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Integral and Fractional Quantum Hall Effect

Research Project

Project/Area Number 01460037
Research Category

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

Allocation TypeSingle-year Grants
Research Field 固体物性
Research InstitutionGakushuin University

Principal Investigator

KAWAJI Shinji  Gakushuin University, Faculty of Science Professor, 理学部, 教授 (00080440)

Co-Investigator(Kenkyū-buntansha) WAKABAYASHI Junich  Gakushuin University, Faculty of Science Research Associate, 理学部, 助手 (30129225)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥4,500,000 (Direct Cost: ¥4,500,000)
Fiscal Year 1990: ¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1989: ¥2,400,000 (Direct Cost: ¥2,400,000)
Keywordsquantum Hall effect / quantized Hall resistance / fractional quantum Hall effect
Research Abstract

1. High precision measurements of quantized Hall resistance : Relative values of quantized Hall resistances R_H (4) and R_H (2) have been measured for a GaAs/AlGaAs heterostructures. R_H (4) (R_H (2)) was compared with a reference resistor R_R (4) (R_R (2)).The refe rence resistors were calibrated by comparing with a standard resistor of nominal 100 OMEGA whose value is denoted by R_<100>. Measurements of the ratios R_R (4)/R_<100> (2) and R_R (2)/R_<100> were carried out by the use of a self-balancing resistance ratio bridge with a cryogenic current comparator. Results show an appreciable difference between 4_XR_H (4) and 2_XR_H (4) -2_XR_H (2) = (0.038 <plus-minus> 0.018) ppm.
2. Localization of 2-dimensional systems under strong magnetic fields : : Diagonal and Hall conductivities of Si-MOSFETs have been measured at temperatures down to 50 mK and in magnetic fields up to 27 T. Temperature dependence of the peak value of electron concentration derivative of the Hall conductivity shows a plateau at temperatures lower than 0.2 K. Magnetic field dependence of the plateau value shows that the mobility edge is independent on the electron mobility.
3. Experiments related to the fractional quantum Hall effect : Diagonal and Hall resistances of a GaAs/AlGaAs heterostructure with electron mobility of 50m^2/Vs have been measured at temperatures down to 30 mK and in magnetic fields up to 27 T. Strong temperature dependence of the diagonal resistance was observed in a field where the filling factor of f Landau level is smaller than 1/5.

Report

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

    (12 results)

All Other

All Publications (12 results)

  • [Publications] J.Wakabayashi,A.Fukano,S.Kawaji,Y.Koike,and T.Fukase: "Experiments on Localization in Landau Subbands with the Landau Quantum Number O and 1 of Si Inversion Layers" Surface Science. 229. 60-62 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S.Kawaji: "Recent Results of High Magnetic Field Experiments:Localization and Quantized Hall Resistanse" Physica. B164. 50-58 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S.Kawaji: "Localization in the Quantum Hall Effect" High Magnetic Fields in Semiconductor Physics(Springer Series in SolidーState Sciences). (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] J. Wakabayashi, A. Fukano, S. Kawaji, Y. Koike and T. Fukase: "Experiments on Localization in Landau Subbands with the Landau Quantum Number 0 and 1 of Si Inversion Layers" Surface Science. 229. 60-62 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. Kawaji: "Recent Results of High Magnetic Field Experiments : Localization and Quantized Hall Resistance" Physica B. 164. 50-58 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. Kawaji: "Localization in the Quantum Hall Effect" High Magnetic Fields in Semiconductor Physics (Springer Series in Solid-State Sciences, 1991).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] J.Wakabayashi,A,Fukano,S.Kawaji,Y.Koike and T.Fukase: "Experiments on Localization in Landau Subbands with the Landau Quantum Number 0 and 1 of Si Inversion Layers" Surface Science. 229. 60-62 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Kawaji: "Recent Results of High Magnetic Field Experiments:Localization and Quantized Hall Resistance" Physica. B164. 50-58 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Kawaji: "Localization in the Quantum Hall Effect" High Magnetic Fields in Semiconductor Physics(Springer Series in SolidーState Sciences,to be published).

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Yamane;J.Wakabayashi;S.Kawaji: "Experimental Correlation between Diagonal and Hall Conductivities of Silicon Mos Inversion Layers in Strong Magnetic Fields" Journal of the Physical Society of Japan. 58. 1899-1902 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] J.Wakabayashi;M.Yamane;S.Kawaji: "Experiments on the Critical Exponent of Localization in Landau Subbands with the Landau Quantum Numbers 0 and 1 in Si-MOS Inversion Layers" Journal of the Physical Socienty of Japan. 58. 1903-1905 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] J.Wakabayashi;A.Fukase;S.Kawaji;Y.Koike and T.Fukase: "Experiments on Localization in Landau Subbands with the Landau Quantum Number 0 and 1 of Si Inversion Layers" Surface Science.

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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