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Construction of the First-Principles Non-Local Theory of Electron Correlations and Its Application to the Quasi-Two Dimensional Iron Compounds

Research Project

Project/Area Number 22540395
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionUniversity of the Ryukyus

Principal Investigator

KAKEHASHI Yoshiro  琉球大学, 理学部, 教授 (10191975)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords電子相関 / 非対角有効場 / 非局所電子相関 / 第一原理計算 / 鉄系化合物 / 第1原理動的CPA / 自己無撞着射影演算子理論 / 運動量依存変分理論 / 励起スペクトル / ハバードモデル / 第1原理動的CPA / フント結合 / 分子動力学 / XPS
Research Abstract

In order to describe the properties of correlated electron systems quantitatively, we have extended our theories of electron correlations towards the first-principles and nonlocal theory. At T=0, we formulated the first-principles nonlocal theory on the basis of the self-consistent projection operator method (SCPM) and the LDA+U Hamiltonian. In addition, we developed the momentum-dependent local-ansatz variational theory to calculate the static correlation functions which appear in the 1st-principles SCPM. At finite temperatures, we formulated the nonlocal dynamical CPA which takes into account the long-range inter-site correlations on the basis of the off-diagonal effective medium and the incremental cluster expansion. Furthermorewe developed the first-principles molecular dynamics method which describes the nonlocal inter-site correlations within the high-temperature approximation.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (57 results)

All 2013 2012 2011 2010 Other

All Journal Article (14 results) (of which Peer Reviewed: 14 results) Presentation (39 results) Book (2 results) Remarks (2 results)

  • [Journal Article] Nonlocal Excitations and 1/8 Singularity in Cuprates, to be published in J2013

    • Author(s)
      Y. Kakehashi, M.A.R. Patoary, and S.Chandra
    • Journal Title

      Korean Phys. Soc

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] First-Principles Molecular Dynamics Study on the Magnetic Structure of Mn_3 Pt, to be published in J2013

    • Author(s)
      T. Uchida, N. Kimura, and Y. Kakehashi
    • Journal Title

      Korean Phys. Soc

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Momentum-Dependent LocalAnsatz Wavefunction from Weak to Strong Electron Correlations, J2012

    • Author(s)
      M. A. R. Patoary, S. Chandra, and Y. Kakehashi
    • Journal Title

      Phys. Soc. Jpn

      Volume: 82 Issue: 1 Pages: 1-4

    • DOI

      10.7566/jpsj.82.013701

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Momentum-Dependent Variational Approach to Correlated Electron System, J. Phys2012

    • Author(s)
      M. A. R. Patoary and Y. Kakehashi
    • Journal Title

      Conf. Ser

      Volume: 391 Pages: 1-4

    • DOI

      10.1088/1742-6596/391/1/012164

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Momentum-Dependent Local-Ansatz Approachto Correlated Electron Systems: Non Half-Filled Case2011

    • Author(s)
      M. A. R. Patoary and Y. Kakehashi
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 80 Issue: 11 Pages: 1-11

    • DOI

      10.1143/jpsj.80.114708

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantitative Aspects of the Dynamical CPA in Harmonic Approximation2011

    • Author(s)
      T. Tamashiro, S. Nohara, K. Miyagi, andY. Kakehashi
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 80 Issue: 6 Pages: 1-9

    • DOI

      10.1143/jpsj.80.064702

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ferromagnetism of transition metals and screened exchange interactions2011

    • Author(s)
      Y. Kakehashi and M.A.R. Patoary
    • Journal Title

      Phys. Rev.B

      Volume: 83 Issue: 14 Pages: 1-9

    • DOI

      10.1103/physrevb.83.144409

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] First-Principles Dynamical CoherentPotential Approximation Approach to the Ferromagnetism of Fe2011

    • Author(s)
      Y. Kakehashi and M.A.R. Patoary
    • Journal Title

      Co, and Ni, J. Phys. Soc. Jpn

      Volume: 80 Issue: 3 Pages: 1-10

    • DOI

      10.1143/jpsj.80.034706

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical coherent potential approximation approach to excitation spectra in 3d transition metals2010

    • Author(s)
      Y. Kakehashi, M.A.R. Patoary, and T.Tamashiro
    • Journal Title

      Phys. Rev. B

      Volume: 81 Issue: 24 Pages: 1-13

    • DOI

      10.1103/physrevb.81.245133

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Non local theory of excitations applied to the Hubbard model2010

    • Author(s)
      Y. Kakehashi, T. Nakamura, and P. Fulde
    • Journal Title

      J. Phys. Conf. Series

      Volume: 200 Issue: 1 Pages: 1-4

    • DOI

      10.1088/1742-6596/200/1/012075

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Firstprinciples dynamical CPA to finitetemperature magnetism of transition metals2010

    • Author(s)
      Y. Kakehashi, T. Tamashiro, M.A.R. Patoary, and T. Nakamura
    • Journal Title

      J. Phys. Conf. Series

      Volume: 200 Issue: 3 Pages: 1-4

    • DOI

      10.1088/1742-6596/200/3/032030

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] First-principles dynamical CPA to finite-temperature magnetism of transition metals2010

