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Theory of Superconductivity in Strongly correlated Electron Systems

Research Project

Project/Area Number 15540340
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics II
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

YAMADA Kosaku  KYOTO UNIVERSITY, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (90013515)

Co-Investigator(Kenkyū-buntansha) IKEDA Hiroaki  KYOTO UNIVERSITY, Graduate School of Science, Assistant Professor, 大学院・理学研究科, 助手 (90311737)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2003: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsHigh Tc Superconductors / Correlated Electron Systems / Heavy Fermions / Superconductivity of LSCO / Superconductivity of YBCO / Organic Superconductors / CeCoIn5 / Anisotropic Superconductors / 有効質量 / 重い電子 / Hubbardモデル / d-Pモデル / 電子相関 / 有機超伝導 / YBCO / LSCO / NaxCoO_2 / 強磁性UGe2 / 磁場侵入長 / PuCoGa_5 / CeIn_3 / 摂動理論 / d-波の電子対 / P-波の電子対
Research Abstract

This year is the last year for our project. We are completing our research on superconductivity in strongly correlated electron systems. Our theory concludes the following points.
1.Transition temperature of superconductivity is determined by the momentum dependence of electron interaction originating from the Coulomb repulsion U and mass enhancement factor 1/z.
2.We have calculated up to the fourth order terms of self-energy terms. The fourth order terms play essential roles in giving actual mass enhancement factor.
3.By using the forth order perturbation theory we can derive the Dyson-Gorkov Equation. By solving this equation we can discuss the roles of renormalization factor and anisotropic interaction between quasi-particles.
4.We can explain the reason why Tc in LSCO is lower than that in YBCO. The reason is the renormalization factor z which is inverse of the mass-enhancement factor. The renormalization factor z in LSCO is smaller than that in YBCO, owing to the strong electron correlation in LSCO. Since the energy scale of qusi-particles is determined by z, the gap and Tc are determined by z.
5.This kind of renormalization is general in all the strongly correlated electron systems. We can explain Tc in organic superconductors and heavy fermions.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (25 results)

All 2006 2005 2004 Other

All Journal Article (18 results) Book (1 results) Publications (6 results)

  • [Journal Article] Theory of Superconductivity in CeMIn5 (M=Co, Rh, Ir) on the Basis of the Three Dimensional Periodic Anderson Moodel2006

    • Author(s)
      K.Tanaka, H.Ikeda, Y.Nisikawa, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 75,No.2

      Pages: 24713-24713

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Theory of Superconductivity in CeMIn5(M=Co,Rh,Ir)on the Basis Of the Three-Dimensional Periodic Anderson Model.2006

    • Author(s)
      K.Tanaka, H.Ikeda Y.Nisikawa, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 75, No.2

      Pages: 24713-24713

    • NAID

      210000106018

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Theory of Superconductivity in CeMIn5 (M=Co, Rh, Ir) on Basis of 3D Periodic Anderson Medel2006

    • Author(s)
      K.Tanaka, Y.Nishikawa, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 75, No2

      Pages: 24713-24713

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Fourth Order Perturbation Theory for Normal Selfenergy In Repulsive Hubbard Model2005

    • Author(s)
      S.Shinkai, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74,No.9

      Pages: 2592-2597

    • NAID

      110002245748

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Possible Pairing Symmetry of Three-dimensional Superconductor UPt3-Analysis Based on a Microscopic Calculation2005

    • Author(s)
      S.Shinkai, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74,No.6

      Pages: 1811-1817

    • NAID

      110001979618

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of Superconductivity in d-p Model on Basis of Perturbation Theory2005

    • Author(s)
      S.Sasaki, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74,No.5

      Pages: 1397-1400

    • NAID

      110001979544

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Forth oreder Perturbation Theory for Normal Self-energy in Repulsive Hubbard Model2005

    • Author(s)
      S.Shinkai H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74, No.9

