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2008 Fiscal Year Final Research Report

Study of multi-component two-dimensional quantum many body systemsby the density matrix renormalization group method

Research Project

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Project/Area Number 18684012
Research Category

Grant-in-Aid for Young Scientists (A)

Allocation TypeSingle-year Grants
Research Field Condensed matter physics I
Research InstitutionTohoku University

Principal Investigator

SHIBATA Naokazu  Tohoku University, 大学院・理学研究科, 准教授 (40302385)

Project Period (FY) 2006 – 2008
Keywords量子多体系 / 分数量子ホール効果 / 密度行列繰り込み群 / グラフェン / 二層系
Research Abstract

多自由度量子多体系に対する優れた計算法である密度行列繰り込み群の計算法に最適化された並列計算機環境を構築することで、ソフトウェアーとハードウェアーの双方の技術を融合させ、これまでの計算技術では不可能であった多自由度量子多体系の研究を行った。特に、二層量子ホール系やグラフェン等の磁場中の電子状態の計算を行い、半導体界面やグラフェン等で実現する多自由度二次元量子多体状態を実験的に検証するために必要な定量的理論予測を得た。

  • Research Products

    (26 results)

All 2010 2009 2008 2007 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (19 results) Remarks (1 results)

  • [Journal Article] Stability of the Excitonic Phase in Bilayer Quantum Hall Systems at Total Filling One - Effects of Finite Well Width and Pseudopotentials -2010

    • Author(s)
      D. Yoshioka, N. Shibata
    • Journal Title

      Journal of the Physical Society of Japan Vol.79,No.6(掲載確定)

    • Peer Reviewed
  • [Journal Article] Collapse of the fractional quantum Hall state by a uni- di-rectional periodic potential modulation2010

    • Author(s)
      A. Endo, N. Shibata, Y. Iye
    • Journal Title

      Physica E Vol.42

      Pages: 1042-1045

    • Peer Reviewed
  • [Journal Article] Fractional Quantum Hall Effects in Graphene and Its Bilayer2009

    • Author(s)
      N. Shibata, K. Nomura
    • Journal Title

      Journal of the Physical Society of Japan Vol.78

      Pages: 104708-1-7

    • Peer Reviewed
  • [Journal Article] Coupled charge and valley excitations in graphene quantum Hall ferromagnets2008

    • Author(s)
      N. Shibata, K. Nomura
    • Journal Title

      Physical Review B Vol.77

      Pages: 235426-1-5

    • Peer Reviewed
  • [Journal Article] Quantum Hall Systems Studied by the Density Matrix Renormalization Group Method2008

    • Author(s)
      N. Shibata
    • Journal Title

      Progress of Theoretical Physics supplement Vol.176

      Pages: 182-202

    • Peer Reviewed
  • [Journal Article] Phase Separation inν=2/3 Fractional Quantum Hall Systems2007

    • Author(s)
      N. Shibata, K. Nomura
    • Journal Title

      Journal of the Physical Society of Japan Vol.76

      Pages: 103711-1-4

    • Peer Reviewed
  • [Presentation] 2層量子ホール励起子相境界の相互作用依存性2010

    • Author(s)
      吉岡大二郎, 柴田尚和
    • Organizer
      日本物理学会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-20
  • [Presentation] Entanglement entropy of quantum Hall systems in torus and spheri-cal geometry2010

    • Author(s)
      N. Shibata
    • Organizer
      APS March Meeting
    • Place of Presentation
      米国, ポートランド
    • Year and Date
      2010-03-15
  • [Presentation] 強磁場中グラフェンにおける電子相関の効果2009

    • Author(s)
      東達也, 柴田尚和
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26
  • [Presentation] 磁場中2次元電子系ヘの応用とグラフェンにおける分数量子ホール状態2009

    • Author(s)
      柴田尚和, 野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-25
  • [Presentation] Fractional quantum Hall states in grapheme2009

    • Author(s)
      N. Shibata
    • Organizer
      Workshop on New Developments in Strongly Correlated Electron Systems
    • Place of Presentation
      ETH Zurich (スイス, チューリッヒ)
    • Year and Date
      2009-09-19
  • [Presentation] Fractional quantum Hall states in 2D electron systems2009

    • Author(s)
      N. Shibata
    • Organizer
      Workshop on Ma-trix Product State Formulation and Density Matrix Renormalization Group Simulations
    • Place of Presentation
      Kobe Institute (University of Oxford)
    • Year and Date
      2009-08-12
  • [Presentation] Ground state phase diagram of graphene in a high Landau level2009

    • Author(s)
      T. Higashi, N. Shibata
    • Organizer
      18th International Conference on Electric Properties of Two-Dimensional Systems
    • Place of Presentation
      Kobe International Con-ference Center
    • Year and Date
      2009-07-23
  • [Presentation] Fractional quan-tum Hall states in single-layer and bilayer grapheme2009

    • Author(s)
      N. Shibata, K. Nomura
    • Organizer
      18th International Conference on Electric Properties of Two-Dimensional Systems
    • Place of Presentation
      Kobe Inter-national Conference Center
    • Year and Date
      2009-07-23
  • [Presentation] Collapse of the fractional quantum Hall state by a unidi-rectional periodic potential modulation2009

    • Author(s)
      A. Endo, N. Shibata, Y. Iye
    • Organizer
      18th International Conference on Electric Properties of Two-Dimensional Systems
    • Place of Presentation
      Kobe International Con-ference Center
    • Year and Date
      2009-07-21
  • [Presentation] 単層および二層グラフェンにおける分数量子ホール状態の階層構造2009

    • Author(s)
      柴田尚和, 野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
  • [Presentation] グラフェンの高次のランダウ準位における基底状態の相図2009

    • Author(s)
      東達也, 柴田尚和
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
  • [Presentation] 磁場中2次元電子系への応用:量子ホール系の電子状態2008

    • Author(s)
      柴田尚和
    • Organizer
      密度行列繰り込み群法を用いた物性研究の新展開
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-16
  • [Presentation] 二層グラフェンにおける分数量子ホール状態2008

    • Author(s)
      柴田尚和, 野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
  • [Presentation] グラフェンの高次のランダウ準位におけるCDW構造2008

    • Author(s)
      東達也, 柴田尚和
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
  • [Presentation] Coupled charge and valley excitations in graphene quantum Hall ferromagnets2008

    • Author(s)
      N. Shibata
    • Organizer
      Topological Aspects of Solid State Physics
    • Place of Presentation
      京都大学
    • Year and Date
      2008-06-24
  • [Presentation] 強磁場中グラフェンにおけるスカーミオン励起2008

    • Author(s)
      柴田尚和, 野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
  • [Presentation] Bilayer quantum Hall systems2007

    • Author(s)
      N. Shibata
    • Organizer
      Interaction and Nanostructural Effects in Low-Dimensional Systems
    • Place of Presentation
      京都大学
    • Year and Date
      2007-11-13
  • [Presentation] ν=2およびν=2/3量子ホール系におけるスピンドメインの形成2007

    • Author(s)
      柴田尚和
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
  • [Presentation] Excitonic state in bilayer quan-tum Hall systems2007

    • Author(s)
      N. Shibata
    • Organizer
      日中セミナー
    • Place of Presentation
      人民大学(中国, 北京)
    • Year and Date
      2007-06-27
  • [Remarks]

    • URL

      http://www.cmpt.phys.tohoku.ac.jp/~shibata

URL: 

Published: 2011-06-18   Modified: 2016-04-21  

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