    • Author(s)
      Y.Kakehashi, T.Tamashiro, M.A.R.Patoary, T.Nakamura
    • Journal Title

      J.Phys.Conf.Series

      Volume: 200 Pages: 0320301-4

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non local theory of excitations applied to the Hubbard model2010

    • Author(s)
      Y.Kakehashi, T.Nakamura, P.Fulde
    • Journal Title

      J.Phys.Conf.Series

      Volume: 200 Pages: 0120751-4

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical coherent-potential approximation approach to excitation spectra in 3d transition metals2010

    • Author(s)
      Y.Kakehashi, M.A.R.Patoary, T.Tamashiro
    • Journal Title

      Phys.Rev.B

      Volume: 81 Pages: 2451331-13

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 第一原理分子動力学理論によるMn3Ptの磁気構造と電子状態の温度依存性の解析2013

    • Author(s)
      内田尚志,梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-28
    • Related Report
      2012 Final Research Report
  • [Presentation] 遍歴系における長距離非局所動的CPA理論2013

    • Author(s)
      梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-28
    • Related Report
      2012 Final Research Report
  • [Presentation] FirstPrinciples Dynamical CPA investigation for Ferro- and Antiferro-magnetic Transition Metals2013

    • Author(s)
      S. Chandra, 梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Momentum Dependent Local-Ansatz Hybrid Wavefunction to Correlated Electron System2013

    • Author(s)
      M.A.R. Patoary, 梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Variational Theory with Momentum-Dependent Parameters to Strongly Correlated Electron System2012

    • Author(s)
      M.A.R. Patoary,梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Nonlocal Excitations and 1/8 Singularity in Cuprates2012

    • Author(s)
      Y. Kakehashi, M.A.R. Patoary, and S. Chandra
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      釜山 (Korea)
    • Year and Date
      2012-07-13
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] FirstPrinciples Molecular Dynamics Study on the Magnetic Structure of Mn_3 Pt2012

    • Author(s)
      T. Uchida and Y. Kakehashi
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      釜山 (Korea)
    • Year and Date
      2012-07-10
    • Related Report
      2012 Final Research Report
  • [Presentation] FirstPrinciples Dynamical CPA Study of Ferroand Antiferromagnetism of Transition Metals2012

    • Author(s)
      Y. Kakehashi and S. Chandra
    • Organizer
      International Confer- ence on Magnetism
    • Place of Presentation
      釜山(Korea)
    • Year and Date
      2012-07-10
    • Related Report
      2012 Final Research Report
  • [Presentation] Theory of Momentum-Dependent Variational Ansatz to Strongly Correlated Electron Syste2012

    • Author(s)
      M.A.R. Patoary and Y. Kakehashi
    • Organizer
      International Confer- ence on Magnetism
    • Place of Presentation
      釜山 (Korea)
    • Year and Date
      2012-07-09
    • Related Report
      2012 Final Research Report
  • [Presentation] Momentum-Dependent Local-Ansatz Variational Approach to Correlated Electrons in Solids2012

    • Author(s)
      M.A.R.Patoary, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大(西宮)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] 第1原理動的CPAに基づく遷移金属反強磁性体の有限温度磁性2012

    • Author(s)
      梯祥郎, S.Chandra
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大(西宮)
    • Year and Date
      2012-03-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] 第一原理分子動力学理論に基づくMn_3Ptの磁気構造の温度依存性の解析II2012

    • Author(s)
      内田尚志, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大(西宮)
    • Year and Date
      2012-03-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] 自己無撞着射影演算子非局所励起理論に基づく2次元ハバードモデルの励起スペクトル2011

    • Author(s)
      梯祥郎, 宮城佳祐
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大(富山市)
    • Year and Date
      2011-09-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] A Momentum-Dependent Variational Approach to Strongly Correlated Electron System2011

    • Author(s)
      M.A.R.Patoary, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大(富山市)
    • Year and Date
      2011-09-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] 動的CPA電子相関理論における調和近似の定量性III2011

    • Author(s)
      野原翔太, 宮城佳祐, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大(富山市)
    • Year and Date
      2011-09-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] 第1原理動的CPAに基づく遷移金属強磁性と原子内交換相互作用2011

    • Author(s)
      梯祥郎, M.A.R.Patoary
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大(富山市)
    • Year and Date
      2011-09-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] 第一原理分子動力学理論に基づ<Mn_3Ptの磁気構造の温度依存性の解析2011

    • Author(s)
      内田尚志, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大(富山市)
    • Year and Date
      2011-09-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Full Self-Consistent Projection Operator Approach to Nonlocal Excitations in Correlated Electron System2011

    • Author(s)
      Y.Kakehashi, K.Miyagi
    • Organizer
      Int.Conf.Strongly Correlated Electron Systems
    • Place of Presentation
      Cambridge (U.K.)
    • Year and Date
      2011-09-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] First-Principles Dynamical CPA Study of Itinerant Magnetism and Hund's Rule Coupling2011

