Phase Diagrams and Phase Transitions in Low-dimensional Systems

• Project/Area Number: 17540360
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Tokyo Metropolitan University
• Principal Investigator: OTSUKA Hiromi Tokyo Metropolitan University, 大学院・理工学研究科, 助教 (10254145)
• Project Period (FY): 2005 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,920,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥420,000); Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000); Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
• Keywords: 相転移 / 臨界現象 / 有効的場の理論 / 朝永-ラッティンジャー液体 / 計算物理 / 多体相互作用 / 共形場理論 / ベクトル双対サインゴルドン模型 / レベルスペクトロスコピー / 二次元古典格子模型 / 共形不変性 / 臨界相 / 転送行列 / 厳密対角化 / 量子格子ガス模型 / 三角格子メルティング / 低次元系

Research Abstract

一次元電子系、量子スピン系、および二次元古典格子系など、極めて多彩な物理系が普遍的に示す臨界固定点として二次元ガウス型模型が注目を集めている。我々は本研究活動において、当固定点により支配された相転移現象を数多く、統一的手法を用いて解析すると共に数値計算法を併用することにより、高精度で系の相構造を解明することができた。また特殊な対称性を持つ多体相互作用スピン模型に対して、系の示す新奇な臨界固定点の性質の特定にも成功した。

