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Theoretical Study of Superconductivity and Strongly Correlated Fermions

Research Project

Project/Area Number 01540296
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 物性一般(含極低温・固体物性に対する理論)
Research InstitutionNagoya University

Principal Investigator

YAMADA Kazuo (1991)  Nagoya Univ., College of General Education, Prof., 教養部, 教授 (10022542)

三宅 和正 (1989-1990)  名古屋大学, 教養部, 助教授 (90109265)

Co-Investigator(Kenkyū-buntansha) MIYAKE Kazumasa  Osaka Univ., Faculty of Engineering Science, Assoc. Prof., 基礎工学部, 助教授 (90109265)
HIRASHIMA Dai  Nagoya Univ., School of Science, Assist. Prof., 理学部, 助手 (20208820)
MATSUURA Tamifusa  Nagoya Univ., School of Science, Assoc. Prof., 理学部, 助教授 (10022609)
KASHIWAMURA Shohei  Nagoya Univ., College of General Education, Prof., 教養部, 教授 (80023563)
佐野 和博  三重大学, 教育学部, 助教授 (40201537)
山田 一雄  名古屋大学, 教養部, 教授 (10022542)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1991: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1990: ¥400,000 (Direct Cost: ¥400,000)
KeywordsHeavy Electrons / Cuprate Superconductors / Strongly Correlated Electrons / Fermi Liquid Theory / Hubbard Model / t-J Model / d-p Model / Cooper Pairing vs Bose Condensation / pーd模型 / 異方的超伝導 / ハバ-ドモデル / tーJモデル / 高温超伝導 / フェルミ液体 / フラストレ-ション
Research Abstract

Main purpose of this research project has been to clarify the origin of anomalous behaviors of normal state of strongly correlated fermion systems and the mechanism of their superconductivity. The following progress has been achieved. (1)On the basis of "duality theory", which incorporates explicitly the dual nature of itinerant and localized characters common to strongly correlated electrons, both tlie systematics of metamagnetism and tlie origin of extremely weak antiferromagnetism of heavy electron systems has been explained qulitatively. It has also been shown on the same formalism that anomalous temperature and "hole"-concentration dependence of cuprates can be elucidated. (2)Nature of d-p model has been investigated systematically by 1/N-expansion technique. In particular, structure of one-electron states has been calculated over the low- and high-energy region, and nature of metal-insulator transition and charge fluctuations has been clarified. (3)On the basis of numerical diagonalization method, it has been clarified how the effect of frustrations is reflected on a realization condition of spin liquid state in quantum Heisenberg spin systems and a possibility of separation of charge- and spin-degrees of freedom in t-J model. (4)The effect of pair fluctuations on two-dimensional superconductor has been studied both by the Nozieres&Schmitt-Rink formalism and the modecoupling formalism, and a certain progress towards comprehensive description of crossover phenomenon between Cooper-pair condensation and Bose condensation of "di-electronic molecules" has been achieved.

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (63 results)

All Other

All Publications (63 results)

