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Physics of Low Dimensional Electron Systems

Research Project

Project/Area Number 05640411
Research Category

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

Allocation TypeSingle-year Grants
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionOsaka University (1995)
Kyoto University (1993-1994)

Principal Investigator

KAWAKAMI Norio  Osaka University, Dept.of Material and Life Science, Professor, 工学部, 教授 (10169683)

Co-Investigator(Kenkyū-buntansha) NAGAOKA Yosuke  Kyoto University, Yukawa Inst.for Theoretical Physics, Professor, 基礎物理学研究所, 教授 (60022539)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1995: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1993: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsLow-dimensional systems / Exact solution / Conforaml field theory / Randomness / Mesoscopic Systems
Research Abstract

In this research project, we have studied the effect of electron correlations on low-dimensional electron systems, and have applied the obtained results to explain some experimental findings. In particular, we have used the methods of exact solution and conformal field theory (CFT). We briefly summarize the obtained results.
(1) Electron systems with ladder structure :
In order to understand characteristic properties of the oxide compounds Sr_<n-1>Cu_<n+1>O_<2n>, we have studied the coupled Hubbard chain by means of bosonization techniques.
(2) Critical properties of impurity systems :
By using the exact solution of the Kondo effect and CFT,we have studied the critical behavior of impurity systems. Two kinds of critical exponents have been found, which characterize the Fermi liquid and the orthogonality catastrophe.
(3) Multi-band effects on 1D electron systems :
The one-dimensional supersymmetric t-J model with two-band structure has been studied by using the exact solution and CFT.The two-band effect on the Mott insulator has been clarified.
(4) Transport coefficients in exclusion statistics :
We have calculated transport coefficients for many-particle systems obeying exclusion statistics. We have obtained the relation of the statistical interaction to transport coefficients.
(5) Conductance fluctuations in quantum wires :
The conductance fluctuations in mesoscopic quantum wires have been investigated. In the strongly localized regime, the conductance fluctuation can be explained by resonance tunneling.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] T. Fukui: "Haldane's Fractional Exclusion Statistics for Multicomponent Systems" Phys. Rev. B. 51. 5239-5243 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Itakura: "Heisenberg Model and Supersymmetric t-J Model with Two-Band Structure in One Dimension" J. Phys. Soc. Jpn.64. 2321-2324 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S. Fujimoto: "Exact Finite-Size Spectrum for the Multi-Channel Kondo Model and Kac-Moody Fusion Rules" Phys. Rev. B. 52. 13102-13105 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Yamamoto: "Critical Properties of the Calogero-Sutherland Model with Boundaries" J. Phys. A. 29. 317-327 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 青木秀夫: "物理学論文選集:物性物理における場の理論的方法" 日本物理学会, 272 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Fukui and N.Kawakami: "Haldane's Fractional Exclusion Statistics for Multicomponent Systems" Phys.Rev.B. Vol.51. 5239-5243 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Itakura and N.Kawakami: "Heisenberg Model and Supersymmetric t-J Model with Two-Band Structure in One Dimension" J.Phys.Soc.Jpn.Vol.64. 2321-2324 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Fujimoto and N.Kawakami: "Exact Finite-Size Spectrum for the Multi-Channel Kondo Model and Kac-Moody Fusion Rules" Phys.Rev.B. Vol.52. 13102-13105 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Yamamoto, N.Kawakami and S.-K.Yang: "Critical Properties of the Calogero-Sutherland Model with Boundaries" J.Phys.A. Vol.29. 317-327 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Fukui: "Haldane's Fractional Exclusion Statistics for Multicomponent Systems" Phys.Rev.B. 51. 5239-5243 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Itakura: "Heisenberg Model and Supersymmetric t-J Model with Two-Band Structure in One Dimension" J.Phys.Soc.Jpn. 64. 2321-2324 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] S.Fujimoto: "Exact Finite-Size Spectrum for the Multi-Channel Kondo Model and Kac-Moody Fusion Rules" Phys.Rev.B. 52. 13102-13105 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Yamamoto: "Critical Properties of the Calogero-Sutherland Model with Boundaries" J.Phys.A. 29. 317-327 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 青木秀夫: "物理学論文選集:物性物理における場の理論的方法" 日本物理学会, 272 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] S.Fujimoto: "Microscopic Calculations of the Finite-Size Spectrum in the Kondo Problem" Phys.Rev.B59. 1046-1056 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Vacek: "Eigenfunctions for SU(U)Particles with 1/r^2 Interaction in Harmonic Confinement" J.Phys.A27. L201-L206 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Fujimoto: "Bosonization Approach to the One-Dimensional Kondo-Lattice Model" J.Phys.Soc.Jpn.63. 4322-4326 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Fukui: "Haldane's Fractional Exclusion Statistics for Multicomponent Systems" Phys.Rev. B51(発表予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Tankei: "Conductance Fluctuation in Mesoscopic Quantum Wires" J.Phys.Soc.Jpn.63. 1090-1103 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Higurashi: "Coulomb Blockade and Current-voltage Characteristics of Ultrasmall Double Tunnel Junctions with External Circuits" Phys.Rev.B51(発表予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] A.Okiji: "Correlation Effects in Low-Dimensional Electron Systems" Springer-Verlag, 215 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 長岡洋介: "統計力学" 岩波, 153 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Kawakami: "Novel Hierarchy of SU(N) Electron Models and Edge States of Fractional Quantum Hall Effect" Phys.Rev.Lett.71. 275-278 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Fujimoto: "Persistent Currents in Mesoscopic Hubbar Rings with Spin-Orbit Interaction" Phys.Rev.B48. 17406-17412 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kawakami: "Renormalized Harmonic-Oscillator Description of Confined Systems with Inverse-Square Interaction" J.Phys.Soc.Jpn.62. 4163-4166 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Vacek: "Confined Quantum Sysatems in One Dimension and Conductance Oscilaltions in Narow Channels" Phys.Rev.B49. 4635-4639 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kawakami: "Critical Behavior of Quantum Models with 1/r^2 Long-Range Interaction" Prog.Theor.Phys.91. 189-218 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Tankei: "Conductance Fluctuations in Mesoscopic Quantum Wires 1/r^2 Long-Range Interaction" J.Phys.Soc.Jpn.63. 1090 (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2020-05-15  

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