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Study on the d-p model by the Numerical Diagonalization Method

Research Project

Project/Area Number 08640484
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionMie University

Principal Investigator

SANO Kazuhiro  Mie University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (40201537)

Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1998: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1997: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1996: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsHigh-Tc Superconductivity / Correlated Electron Systems / d-p model / Numerical Diagonalization
Research Abstract

HEAD INVESTIGATOR REGISTERED NUMBER 40201537 NAME Kazuhiro, Sano Department of Physics Engineering, Mie University Assistant Professor
Toward the clarification of the mechanism of the high temperature superconductivity, we investigate the one-dimensional d-p model by the numerical diagonalization method. The model contains electron hopping between copper (d-) site and oxygen (p-) site and repulsive Coulomb interaction on both sites. In addition, it contains the nearest-neighbor-p interaction and the hopping tpp between the nearest-neighbor p sites. It is known as a good target for investigating the possible mechanism of the high-Tc superconductivity.
By calculating the paring correlation functions and the critical exponent based on the Luttinger liquid relations, we analyzed the superconducting state induced by the effect of the large repulsion Ud at the d-site in cooperation with the transfer energy tpp. We have found that the superconducting correlation is dominant in the proximity of the parameter region where the renormalized band becomes flat. The behavior of various types of the paring correlation functions suggests that the singlet paring between the nearest neighbor p sites is the most relevant to the superconducting state.
We have also found that the low energy physics of the d-p model is well described by the t-J model. The narrowing of the effective bandwidth leads to the enhancement of the value of the effective superexchange interaction over the effective transfer J/t. It may originate the superconductivity in case of the d-p model as well as the enhancement of J/t causes the superconductivity in the case of the t-J model.

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] Kazuhiro Sano: "Possible Phase Diagram of a t-J Ladder Model" Journal of the Physical Society of Japan. Vol.65. No.5. 1146-1149 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Ken'ich Takano: "Determination of Exchange Parameters from Magnetic Susceptiblity" Journal of the Physical Society of Japan. Vol.66. No.6. 1846-1847 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kazuhiro Sano: "Supercondactivity of the One-Dimensional d-p model with p-p transfer" Journal of the Physical Society of Japan. Vol.67. No.2. 389-392 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kazuhiro Sano: "Superconductivity of the One-Dimensional d-p model with p-p transfer II" Journal of the Physical Society of Japan. Vol.67. No.12. 4151-4156 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Ken'ich Takano: "Magnetic Susceptivility for CaV_4O_9" Journal of the Physical Society of Japan. Vol.67. No.12. 4209-4212 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 佐野和博: "ランチョス法による実対称行列用対角化サブルーチンの作成" 三重大学工学部研究報告書. Vol.23. 83-102 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Sano: "Possible Phase Diagram (fat-J Ladder Model" J.Phys.Soc.Jpn.Vol.65. 1146-1149 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Takano and K.Sano: "Determination of Exchange Parameters from Magnetic Susceptibility" J.Phys.Soc.Jpn.Vol.66. 1846-1847 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Sano and Y.Ono: "Superconductivity of the One-Dimensional d-p Model with p-p transfer" J.Phys.Soc.Jpn.Vol.67. 389-392 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Sano and Y.Ono: "Superconductivity of the One-Dimensional d-p Model with p-p transfer II" J.Phys.Soc.Jpn.Vol.67. 4151-4156 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Takano and K.Sano: "Magnetic Susceptibility for CaV_4O_9" J.Phys.Soc.Jpn.Vol.67. 4209-4212 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Sano: "Eigenvalue Analysis for Real Symmetric Matrices by Lanczos Method" RESEARCH REPORTS OF ENGINEERING MIE UNIVERSITY. Vol.23 (in Japanese). 83-102 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Ken'ichi Takano: "Determination of Exchange Parameters from Magnetic Susceptibility" Journal of the Physical Society of Japan. Vol.66,No.6. 1846-1847 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Kazuhiro Sano: "Superconductivity of the One-Dimensional d-p model with p-p transfer" Journal of the Physical Society of Japan. Vol.67,No.2. 389-392 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Kazuhiro Sano: "Superconductivity of the One-Dimensional d-p model with p-p transfer II" Journal of the Physical Society of Japan. Vol.67,No.12. 4151-4156 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Ken'ichi Takano: "Magnetic Surceptivitlity for CaV_4O_9" Journal of the Physical Society of Japan. Vol.67,No.12. 4209-4212 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Ken´ichi Takano: "Determination of Exchange Parameters from Magnetic Susceptibility" Journal of the Physical Society of Japan. Vol.66,No.6. 1846-1847 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Kazuhiro Sano: "Superconductivity of the One-Dimensional d-p model with p-p transter" Journal of the physical Society of Japan. Vol.67,No.2. 389-392 (1998)

    • Related Report
      1997 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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