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Theory on vortex states in anisotropic superconductors with strong correlation

Research Project

Project/Area Number 10640334
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionThe University of Tokyo

Principal Investigator

OGATA Masao  Department of Applied Physics, Nagoya University, associate professor, 大学院・統合文化研究科, 助教授 (60185501)

Co-Investigator(Kenkyū-buntansha) 田仲 由喜夫  名古屋大学, 大学院・工学研究科, 助教授 (40212039)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 1999: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1998: ¥2,100,000 (Direct Cost: ¥2,100,000)
Keywordsstrong correlation / vortex in anisotropic super conductors / t-J model / high-Tc superconductivity
Research Abstract

We studied theoretically ab014t the anomalous behaviors of the electronic states near the vortex cores as well as the relating phenomena, using the two-dimensional t-J model in which the anisotropic superconductivity with strong correlation is realized. For this purpose we developed the programs for numerical calculations and applied them to various cases. The obtained results are summarized as follows :
1. We studied the electronic states near the vortex core of high-TィイD2cィエD2 superconductors by applying the Gutzwiller approximation to the Bogoliubov-de Gennes equations. As a result, we found possibilities that an extended s-wave component and antiferromagnetic correlations are induced inside the core when the doping rate is small.
2. We examined the ground state of the two-dimensional t-J model using the variational Monte Carlo simulation which was extended for the case with antiferromagnetic order parameters. It was found that the d-wave superconductivity and antiferromagnetism coexist near half filling.
3. We extended the Gutzwiller approximation for studying the strong correlation, by comparing the numerical results and analytical methods. The obtained extended approximation can be easily applied to the Bogoliubov-de Gennes equations. We used this method for the cases with antiferromagnetic correlations.
4. We studied the electronic states near the boundary and impurities in the t-J model, which are closely related to the vortex problem. Some new features were found about the dependence of the surface states on the shape of the Fermi surface and about the magnetic impurities.
5. We investigated the stripe state in which the antiferromagnetism and d-wave superconductivity coexist using the extended Gutzwiller approximation. It was found that some impurity pinning potential is necessary to stabilize the stripe states.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] A. Himeda: "Coexistence of dx^2-y^2 superconductivity and antiferromagnetism in the two-dimensional t-J model and numerical estimation of Gutzwiller factors"Phys. Rev. B. 60. 9935-9938 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuchiura: "Quasiparticle properties around a nonmagnetic impurity in the superconducting state of the two-dimensional t-J model"J. Phys. Soc. Jpn. 68. 2510-2513 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Tanuma: "Quasiparticle states near surfaces of high-Tc superconductors based on the extended t-J model"Phys. Rev. B. 60. 9817-9826 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuchiura: "Local density of states around a magnetic impurity in the high-Tc superconductors based on the t-J model"Phys. Rev. Lett. (発表予定). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Ogata: "Electronic States and mixing of different symmetries or antiferromagnetism in vortex cores in dx^2-y^2-wave superconductivity"Int. J. of Mod. Phys. B. (発表予定). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A. Himeda and M. Ogata: "Coexistence of dィイD2x2-y2ィエD2 superconductivity and antifer-romagnetism in the two-dimensional t- J model and numerical estimation of Gutzwiller factors"Phys. Rev. B. vol. 60. R9935-R9938 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuchiura, Y. Tanaka, M. Ogata and S. Kashiwaya: "Quasiparticle Properties around a Nonmagnetic Impurity in the Superconducting State of the Two-Dimensional t-J Model"J. Phys. Soc. Jpn.. vol. 68. 2510-2513 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Tanuma, Y. Tanaka, M. Ogata and S. Kashiwaya: "Quasiparticle states near surfaces of high-TィイD2cィエD2 Superconductors based on the extended t-J model"Phys. Rev. B. vol. 60. 9817-9826 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuchiura, Y. Tanaka, M. Ogata and S. Kashiwaya: "Local density of states around a magnetic impurity in high-TィイD2cィエD2 Superconductors based on the t-J model"Phys. Rev. Lett.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Ogata: "Electronic States and Mixing of Different Symmetry or Antiferromagnetism in Vortex Cores in dィイD2xィエD2ィイD12ィエD1ィイD2-yィエD2ィイD12ィエD1-wave Superconductivity"Int. J. Mod. Phys. B.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A.Himeda: "Coexistence of dx^2-y^2 superconductivity and antiferromagnetism in the two-dimensional t-J model and numerical estimation of Giutzwiller factors"Phys.Rev.B. 60. 9935-9938 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Tsuchiura: "Quasiparticle properties around a nonmagnetic imparity in the superconducting state of the two-dimensional t-J model"J.Phys.Soc.Jpn. 68. 2510-2513 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Tanuma: "Quasiparticle states near surfaces of high-Tc superconductors based on the extended t-J model"Phys.Rev.B. 60. 9817-9826 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Tsuchiura: "Local density of states around a magnetic impurity in the high-Tc superconductors based on the t-J model"Phys.Rev.Lett. (発売予定). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Ogata: "Electronic states and mixing of different symmetries or antiferro magnetism in vortex cores in dx^2-y^2-wave superconductivity"Int.J.of Mod.Phys.B. (発売予定). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Ogata: "A New-type Superconducting State Locally Induced around a vortex in the Two-Dimensional t-J Model" Proceedings of Taniguchi Symposium. (発表予定).

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Yamase: "Effects of Charge Density Modulation on Incommensurate Antiferromagnetism : Ginzburs-Landau Study" J.Phys.Soc.Japan. 68. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Ogata: "Theory of the Quasipavticle Spectra around a vortex in the two-dimensional t-t'-J model" J.Phys.Chem.Solids. 59. 1849-1852 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 小形正男: "高温超伝導体におけるdx^2-y^2波対称性の破れ" 日本物理学会誌. 53. 918-921 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2020-05-15  

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