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2005 Fiscal Year Final Research Report Summary

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
KeywordsHigh Tc Superconductors / Correlated Electron Systems / Heavy Fermions / Superconductivity of LSCO / Superconductivity of YBCO / Organic Superconductors / CeCoIn5 / Anisotropic Superconductors
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.

  • Research Products

    (8 results)

All 2006 2005

All Journal Article (8 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: 024713

    • Description
      「研究成果報告書概要(和文)」より
  • [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: 024713

    • Description
      「研究成果報告書概要(欧文)」より
  • [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

    • Description
      「研究成果報告書概要(和文)」より
  • [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

    • Description
      「研究成果報告書概要(和文)」より
  • [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

    • Description
      「研究成果報告書概要(和文)」より
  • [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
  • [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
  • [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

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2007-12-13  

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