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Study on lattice gauge models by numerical simulations and its application to critical phenomena

Research Project

Project/Area Number 20540264
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionNagoya Institute of Technology

Principal Investigator

ICHINOSE Ikuo  Nagoya Institute of Technology, 大学院・工学研究科, 教授 (20159841)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Keywordsゲージ理論 / 数値シミュレーション / 臨界現象 / 場の量子論 / 強相関電子系 / 計算機実験 / 量子スピン / モンテカルロ法 / 相転移 / 格子場の理論 / 1 / N展開法 / 計算機シミュレーション / 新奇超伝導 / 量子相転移 / 低温原子系 / 光学格子
Research Abstract

In the present research project, we have studied various types of gauge field theories by means of the Monte-Carlo simulations on lattice gauge models. Most of the gauge-theory models that were studied in the present project are motivated by elementary particle physics, cosmology, condensed matter physics including disordered systems of Bose-Einstein condensation, strongly-correlated electron systems, quantum spin systems and cold atom systems. We found very interesting phase structures and critical phenomena concerning to the above mentioned physical systems.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (40 results)

All 2011 2010 2009 2008 Other

All Journal Article (18 results) (of which Peer Reviewed: 18 results) Presentation (21 results) Remarks (1 results)

  • [Journal Article] Effective field theory for Sp(N) antiferromagnets and their phase structure2011

    • Author(s)
      K.Kataoka, S.Hattori, I.Ichinose
    • Journal Title

      Phys.Rev.B83 No.17

      Pages: 174449-174449

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase structure of the anisotropic antiferromagnetic Heisenberg model on a layered triangular lattice : Spiral state and spin liquid2011

    • Author(s)
      K.Nakane, T.Kamijo, I.Ichinose
    • Journal Title

      Phys.Rev.B83 No.5

      Pages: 54414-54414

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Antiferromagnetic, meta-insulator, and superconducting phase transitions in underdoped cuprates : Slave-fermion t-J model in the hopping expansion2011

    • Author(s)
      A.Shimizu, K.Aoki, K.Sakakibara, I.Ichinose, T.Matsui
    • Journal Title

      Phys.Rev.B83 No.6

      Pages: 64502-64502

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase structure of the anisotropic antiferromagnetic Heisenberg model on a layered triangular lattice : Spiral state and deconfined spin liquid2011

    • Author(s)
      中根一弥, 他
    • Journal Title

      Phys.Rev.B

      Volume: 83

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Antiferromagnetic, metal-insulator, and superconducting phase transitions in under-doped cuprates : Slave-fermion t-J model in the hopping expansion2011

    • Author(s)
      清水昭宏, 他
    • Journal Title

      Phys.Rev.B

      Volume: 83

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase structure of Z(2) gauge theories for frustrated antiferromagnets in two dimensions2009

    • Author(s)
      K.Nakane, A.Shimizu, I.Ichinose
    • Journal Title

      Phys.Rev.B80 No.22

      Pages: 224425-224425

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase structure and critical behavior of multi-Higgs U(1) lattice gauge theory in three dimensions2009

    • Author(s)
      T.Ono, S.Doi, Y.Hori, I.Ichinose, T.Matsui
    • Journal Title

      Ann.Phys. 324,No12

      Pages: 2453-2464

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Magnetic order, Bose-Einstein condensation, and superfluidity in a bosonic t-J model of CP1 spinons and doped Higgs holons2009

    • Author(s)
      K.Aoki, K.Sakakibara, I.Ichinose, T.Matsui
    • Journal Title

      Phys.Rev.B80 No.14

      Pages: 144510-144510

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of disorder on a lattice Ginzburg-Landau model of d-wave superconductors and superfluids2009

    • Author(s)
      T.Shimizu, S.Doi, I.Ichinose, T.Matsui
    • Journal Title

      Phys.Rev.B79 No.9

      Pages: 92508-92508

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Magnetic order, Bose-Einstein condensation, and superfluidity in a bosonic t-J model of CP1 spinons and doped Higgs holons2009

    • Author(s)
      青木幸司, その他
    • Journal Title

      Phys.Rev.B VOL. 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase structure and critical behavior of multi-Higgs U (1) lattice gauge theory in three dimensions2009

    • Author(s)
      小野友義, その他
    • Journal Title

      Ann.Phys. VOL. 342

      Pages: 2453-2464

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase structure of Z2 gauge theories for frustrated antiferromagnets in two dimensions2009

    • Author(s)
      中根一弥, その他
    • Journal Title

      Phys.Rev.B 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effects of disorder on a lattice Ginzburg-Landau model2009

