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

• Project/Area Number: 18684012
• Research Category: Grant-in-Aid for Young Scientists (A)
• Allocation Type: Single-year Grants
• Research Field: Condensed matter physics I
• Research Institution: Tohoku University
• Principal Investigator: SHIBATA Naokazu Tohoku University, 大学院・理学研究科, 准教授 (40302385)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥27,690,000 (Direct Cost: ¥21,300,000、Indirect Cost: ¥6,390,000); Fiscal Year 2008: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000); Fiscal Year 2007: ¥12,610,000 (Direct Cost: ¥9,700,000、Indirect Cost: ¥2,910,000); Fiscal Year 2006: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
• 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 / 二次元電子系 / 量子ホール系 / 量子多体問題 / スカーミオン / 数値計算 / 電荷秩序 / スピンドメイン / スピン転移 / 核スピン

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

• [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)
  • NAID: 40017143698
  • Peer Reviewed
• [Journal Article] Collapse of the fractional quantum Hall state by a uni- di-rectional periodic potential modulation (2010)
  • Author(s): A. Endo, N. Shibata, Y. Iye
  • Journal Title: Physica E Vol.42 Pages: 1042-1045
  • Peer Reviewed
• [Journal Article] Collapse of the fractional quantum Hall state by a unidirectional periodic potential modulation (2010)
  • Author(s): Akira Endo
  • Journal Title: Physica E 42 Pages: 1042-1045
  • Peer Reviewed
• [Journal Article] Fractional Quantum Hall Effects in Graphene and Its Bilayer (2009)
  • Author(s): N. Shibata, K. Nomura
  • Journal Title: Journal of the Physical Society of Japan Vol.78
  • NAID: 130005437125
  • Peer Reviewed
• [Journal Article] Fractional Quantum Hall Effects in Graphene and Its Bilayer (2009)
  • Author(s): Naokazu Shibata
  • Journal Title: Journal of the Physical Society of Japan 78
  • NAID: 130005437125
  • Peer Reviewed
• [Journal Article] Coupled charge and valley excitations in graphene quantum Hall ferromagnets (2008)
  • Author(s): N. Shibata, K. Nomura
  • Journal Title: Physical Review B Vol.77
  • Peer Reviewed
• [Journal Article] Quantum Hall Systems Studied by the Density Matrix Renormalization Group Method (2008)
  • Author(s): N. Shibata
  • Journal Title: Progress of Theoretical Physics supplement Vol.176 Pages: 182-202
  • NAID: 110007081248
  • Peer Reviewed
• [Journal Article] Quantum Hall Systems Studied by the Density Matrix Renormalization Group Method (2008)
  • Author(s): Naokazu Shibata
  • Journal Title: Progress of Theoretical Physics supplement 176 Pages: 182-202
  • NAID: 110007081248
  • Peer Reviewed
• [Journal Article] Coupled charge and valley excitations in graphene quantum Hall ferromagnets (2008)
  • Author(s): Naokazu Shibata
  • Journal Title: Physical Review B 77
  • Peer Reviewed
• [Journal Article] Phase Separation inν=2/3 Fractional Quantum Hall Systems (2007)
  • Author(s): N. Shibata, K. Nomura
  • Journal Title: Journal of the Physical Society of Japan Vol.76
  • Peer Reviewed
• [Journal Article] Phase Separatoin in ν=2/3 Fractional Quantum Hall Systems (2007)
  • Author(s): Naokazu Shibata
  • Journal Title: Journal of the Physical Society of Japan 76
  • 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 geometry (2010)
  • 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] Entanglement entropy of quantum Hall systems in torus and spherical geometry (2010)
  • Author(s): N.Shibata
  • Organizer: APS March Meeting
  • Place of Presentation: Portland Convention Center,米国
  • 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] 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
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-26
• [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] 磁場中2次元電子系へ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
  • 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
• [Presentation] Fractional quantum Hall states in grapheme (2009)
  • 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 graphene (2009)
  • Author(s): N.Shibata
  • Organizer: Workshop on New Developments in Strongly Correlated Electron Systems
  • Place of Presentation: ETH Zurich(スイス)
  • Year and Date: 2009-09-19
• [Presentation] Fractional quantum Hall states in 2D electron systems (2009)
  • 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] Fractional quantum Hall states in 2D electron systems (2009)
  • Author(s): N.Shibata
  • Organizer: Workshop on Matrix Product State Formulation and Density Matrix Renormalization Group Simulations
  • Place of Presentation: Kobe Institute(University of Oxford),神戸
  • Year and Date: 2009-08-12
• [Presentation] Ground state phase diagram of graphene in a high Landau level (2009)
  • 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 grapheme (2009)
  • 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] Fractional quantum Hall states in single-layer and bilayer graphene (2009)
  • Author(s): N.Shibat
  • Organizer: 18the International Conference on Electric Properties of Two-Dimensional Systems
  • Place of Presentation: Kobe International Conference Center,神戸
  • Year and Date: 2009-07-23
• [Presentation] Ground state phase diagram of graphene in a high Landau level (2009)
  • Author(s): T.Higashi
  • Organizer: 18th International Conference on Electric Properties of Two-Dimensional Systems
  • Place of Presentation: Kobe International Conference Center,神戸
  • Year and Date: 2009-07-23
• [Presentation] Collapse of the fractional quantum Hall state by a unidi-rectional periodic potential modulation (2009)
  • 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] Collapse of the fractional quantum Hall state by a unidirectional periodic potential modulation (2009)
  • Author(s): A.Endo
  • Organizer: 18the International Conference on Electric Properties of Two-Dimensional Systems
  • Place of Presentation: Kobe International Conference Center,神戸
  • 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] 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): Naoakazu Shibata
  • Organizer: 日本物理学会第64回年次大会
  • 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): Tatsuya Higashi
  • Organizer: 日本物理学会第64回年次大会
  • 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] 二層グラフェンにおける分数量子ホール状態 (2008)
  • Author(s): Naokazu Shibata
  • Organizer: 日本物理学会2008年秋季大会
  • 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): Tatsuya Higashi
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-22
• [Presentation] Coupled charge and valley excitations in graphene quantum Hall ferromagnets (2008)
  • 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] 強磁場中グラフェンにおけるスカーミオン励起 (2008)
  • Author(s): Naokazu Shibata
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-25
• [Presentation] Bilayer quantum Hall systems (2007)
  • 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] 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): Naokazu Shibata
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-21
• [Presentation] Excitonic state in bilayer quan-tum Hall systems (2007)
  • 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
• [Remarks]
  • URL: http://www.cmpt.phys.tohoku.ac.jp/~shibata
• [Remarks]
  • URL: http://www.cmpt.phys.tohoku.ac.jp/~shibata