  • [Publications] K.Miyake: "Itinerant-Localized Duality Model for Heavy Fermious and Strongly Correlated Metals" Physica B. 171. 20-29 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Sano: "The Ground State and Gapless Excitations for a Two-Dimensional Frustrated Antiferromagnet" Journal of the Physical Society of Japan. 60. 3807-3817 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] I.Doi: "Hole Motion in One-Dimensional t-J-J' MOdel" Physica B. 165&166. 1025-1026 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D.S.Hirashima: "Anomalous Temperature Dependence of the Lower Critical Fields in High-Temperature Superconductors" Journal of the Physical Society of Japan. 59. 24-27 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Takano: "Origin of Resonating-Valence-Bond States for a Hubbard-Type Model" Physical Review B. 39. 7367-7370 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y.O^^-no: "Electronic State of Strongly Correlated Electrons" Physica C. 159. 875-877 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] I.Doi: "Ground State with Soliton in One-Dimensional t-t'-J-J' Model" Physical Review B. 45. 274-284 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A.Tokumitu: "Crossover between Cooper-Pair Condensation and Bose-Einstein Condensation of"Di-Electronic Molecules"in Two-Dimensional Superconductors" Progress of Theoretical Physics (Supplement). 106. 63-73 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A.Tokumitu: "A Self-Consistent Theory of the Pair Fluctuations in the Two-Dimensional Fermi Superfluidity" Journal of the Physical Society of Japan. 60. 380-383 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D.S.Hirashima: "Metal Insulator Transition and Charge Fluctuation in the d-p Model" Journal of the Physical Society of Japan. 60. 2269-2284 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D.S.Hirashima: "Charge Fluctuation in the d-p Model-Effects of the Repulsive Interaction between d-and p-Holes" Journal of the Physical Society of Japan. 60. 1864-1868 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A.Tokumitu: "Attractive Channel for Cooper Pairing with"s"-Symmetry Driven by the Wavenumber-Dependent Renormalization of p-and d-Electrons Forming the Fermi Quasiparticles on CuO_2 Plane of High-T_C Cuprates" Physica C. 185-189. 1623-1624 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] I.Doi: "Ground State with Soliton in One-Dimensional t-t'-J-J'Model" Physical Review B. 45. 274-284 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A.Tokumitu: "Crossover between Cooper-Pair Condensation and Bose-Einstein Condensation of"Di-Electronic Molecules"in Two-Dimensional Superconductors" Progress of Theoretical Physics (Supplement). 106. 63-73 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Miyake: "Itinerant-Localized Duality Model for Heavy Fermions and Strongly Correlated Metals" Physica B. 171. 20-29 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Sano: "The Ground State and Gapless Excitations for a Two-Dimensional Frustrated Antiferromagnet" Journal of the Physical Society of Japan. 60. 3807-3817 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D.S.Hirashima: "Metal-Insulator Transition and Charge Fluctuation in the d-p Model" Journal of the physical Society of Japan. 60. 2269-2284 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D.S.Hirashima: "Charge Fluctuation in the d-p Model-Effects of the Repulsive Interaction between d-and p-holes-" Journal of the Physical Society of Japan. 60. 1864-1868 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Miyake: "Relation between Resistivity and Effective Mass in Heavy Fermion and,A15 Compounds" Solid State Communication. 71. 1149-1153 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] I. Doi, K. Sano and K. Takano: "Ground State with Soliton in One-Dimensional t-t'-J-J' Model" Phys. Rev. B. 45, No. 12. 274-284 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A. Tokumitu, K. Miyake and K. Yamada: "Crossover between Cooper-Pair Condensation and Bose-Einstein Condensation of "Di-Electronic Molecules" in Two-Dimensional Superconductors" Prog. Theor. Phys.Suppl. 106. 63-73 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A. Tokumitu, K. Miyake and K. Yamada: "A Self-Consistent Theory of the Pair Fluctuations in the Two-Dimensional Fermi Superfluidity" J. Phys. Soc. Jpn.60, No. 2. 380-383 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D. S. Hirashima, Y. Ono, K. Miura, T. Matsuura and H. Jichu: "Metal-Insulator Transition and Charge Fluctuation in the d-p Model" J. Phys. Soc. Jpn.60, No. 7. 2269-2284 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D. S. Hirashima, Y. Ono, T. Matsuura and Y. Kuroda: "Charge Fluctuation in the d-p Model - Effects of the Repulsive Interaction between d- and p-Holes -" J. Phys. Soc. Jpn.60, No. 6. 1864-1868 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A. Tokumitu and K. Miyake: "Attractive Channel for Cooper Pairing with "s"-Symmetry Driven by the Wavenumber-Dependent Renormalization of p- and d-Electrons Forming the Fermi Quasi particles on CuO_2 Plane of High-T_c Cuprates" Physica. C 185-189. 1623-1624 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Miyake and Y. Kuramoto: "Itinerant-Localized Duality Model for Heavy Fermions and Strongly Correlated Metals" Physica. B 171. 20-29 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Sano, I. Doi and K. Takano: "The Ground State and Gapless Excitations for a Two-Dimensional Frustrated Antiferromagnet" J. Phys. Soc. Jpn.60. 3807-3817 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] I. Doi, K. Sano and K. Takano: "Hole Motion in One-Dimensional t-J-J' Model" Physica. V 165&166. 1025-1026 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] D. S. Hirashima and T. Matsuura: "Anomalous Temperature Dependence of the Lower Critical Fields in High-Temperature Superconductors" J. Phys. Soc. Jpn.59, No. 1. 24-27 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Takano and K. Sano: "Origin of Resonating-Valence-Bond States for a Hubbard-Type Model" Phys. Rev.B 39, No. 10. 7367-7370 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y. Ono and T. Matsuura: "Electronic State of Strongly Correlated Electrons" Physica. C 159. 875-877 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Miyake, T. Matsuura and C. M. Varma: "Relation between Resistivity and Effective Mass in Heavy Fermion and A15 Compounds" Solid State Commun.71. 1149-1153 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Miyake: "ItinerantーLocalized Duality Model for Heavy Fermions and Strongly Correlated Metals" Physica B. 171. 20-29 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Sano: "The Ground State and Gapless Excitations for a TwoーDimensional Frustrated Antiferromagnet" Journal of the Physical Society of Japan. 60. 3807-3817 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] I.Doi: "Hole Motion in OneーDimensional tーJーJ^1 Model" Physica B. 165&166. 1025-1026 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] D.S.Hirashima: "Anomalous Temperature Dependence of the Lower Critical Fields in HighーTemperature Superconductors" Journal of the Physical Society of Japan. 59. 24-27 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Takano: "Origin of ResonatingーValenceーBond States for a HubbardーType Model" Physical Review B. 39. 7367-7370 (1989)

    • Related Report
      1991 Annual Research Report
  • [Publications] Y.O^^~no: "Electronic State of Strongly Correlated Electrons" Physica C. 159. 875-877 (1989)