    • Author(s)
      I. Ichinose, et al.
    • Journal Title

      Phys. Rev. B 79

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] U(1) lattice gauge model for unconventional superconductors : Link Cooper pair as dual gauge field2008

    • Author(s)
      K.Sawamura, I.Ichinose, Y.Moribe
    • Journal Title

      Mod.Phys.Lett.A23 No.33

      Pages: 281-2833

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Four-dimensional CP1+U(1) lattice gauge theory for three-dimensional antiferromagnets : Phase structure, gauge bosons, and spin liquid2008

    • Author(s)
      K.Sawamura, T.Hiramatsu, K.Ozaki, I.Ichinose, T.Matsui
    • Journal Title

      Phys.Rev.B77 No.22

      Pages: 224404-224404

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Four-dimensional CP1+U(1) lattice gauge theory2008

    • Author(s)
      I. Ichinose, et al.
    • Journal Title

      Phys. Rev. B 77

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] U (1) lattice gauge model for unconventional superconductor2008

    • Author(s)
      I. Ichinose, et al.
    • Journal Title

      Mod. Phys. Lett. A 33

      Pages: 2821-2833

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite-temperature phase diagram of the three-dimensional hard-core bosonic t-J model

    • Author(s)
      Y.Nakano, T.Ishima, N.Kobayashi, K.Sakakibara, I.Ichinose, T.Matsui
    • Journal Title

      Phys.Rev.B in press

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] 3次元CP(N)+U(1)ゲージモデルの臨界現象2010

    • Author(s)
      竹内祐樹
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-25
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元CP^N+U(1)ゲージモデルの臨界現象2010

    • Author(s)
      竹内祐樹
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 光学格子にトラップされたスピン3/2原子系の相構造についての場の理論的研究2010

    • Author(s)
      服部真也
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 強磁性超伝導現象に対する場の理論的Ginzburg-Landau理論と数値実験による相構造の解明2010

    • Author(s)
      清水昭宏
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] 強磁性超伝導現象に対する場の理論的Ginzburg-Landau理論と数値計算による相構造の解明2010

    • Author(s)
      清水昭宏
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 量子連続測定の下での自出粒子波束の時間発展2010

    • Author(s)
      大羽裕一郎
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Final Research Report
  • [Presentation] 量子連続測定の下での自由粒子波束の時間発展2010

    • Author(s)
      大羽裕一郎
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] t-Jモデルの有効モデル:ダブルCP1+U(1)格子ゲージ理論2009

    • Author(s)
      中野勇気
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2010 Final Research Report
  • [Presentation] スレーブフェルミオンゲージ理論によるt-Jモデルの相構造:金属・絶縁体転移と超伝導転移2009

    • Author(s)
      青木幸司
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2010 Final Research Report
  • [Presentation] t-Jモデルの有効理論 : ダブルCP1+U (1) 格子ゲージ理論2009

    • Author(s)
      中野勇気
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] スレーブフェルミオンゲージ理論によるt-Jモデルの相構造2009

    • Author(s)
      青木幸司
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] フラストレートした反強磁性ハイゼンベルグモデルを記述するゲージ理論の相構造2009

    • Author(s)
      清水昭宏
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] phase structure of Sp(N) antiferromagnets in two dimensions I : Field-theory approach2009

    • Author(s)
      片岡啓介
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2010 Final Research Report
  • [Presentation] Phase structure of Sp(N) antiferromagnets in two dimensions II : Monte-Carlo simulations2009

    • Author(s)
      服部真也
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2010 Final Research Report
  • [Presentation] Phase structure of Quantum Sp(N) antiferromagnets in two dimensions I2009

    • Author(s)
      片岡啓介
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Phase structure of quantum Sp(N) antiferromagnets in two dimensions II2009

    • Author(s)
      服部真也
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bosonict-J模型におけるCP1スピノンとボソニックホロンで見た磁気秩序と超伝導の関係2009

    • Author(s)
      榊原和彦
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report
  • [Presentation] Phase structure of a Ginzburg-Landau theory for ferromagnetic p-wave superconductors2009

    • Author(s)
      清水智詞
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Magnetic order and superconductivity in the bosonic t-Jmodel2008

    • Author(s)
      一瀬郁夫
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2010 Final Research Report
  • [Presentation] 超伝導のRVBU(1)ゲージモデルの相構造と不純物効果2008

    • Author(s)
      土井俊亮
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2010 Final Research Report
  • [Presentation] Magnetic order and superconductivity in bosonict-J model2008

    • Author(s)
      一瀬郁夫
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームベージ等

    • URL

      http://t-phys.web.nitech.ac.jp/

    • Related Report
      2010 Final Research Report

URL: 

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

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