    • Author(s)
      Y.Kakehashi, M.A.R.Patoary
    • Organizer
      Int.Conf.Strongly Correlated Electron Systems
    • Place of Presentation
      Cambridge (U.K.)
    • Year and Date
      2011-09-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] Quantitative Aspects of the Harmonic Approximation in the Dynamical CPA2011

    • Author(s)
      Y.Kakehashi, Y.Tamashiro, S.Nohara, K.Miyagi
    • Organizer
      Int.Conf.Strongly Correlated Electron Systems
    • Place of Presentation
      Cambridge (U.K.)
    • Year and Date
      2011-09-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] Momentum-Dependent Local-Ansatz Approach to Strongly Correlated Electron System2011

    • Author(s)
      M.A.R.Patoary, Y.Kakehashi
    • Organizer
      Int.Conf.Strongly Correlated Electron Systems
    • Place of Presentation
      Cambridge (U.K.)
    • Year and Date
      2011-09-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] Electron Correlations with Momentum-Dependent Variational Approach2011

    • Author(s)
      M.A.R.Patoary, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟大(新潟市)
    • Year and Date
      2011-03-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] 動的CPA電子相関理論における調和近似の定量性II2011

    • Author(s)
      野原翔太, 宮城佳祐, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟大(新潟市)
    • Year and Date
      2011-03-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] 第1原理動的CPAから見た遍歴強磁性と遮蔽されたフント結合2011

    • Author(s)
      梯祥郎, M.A.R.Patoary
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟大(新潟市)
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Mn3Ptのノンコリニア磁気構造の第一原理分子動力学理論II2011

    • Author(s)
      内田尚志, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟大(新潟市)
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 遍歴磁性における調和近似動的CPAの定量性2010

    • Author(s)
      玉城敏仁, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大(堺市)
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 第1原理動的CPAに基づく3d遷移金属1粒子励起状態密度の系統的変化2010

    • Author(s)
      梯祥郎, M.A.R.Patoary, 玉城敏仁
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大(堺市)
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Momentum-Dependent Local Ansatz Approach to Correlated Electron System2010

    • Author(s)
      M.A.R.Patoary, 梯祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大(堺市)
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Theory of Momentum-Dependent Variational Ansatz to Strongly Correlated Electron System

    • Author(s)
      M.A.R. Patoary and Y. Kakehashi
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      釜山 (Korea)
    • Related Report
      2012 Annual Research Report
  • [Presentation] First-Principles Dynamical CPA Study of Ferro- and Antiferromagnetism of Transition Metals

    • Author(s)
      Y. Kakehashi and S. Chandra
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      釜山 (Korea)
    • Related Report
      2012 Annual Research Report
  • [Presentation] First-Principles Molecular Dynamics Study on the Magnetic Structure of Mn3Pt

    • Author(s)
      T. Uchida and Y. Kakehashi
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      釜山 (Korea)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Variational Theory with Momentum-Dependent Parameters to Strongly Correlated Electron System

    • Author(s)
      M.A.R. Patoary,梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      琉球大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 自己無撞着非局所励起理論に基づく銅酸化物超伝導体の励起スペクトルと1/8不安定性

    • Author(s)
      梯 祥郎,M.A.R. Patoary, S. Chandra
    • Organizer
      日本物理学会九州支部例会
    • Place of Presentation
      琉球大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Theory of Momentum Dependent Local-Ansatz Approach from Weak to Strong Electron Correlations

    • Author(s)
      M.A.R. Patoary, 梯 祥郎
    • Organizer
      日本物理学会九州支部例会
    • Place of Presentation
      琉球大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] First-Principles Dynamical CPA Approach to Ferro- and Antiferro-magnetic Transition Metals

    • Author(s)
      S. Chandra, 梯 祥郎
    • Organizer
      日本物理学会九州支部例会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Momentum Dependent Local-Ansatz Hybrid Wavefunction to Correlated Electron System

    • Author(s)
      M.A.R. Patoary, 梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] First-Principles Dynamical CPA investigation for Ferro- and Antiferro-magnetic Transition Metals

    • Author(s)
      S. Chandra, 梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 遍歴系における長距離非局所動的CPA理論

    • Author(s)
      梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 第一原理分子動力学理論によるMn3Ptの磁気構造と電子状態の温度依存性の解析

    • Author(s)
      内田尚志,梯 祥郎
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Book] Modern Theory ofMagnetism in Metals and Alloys2013

    • Author(s)
      Y. Kakehashi
    • Related Report
      2012 Final Research Report
  • [Book] Modern Theory of Magnetism in Metals and Alloys2013

    • Author(s)
      Y. Kakehashi
    • Total Pages
      345
    • Publisher
      Springer-Verlag
    • Related Report
      2012 Annual Research Report
  • [Remarks] ホームページ

    • URL

      http://www.phys.u-ryukyu.ac.jp/wiki/index.php?Kakehashi%20Lab

    • Related Report
      2012 Final Research Report
  • [Remarks] Kakehashi Lab

    • URL

      http://www.phys.u-ryukyu.ac.jp/wiki/index.php?Kakehashi%20Lab

    • Related Report
      2012 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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