    • Related Report
      1991 Annual Research Report
  • [Publications] I.Doi: "Ground State with Soliton in OneーDimensional tーt^1ーJーJ^1 Model" Physical Review B. 45. 274-284 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] A.Tokumitu: "Crossover between CooperーPair Condensation and BoseーEinstein Condensation of “DiーDlectronic Molecules"in TwoーDimensional Superconductors" Progress of Theoretical Physics(Supplement). 106. 63-73 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] A.Tokumitu: "A SelfーConsistent Theory of the Pair Fluctuations in the TwoーDimensional Fermi Superfluidity" Journal of the Physical Society of Japan. 60. 380-383 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] D.S.Hirashima: "Metal Insulator Transition and Charge Fluctuation in the dーp Model" Journal of the Physical Society of Japan. 60. 2269-2284 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] D.S.Hirashima: "Charge Fluctuation in the dーp modelーEffects of the Repulsive Interaction between dーand pーHoles" Journal of the Physical Society of Japan. 60. 1864-1868 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] A.Tokumitu: "Attractive Channel for Cooper pairing with“s"ーSymmetry Driven by the WavenumberーDependent Renormalization of pーand dーelectrons Forming the Fermi Quasiparticles on CuO_2 Plane of HighーT_C Cuprates" Physica C. 185ー189. 1623-1624 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] I.Doi: "Ground State with Soliton in OneーDimensional tーt^1ーJーJ^1 Model" Physical Review B. 45. 274-284 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] A.Tokumitu: "Crossover between CooperーPair Condensation and BoseーDinstein Condensation of “DiーElectronic Molecules"in TwoーDimensional Superconductors" Progress of Theoretical Physics(Supplement). 106. 63-73 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Miyake: "ItinerantーLocoalized Duality Model for Heavy Fermions and Strongly Correlated Metals" Physica B. 171. 20-29 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Sano: "The Ground State and Gapless Excitations for a TwoーDimensional Frustrated Antiferromagnet" Journal of the Physical Society of Japan. 60. 3807-3817 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] D.S.Hirashima: "MetalーInsulator Transition and Charge Fluctuation in the dーp Model" Journal of the physical Society of Japan. 60. 2269-2284 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] D.S.Hirashima: "Charge Fluctuation in the dーp ModelーEffects of the Repulsive Interaction between dーand pーholesー" Journal of the Physical Society of Japan. 60. 1864-1868 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Miyake: "Relation between Resistivity and Effective Mass in Heavy Fermion and,A15 Compounds" Solid State Communication. 71. 1149-1153 (1989)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Miyake,Y.Kuramoto: "ItinerantーLocalized Duality Model for Heavy Fermions and Strongly Correlated Metals" Physica B. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] A.Tokumitu,K.Miyake,K.Yamada: "A SelfーConsistent Theory of the Pair Fluctuations in the TwoーDimensional Fermi Superfluidity" Journal of the Physical Society of Japan. 60. 380-383 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Y.Kuramoto,K.Miyake: "Quantum Phenomenology for HeavyーFermion Systems I.Formulation of the Duality Model" Journal of the Physical Society of Japan. 59. 2831-2840 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Miyake,Y.Kuramoto: "Theory of Metamagnetism and Weak Antiferromagnetism of Heavy Fermions Based on the Duality Model" Journal of Magnetism and Magnetic Materials. 90&91. 438-440 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] A.Tokumitu,K.Miyake,K.Yamada: "Effect of Repulsion among Fermion Pairs on the Problem of Crossover between CooperーPair and BoseーEinstein Condensation" Physica B. 165&166. 1039-1040 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] I.Doi,K.Sano,K.Takano: "Hole Motion in OneーDimensional tーJーJ'Model" Physica B. 165&166. 1025-1026 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Miyake,T.Matsuura,C.M.Varma: "Relation between Resistivity and Effective Mass in Heavy-Fermion and A15 Compounds" Solid State Communications. 71. 1149-1153 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Y.Kuramoto,K.Miyake: "Quantum Phenomenology for Heavy-Fermion Systems I.Formulation of the Duality Model" Journal of the Physical Society of Japan.

    • Related Report
      1989 Annual Research Report
  • [Publications] K.Miyake,Y.Kuramoto: "Theory of Metamagnetism and weak Antiferromagnetism of Heavy Fermions Based on the Duality Model" Journal of Magnetism and Magnetic Materials.

    • Related Report
      1989 Annual Research Report
  • [Publications] A.Tokumitsu,K.Miyake,K.Yamada: "Effect of Repulsion among Fermion Pairs on the Problem of Crossover between Cooper-Pair and Bose-Einstein Condensation" Physica B.

    • Related Report
      1989 Annual Research Report
  • [Publications] K.Takano,K.Sano: "Origin of Resonating-Valence-Bond Stares for a Hubbard-Type Model" Phycical Review B. 39. 7367-7370 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] D.S.Hirashima,T.Matsuura: "Anomalous Temperature Dependence of the Lower Critical Fields in High-Temperature Superconductors" Journal of the Physical Society of Japan. 59. 24-27 (1989)

    • Related Report
      1989 Annual Research Report

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Published: 1990-04-01   Modified: 2021-09-24  

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