Research Products

• [Journal Article] A Numerical Study of the Phase Transition in a Triangular-Lattice Model with Three-Spin Interactions (2009)
  • Author(s): Hiromi Otsuka
  • Journal Title: J. Phys.: Conference Series 145 Pages: 12043-12043
  • Peer Reviewed
• [Journal Article] A Numerical Study of the Phase Transition in a Triangular-LatticeModel with Three-Spin Interactions (2009)
  • Author(s): Hiromi Otsuka
  • Journal Title: J. Phys. : Conference Series 145 Pages: 12043-12046
  • Peer Reviewed
• [Journal Article] Critical Intermediate Phase and Phase Transitions in Triangular-Lattice Three-Spin Interaction Model (2008)
  • Author(s): Hiromi Otsuka and Kiyohide
  • Journal Title: Level-Spectroscopy Approach J. Phys. A : Math. Theor. 41 Pages: 375001-375001
  • Peer Reviewed
• [Journal Article] Finite-Size-Scaling Ansatz for the Helicity Modulus of the Triangular-Lattice Three-Spin Interaction Model (2008)
  • Author(s): Hiromi Otsuka
  • Journal Title: Phys. Rev. E77 Pages: 62101-62101
  • Peer Reviewed
• [Journal Article] Crossover of Criticality in a Three-State Potts Antiferromagnets with a Staggered Polarization Field (2008)
  • Author(s): Hiromi Otsuka and Yutaka Okabe
  • Journal Title: J. Korean Phys. Soc. 53 Pages: 1280-1280
  • Peer Reviewed
• [Journal Article] Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model (2008)
  • Author(s): Hiromi Otsuka
  • Journal Title: J. Phys. Soc. Jpn. 76 Pages: 73002-73002
  • Peer Reviewed
• [Journal Article] Critical Intermediate Phase and Phase Transitions In Triangular-Lattice Three-Spin Interaction Model : Level-Spectroscopy Approach (2008)
  • Author(s): Hiromi Otsuka, Kiyohide Nomura
  • Journal Title: J. Phys. A : Math. Theor. 41 Pages: 375001-375023
  • Peer Reviewed
• [Journal Article] Finite-Size-Scaling Ansatz for the Helicity Modulus of the Triangular-Lattice Three-Spin Interaction Model (2008)
  • Author(s): Hiromi Otsuka
  • Journal Title: Phys. Rev. E 77 Pages: 62101-62104
  • Peer Reviewed
• [Journal Article] Crossover of Criticality in a Three-State Potts Antiferromagnetswith a Staggered Polarization Field (2008)
  • Author(s): Hiromi Otsuka, Yutaka Okabe
  • Journal Title: J. Korean Phys. Soc. 76 Pages: 1280-1285
  • Peer Reviewed
• [Journal Article] Two-Dimensional Ising Transition in One-Dimensional Interacting Electrons (2007)
  • Author(s): Hiromi Otsuka and Masaaki Nakamura
  • Journal Title: J. Mag. Mag. Matt. 310 Pages: 1119-1121
  • Peer Reviewed
• [Journal Article] Phase Diagram and String Density Plateau State of the Anisotropic Triangular Antiferromagnetic Ising Model (2007)
  • Author(s): Hiromi Otsuka, Yutaka Okabe, and Kouichi Okunishi
  • Journal Title: J. Phys.: Condens. Matter 19 Pages: 145236-145236
  • Peer Reviewed
• [Journal Article] Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model (2007)
  • Author(s): Hiromi Otsuka
  • Journal Title: J. Phys. Soc. Jpn. 76 Pages: 073002073005-073002073005
  • Peer Reviewed
• [Journal Article] Phase Diagram and String Density Plateau State of the Anisotropic Triangular Antiferromagnetic Ising Model (2007)
  • Author(s): Hiromi Otsuka, Yutaka Okabe, Kouichi Okunishi
  • Journal Title: J. Phys. : Condens. Matter 19 Pages: 145236-145236
• [Journal Article] Two-Dimensional Ising Transition in One-Dimensional Interacting Electrons (2007)
  • Author(s): Hiromo Itsyja, Masaki Nakamura
  • Journal Title: J. Mag. Mag. Matt 310 Pages: 1119-1119
• [Journal Article] Monte Carlo Study of the Antiferromagnetic Three-State Potts Model with Staggered Polarization Field on the Square Lattice (2006)
  • Author(s): Yutaka Okabe and Hiromi Otsuka
  • Journal Title: J. Phys. A : Math. Gen. 39 Pages: 9093-9105
  • Peer Reviewed
• [Journal Article] Global Phase Diagram and Six-State Clock Universality Behavior in the Triangular Antiferromagnetic Ising Model with Anisotropic Next-Nearest-Neighbor Coupling : Level-Spectroscopy Approac (2006)
  • Author(s): Hiromi Otsuka, Yutaka Okabe, and Kiyohide Nomura
  • Journal Title: Phys. Rev. E74 Pages: 11104-11104
  • Peer Reviewed
• [Journal Article] Field-Induced Berezinskii-Kosterlitz-Thouless Transition and String-Density Plateau in Anisotropic Triangular Antiferromagnetic Ising Model (2006)
  • Author(s): Hiromi Otsuka, Yutaka Okabe, and Kouichi Okunishi
  • Journal Title: Phys. Rev. E73
  • Peer Reviewed
• [Journal Article] Global Phase Diagram and Six-State Clock Universality Behavior in the Triangular Antiferromagnetic Ising Model with Anisotropic Next-Neighbor Coupling : Level-Spectroscopy Approach (2006)
  • Author(s): Hiromi Otsuka, Yutaka Okabe, Kiyohide Nomura
  • Journal Title: Phys. Rev. E 74 Pages: 11104-11104
• [Journal Article] Field-Induced Berezinskii-Kosterlitz-Thouless Transition and String-Density Plateau in Anisotropic Triangular Antiferromagnetic Ising Model (2006)
