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Numerical Study on Strongly Correlated Electron Systems with Parallel Computers

Research Project

Project/Area Number 11640333
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 InstitutionUniversity of Tsukuba

Principal Investigator

TSUNETSUGU Hirokazu  University of Tsukuba, Institute of Materials Science, Associate Professor, 物質工学系, 助教授 (80197748)

Co-Investigator(Kenkyū-buntansha) MOTOME Yukitoshi  University of Tsukuba, Institute of Materials Science, Research Associate, 物質工学系, 助手 (40323274)
SHIBATA Nokazu  University of Tokyo, Institute of Physics, Research Associate, 大学院・総合文化研究科, 助手 (40302385)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2000: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1999: ¥2,500,000 (Direct Cost: ¥2,500,000)
Keywordsstrongly correlated electrons / numerical diagonalization / quantum Monte Carlo simulation / DMRG / Kondo lattice model / parallel computer / t-J model / double exchange model / 数値計算 / 動的相関関数 / スピン励起 / ラッティンジャー液体 / t―J模型
Research Abstract

In this research project, we have performed large-scale numerical study on the ground state and thermodynamic properties of strongly correlated electron systems. Parallel computers with several hundreds of nodes, supercomputers with high vectorization performance, and workstation clusters are used to carry on various types of numerical simulations. Summary of the obtained results is the following.
The one-dimensional Kondo lattice model is studied by the density-matrix renormalization-group method. We have calculated the dynamic correlation function of local spin and charge correlations for the hole doped case. We find small new energy scales upon hole doping, and we discuss the relationship between these energy scales and collective excitations in the luttinger-liquid ground state. We also demonstrate the competition between the RKKY interaction of local spins and the Kondo screening due to itinerant electrons, based on the results of the antiferromagnetic spin susceptibility.
We have calculated the single-electron spectrum and pairing correlations in the two-dimensional t-J model, to study the correlation of (π, 0) level and the d-wave superconductivity. We show that the superconductivity could be enhanced by level tuning of the (π, 0) level to the Fermi energy by artificial design of electron hoppings.
We have performed the quantum Monte-Carlo parallel simulations on the three-dimensional double exchange model using large-scale workstation/PC clusters. The critical exponent of ferromagnetic transition in this model is determined.
We have developed and improved various routines and tools for parallelized numerical diagonalization of the t-J model.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] N.Shibata: "Dynamic Correlations in Doped 1D Kondo Insulator"J.Phys.Soc.Jpn.. 68. 3138-3141 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu: "Control of Superconducting Correlations in High-Tc Cuprates"J.Phys.Soc.Jpn.. 68. 3162-3165 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu: "Electron Coherence and Pairing Correlations in the 2D Correlated Electron System"Physica B. 281&282. 790-791 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakano: "Incoherent Charge Dynamics in Perovskite Manganese Oxides"J.Phys.Soc.Jpn.. 69. 1282-1285 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Motome: "Effects of Boson Dispersion in Fermion-Boson Coupled Systems"Phys.Rev.B. 62. 12800-12811 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Shibata: "Dynamic Properties of the Doped Kondo Insulator in One Dimension"Physica B. 281&282. 311-312 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Motome: "Critical Temperature of Ferromagnetic Transition in Three-Dimensional Double-Exchange Models"J.Phys.Soc.Jpn.. 69. 3785-3788 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu: "Antiferromagnetic Quantum Spins on the Pyrochlore Lattice"J.Phys.Soc.Jpn.. 70. 640-643 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 常次宏一: "有限温度密度行列繰り込み群とその数理"応用数理. 1D-3. 34-44 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Shibata et al.: "Dynamic Correlations in Doped 1D Kondo Insulator"J.Phys.Soc.Jpn.. 68. 3138-3141 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu et al.: "Control of Superconducting Correlations in High-Tc Cuprates"J.Phys.Soc.Jpn.. 68. 3162-3165 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu et al.: "Electron Coherence and Pairing Correlations in 2D Correlated Electron System"Physica B. 281&282. 790-791 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakano et al.: "Incoherent Charge Dynamics in Perovskite Manganese Oxides"J.Phys.Soc.Jpn.. 68. 3138-3141 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Motome et al.: "Effects of Boson Dispersion in Fermion-Boson Coupled Systems"Phys.Rev.B. 62. 12800-12811 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Shibata et al.: "Dynamic Properties of the Doped Kondo Insulator in One Dimension"Physica B. 281&282. 311-312 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Motome et al.: "Critical Temperature of Ferromagnetic Transition in Three-Dimensional Double-Exchange Models"J.Phy.Soc.Jpn.. 69. 3785-3788 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu: "Antiferromagnetic Quantum Spins on the Pyrochlore Lattice"J.Phys.Soc.Jpn.. 70. 640-643 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunetsugu et al.: "Numerics of Finite-Temperature Density-Matrix Renormalization Groups"Bull.Jpn.Soc.Ind.Appl.Math.. 10-3. 34-44 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hirokazu Tsunetsuga: "Antiferromagnetic Quantum Spins on the Pyrochlore Lattice"J.Phys.Soc.Jpn. 70・3印刷中. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yukitoshi Motome: "Critical Temperature of Ferromagnetic Transition in Three-Dimensional Double-Exchange Models"J.Phys.Soc.Jpn.. 69. 3785-3788 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yukitoshi Motome: "Effects of Boson Dispersion in Fermion-Boson Coupled Systems"Phys.Rev.B. 62. 12800-12811 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 常次宏一: "有限温度密度行列繰り込み群とその数理"応用数理. 10・3. 34-44 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Zaokazu Shibata: "Dynamic properties of the doped Kondo insulator in one dimension"Physica B. 281・282. 311-312 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] N.Shibata and H.Tsunetsugu: "Dynamic Correlations in Doped 1 D Kondo Insulator"Journal of Physical Society of Japan. 68・10. 3138-3141 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Arai and H.Tsunetsugu: "Electronic Structure of the ladder-chain compound Sr_<14-x>Ca_xCu_<24>O_<41>"Computational Materials Science. 14. 159-162 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Tsunetsugu and M.Imada: "Control of Supercomducting Correlations in High―Tc Cuprates"Journal of Physical Society of Japan. 68・10. 3162-3165 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2020-05-15  

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