      日本物理学会2008年秋季大会22pVD-9
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bulk-edge correspondence in graphene with and without magnetic field: Topological aspects of Dirac fermions in real materials2008

    • Author(s)
      Y. Hatsugai
    • Organizer
      ICTP Conference Graphene Week 2008
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      2008-08-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantized Berry phase of Kondo insulators2008

    • Author(s)
      I. Maruyama and Y. Hatsugai
    • Organizer
      25-th International Conference of Low Temperature Physics
    • Place of Presentation
      Amsterdam, Netherlands
    • Year and Date
      2008-08-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Non-adiabatic effect on Laughlin's argument of the quantum Hall effect2008

    • Author(s)
      I. Maruyama and Y. Hatsugai
    • Organizer
      25-th International Conference of Low Temperature Physics
    • Place of Presentation
      Amsterdam, Netherlands
    • Year and Date
      2008-08-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Edge states for the n=0 Laudau level in graphene2008

    • Author(s)
      M. Arikawa, Y. Hatsugai and H. Aoki
    • Organizer
      25-th International Conference of Low Temperature Physics
    • Place of Presentation
      Amsterdam, Netherlands
    • Year and Date
      2008-08-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Optical Hall conductivity in the THz region in the quantum Hall regime2008

    • Author(s)
      T. Morimoto, Y. Hatsugai and H Aoki
    • Organizer
      25-th International Conference of Low Temperature Physics
    • Place of Presentation
      Amsterdam, Netherlands
    • Year and Date
      2008-08-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Cyclotron radiation and emission in graphene - a possibility of Landau-level laser2008

    • Author(s)
      T. Morimoto, Y. Hatsugai and H. Aoki
    • Organizer
      25-th International Conference of Low Temperature Physics
    • Place of Presentation
      Amsterdam, Netherlands
    • Year and Date
      2008-08-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] Berry Phases with/without Time Reversal Invariance2008

    • Author(s)
      Y. Hatsugai
    • Organizer
      Topological Aspects of Solid State Physics
    • Place of Presentation
      Yukawa Institute for Theoretical Physics, Kyoto University
    • Year and Date
      2008-06-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Characteristic edge states of quantum Hall effects in graphene: Dirac fermions and quantum liquids2008

    • Author(s)
      Y. Hatsugai
    • Organizer
      Quantum Phases and Excitations in Quantum Hall Systems
    • Place of Presentation
      Max Planck institute for the Physics of Complex Systems, Dresden,Germany
    • Year and Date
      2008-06-19
    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2009 Annual Research Report

URL: 

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

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