  • Author(s): Hiromi Otsuka, Yutaka Okabe, Kouichi Okunishi
  • Journal Title: Phys. Rev. E 73
• [Journal Article] Monte Carlo Study of the Antiferromagnetic Three-State Potts Model with Staggered Polarization Field on the Square Lattice (2006)
  • Author(s): Yutaka Okabe, Hiromi Otsuka
  • Journal Title: J. Phys. A : Math. Gen. 39 Pages: 9093-9093
• [Journal Article] Field-Induced Berezinskii-Kosterlitz-Thouless Transition and String-Density Plateau in Anisotropic Triangular Antiferromagnetic Ising Model (2005)
  • Author(s): Hiromi Otsuka, Koutaro Mori, Yutaka Okabe, and Kiyohide Nomura
  • Journal Title: Phys. Rev. E72 Pages: 46103-46103
  • Peer Reviewed
• [Journal Article] Ground-state Phase Diagram of the One-Dimensional Hubbard Model with Alternating Potential (2005)
  • Author(s): Hiromi Otsuka and Masaaki Nakamura
  • Journal Title: Phys. Rev. B71 Pages: 155105-155105
  • Peer Reviewed
• [Journal Article] Two-Dimensional Ising Criticality in Interacting Electron Systems (2005)
  • Author(s): Hiromi Otsuka and Masaaki Nakamura
  • Journal Title: Physica B : Condensed Matter 359-361 Pages: 1430-1432
  • Peer Reviewed
• [Journal Article] Level-Spectroscopy of the Square-Lattice Three-State Potts Model with Ferromagnetic Next-Nearest-Neighbor Coupling (2005)
  • Author(s): Hiromi Otsuka, et al.
  • Journal Title: Phys.Rev.E 72 Pages: 46103-46103
• [Journal Article] Ground-state Phase Diagram of the One-Dimensional Hubbard Model with Alternating Potential (2005)
  • Author(s): Hiromi Otsuka, et al.
  • Journal Title: Phys.Rev.B 71 Pages: 155105-155105
• [Presentation] 異方的相互作用を持つ正方格子上古典ダイマー模型の相構造 (2009)
  • Author(s): 大塚博巳
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] 異方的相互作用を持つ正方格子上古典タイマー模型の相構造 (2009)
  • Author(s): 大塚博巳
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] 三体相互作用を持つ三角格子上XYスピン模型の解析 (2008)
  • Author(s): 大塚博巳
  • 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] A Numerical Study of the Phase Transition in a Triangular-Lattice Model with Three-Spin Interactions (2008)
  • Author(s): Hiromi Otsuka
  • Organizer: Highly Frustrated Magnetism 2008
  • Place of Presentation: Braunschweig, Germany
  • Year and Date: 2008-09-07
• [Presentation] 三体相互作用を持つ三角格子上Zpスピン模型の解析IV (2008)
  • Author(s): 大塚博巳(代表)
  • Organizer: 日本物理学会63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-23
• [Presentation] 三体相互作用をもつ三角格子上Zpスピン模型の解析IV (2008)
  • Author(s): 大塚博巳
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-23
• [Presentation] Crossover of Criticality in a Three-State Potts Antiferromagnets with a Staggered Polarization Field (2007)
  • Author(s): Hiromi Otsuka
  • Organizer: The 10th Asia Pacific Physics Conference (APPC10)
  • Place of Presentation: Pohang, Korea
  • Year and Date: 2007-08-20
• [Presentation] A New Transfer-Matrix Calculation Approach to Classical Spin Systems in Two Dimension (2007)
  • Author(s): Hiromi Otsuka
  • Organizer: STATPHYS 23, the 23rd International Conference on Statistical Physics
  • Place of Presentation: Genova, Italy
  • Year and Date: 2007-06-08
• [Presentation] 三体相互作用をもつ三角格子上Zpスピン模型の解析II (2007)
  • Author(s): 大塚博巳
  • Organizer: 日本物理学会2007年春季大会
  • Place of Presentation: 鹿児島大学
  • Year and Date: 2007-03-19
• [Presentation] 三体相互作用をもつ三角格子上Zpスピン模型の解析III (2007)
  • Author(s): 大塚博巳
  • Organizer: 日本物理学会62回年次大会
  • Place of Presentation: 北海道大学
• [Presentation] 三体相互作用をもつ三角格子上Z(N)スピン模型の解析 (2006)
  • Author(s): 大塚博巳
  • Organizer: 日本物理学会2006年秋季大会
  • Place of Presentation: 千葉大学
  • Year and Date: 2006-09-26
• [Presentation] Two-Dimensional Ising Transition in One-Dimensional Interacting Electrons (2006)
  • Author(s): Hiromi Otsuka
  • Organizer: International Conference on Magnetism 2006
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2006-08-27
• [Presentation] Phase Diagram and String Density Plateau State of the Anisotropic Triangular Antiferromagnetic Ising Model (2006)
  • Author(s): Hiromi Otsuka
  • Organizer: Highly Frustrated Magnetism 2006
  • Place of Presentation: Osaka, Japan
  • Year and Date: 2006-08-15
• [Presentation] Kitatani-Oguchi模型の相構造と空間的異方性の効果II (2006)
  • Author(s): 大塚博巳(代表)
  • Organizer: 日本物理学会61回年次大会
  • Place of Presentation: 愛媛大学、松山大学
  • Year and Date: 2006-03-29
• [Presentation] Kitatani-Oguchi模型の相構造と空間的異方性の効果 (2005)
  • Author(s): 大塚博巳(代表)
  • Organizer: 日本物理学会2005年秋季大会
  • Place of Presentation: 同志社大学
  • Year and Date: 2005-09-21
• [Presentation] 三角格子上反強磁性Ising模型の磁場誘起相転移とstring-densityプラトーについて (2005)
  • Author(s): 大塚博巳(代表)
  • Organizer: 日本物理学会2005年秋季大会
  • Place of Presentation: 同志社大学
  • Year and Date: 2005-09-19
• [Remarks]
  • URL: http://royaume.phys.metro-u.ac.jp/
• [Remarks]
  • URL: http://royaume.phys.metro-u.ac.jp/