      Pages: 2592-2597

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Possible Pairing Symmetry of Three -dimensional Superconductor UPt3 -Analysis Based on a Macroscopic Calculation2005

    • Author(s)
      S.Shinkai, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74, No.6

      Pages: 1811-1817

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of Superconductivity In d-p Model on Basis of Perturbation Theory2005

    • Author(s)
      S.Sasaki, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74, No.5

      Pages: 1397-1400

    • NAID

      110001979544

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fourth Order Perturbation Theory for Normal Selfenergy in Repulsive Hubbard Model2005

    • Author(s)
      S.Shinkai, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74, No.9

      Pages: 2592-2597

    • NAID

      110002245748

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Possible Pairing Symmetry of Three-dimensional Superconductor UPt3 - Analysis Based on a Microscopic Calculation2005

    • Author(s)
      S.Shinkai, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74, No.6

      Pages: 1811-1817

    • NAID

      110001979618

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Analysis of Superconductivity in d-p Model on Basis of Perturbation Theory2005

    • Author(s)
      S.Sasaki, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74, No.5

      Pages: 1397-1400

    • NAID

      110001979544

    • Related Report
      2005 Annual Research Report
  • [Journal Article] From Kondo Effect to Fermi Liquid2005

    • Author(s)
      H.Kontani, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74・1

      Pages: 155-166

    • NAID

      110001979350

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Theoretical Study on Coexistence of Ferromagnetism and Superconductivity2005

    • Author(s)
      H.Kaneyasu, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 74・2

      Pages: 527-530

    • NAID

      110001979407

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Perturbation Theory for a Repulsive Hubbard Model in Quasi-One-Dimensional Superconductors2004

    • Author(s)
      S.Sasaki, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 73・4

      Pages: 815-818

    • NAID

      110001974351

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Possible Pairing Symmetry of Superconductor NaCoO_2・H_2O2004

    • Author(s)
      Y.Nishikawa, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 73・5

      Pages: 1127-1130

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Theory of Superconductivity in PuCoGa_52004

    • Author(s)
      K.Tanaka, H.Ikeda, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 73・6

      Pages: 1285-1289

    • NAID

      110001954845

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Reduction of T_c due to Impurities in Cuprate Superconductors2004

    • Author(s)
      K.Kudo, K.Yamada
    • Journal Title

      J.Phys.Soc.Jpn. 73・8

      Pages: 2219-2231

    • NAID

      110001954959

    • Related Report
      2004 Annual Research Report
  • [Book] Electron Correlation in Metals2004

    • Author(s)
      Kosaku Yamada
    • Total Pages
      245
    • Publisher
      Cambridge University Press
    • Related Report
      2004 Annual Research Report
  • [Publications] Y.Yanase, T.Jujo, T.Nomura, H.Ikeda, T.Hotta, K.Yamada: "Theory of Superconductivity in Strongly Correlated Electron Sygtoms"Physics Reports. Vol.387・1-4. 1-149 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Fukazawa, H.Ikeda, K.Yamada: "Analysis of Superconductivity Induced by On-site Coulomb Repulsion on Three-dimensional Cubic Lattice"J.Phys.Soc.Jpn.. 72・4. 884-894 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Nomura, K.Yamada: "Higher Order Perturbation expansion for Pairing Interaction in Repulsive Hubbard Model"J.Phys.Soc.Jpn.. 72・8. 2053-2063 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Fukazawa, K.Yamada: "Theory on Superconductivity of CeIn_3 in Heavy Fermion System"J.Phys.Soc.Jpn.. 72・10. 2449-2452 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Ikeda, Y.Nisikawa, K.Yamada: "Possibility of f-wave Spin-Triplet Superconductivity in The CoO_2 Superconductor"J.Phys.Soc.Jpn.. 73・1. 17-20 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tanaka, H.Ikeda, K.Yamada: "Theory of Superconductivity in PuCoGa_5"J.Phys.Soc.Jpn.. 73・4(to appear). (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2020-05-15  

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