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1991 Fiscal Year Final Research Report Summary

Integer Quantum Hall Effect in the Presence of Elastic Backscattering of Electrons

Research Project

Project/Area Number 01460029
Research Category

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

Allocation TypeSingle-year Grants
Research Field 固体物性
Research InstitutionUniversity of Tokyo

Principal Investigator

KOMIYAMA Susumu  Univ. of Tokyo, Dept. of Pure & Applied Sciences, Associate Professor, 教養学部, 助教授 (00153677)

Co-Investigator(Kenkyū-buntansha) FUJII Toshio  Fujitsu Laboratories Ltd. Section Manager, 厚木研究所, 主任研究員
MATSUDA Yuji  Univ. of Tokyo, Dept. of Pure & Applied Sciences, Research Associate, 教養学部, 助手 (50199816)
SHIRAKI Yasuhiro  Univ. of Tokyo, Research Center of Advanced Science and Technology, Associate Pr, 先端科学技術センター, 助教授 (00206286)
Project Period (FY) 1989 – 1991
KeywordsEdge States / Nonequilibrium Population / Quantum Hall Effects / Nonlocal Transport
Research Abstract

A nonequilibrium population of electrons in edge states, discovered by our group three years ago, motivated the present research project. Since the discovery, a novel view of integral quantum Hall effects emerged to initiate remarkable developments both in theoretical understanding and in experimental achievements of integral quantum Hall effects. The present research project has made substantial contribution on each stage of the rapid and explosive growth of the research field. The achievements are summarized below :
1) Discovery of remarkable deviation of quantized Hall resistance due to nonequilibrium electron distribution.
2) Understanding and its general formulation of the role played by electrical contacts -when producing and detecting nonequilibrium electron distribution.
3) Quantitative analysis of the effects of contacts in the precision measurements of integral quantum Hall effects.
4) Analysis of inter-edge-state electron scattering and the understanding of its dependence on temperature.
5) Analysis of nonlinear transport effects associated with the nonequilibrium population : Particularly, a prediction of inverted electron population in edge states.
6) Proposal of a general model of conductors that treats nonequilibrium population in standard Hall-bar samples, and the quantitative explanation of experimental results by the model.
7) Proposal of a possible experiments to determine phasecoherence length in a regime of integer quantum Hall effects.
To summarize, the present research project has achieved remarkably improved understanding of the transport properties in two dimensional electron gas at high magnetic fields.

  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] S.Komiyama: "Theory of Contacts in Two-Dimensional Electron Gas at High Magnetic Fields" Phys.Rev.B. 40. 7767-7775 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Hirai: "Quantitative Alaysis of the Role of Contacts in the Measurements of Integral Quantum Hall Effects" J.Phys.Sco.Jpn.58. 4086-4092 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Komiyama: "Violation of the Integral Quantum Hall Effect:Influence of Backscattering and the Role of Voltage Contacts" Rhys.Rev.B. 40. 12566-12569 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Hirai: "Linear magnetoresistance due to an Inhomogeneous Electron-Density Distribution in a Two-Demensional Electron Gas" Solid State Commun.72. 1033-1037 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Komiyama: "Non-Equilibrium Population of Edge State and a Role of Contacts in the Quantum Hall Regime" Surface Science. 229. 224-228 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Komiyama: "Influence of Disordered Contacts on the Four-Terminal Measurements of Intergral Quantum Hall Effects" Solid State Commun.73. 91-95 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Hirai: "A Contact Limited Precision of the Quantized Hall Resistance" J.Appl.Phys.68. 655-662 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Komiyama: "Onset of Inter-Edge-State Relaxation due to Spontaneous Phonon Emission" Proc.20th Int.Conf.Physics of Semiconductor,Thessaloniki (Eds.E.M.Anastassakis and J.D.Joannopoulos,World Scientific. 2. 1150-1154 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 平井 弘: "量子ホ-ル効果に対するエッジ電流の影響ー巨視的領域に現れるメゾスコピック現象" 固体物理. 25. 121-127 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Komiyama: "Resistance and Resistivity of Two Dimensional Electron Gas at High Magnetic Fields" Solid State Commun.80. 157-162 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Nii: "Geometry-Dependent Resistances of Two Dimensional Electron Gas at High Magnetic Fields" Surface Science,. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Komiyama: "Inter-Edge-State Scattering and nonlinear Effects in A Two-Dimensional Electron Gas at High Magnetic Fields" Phys.Rev.B,. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Hirai: "Proposed Measurements of the Phase-Coherence Length in Two-Dimensional Electron Gas at High Magnetic Fields" J.of Appl.Phys.,. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S. Komiyama: "Theory of Contacts in Two-Dimensional Electron Gas at High Magnetic Fields" Phys. Rev.B40. 7767-7775 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Hirai: "Quantitative Alaysis of the Role of Contacts in the Measurements of Integral Quantum Hall Effects" J. Phys. Sco. Jpn.58. 4086-4092 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Komiyama: "Violation of the Integral Quantum Hall Effect : Influence of Backscattering and the Role of Voltage Contacts" Phys. Rev.B40. 12566-12569 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Hirai: "Linear Magnetoresistance due to an Inhomogeneous Electron-Density Distribution in a Two-Demensional Electron Gas" Solid State Commun.72. 1033-1037 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Komiyama: "Non-Equilibrium Population of Edge State and a Role of Contacts in the Quantum Hall Regime" Surface Science. 229. 224-228 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Komiyama: "Influence of Disordered Contacts on the Four-Terminal Measurements of Intergral Quantum Hall Effects" Solid State Commun.73. 91-95 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Hirai: "A Contact Limited Precision of the Quantized Hall Resistance" J. Appl. Phys.68. 655-662 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Komiyama: "Onset of Inter-Edge-State Relaxation due to Spontaneous Phonon Emission" Proc. 20th Int. Conf. Physics of Semiconductor Thessaloniki. 2. 1150-1154 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Hirai: "Influence of edge currents on the Quantum Hall Effects : Mesoscopic Phenomena in macroscopic length scales" Solid State Physics. 25. 121-127 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Komiyama: "Resistance and Resistivity of Two Dimensional Electron Gas at High Magnetic Fields" Solid State Commun.80. 157-162 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Nii: "Geometry-Dependent Resistances of Two Dimensional Electron Gas at High Magnetic Fields" Surface Science. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Komiyama: "Inter-Edge-State Scattering and Nonlinear Effects in A Two-Dimensional Electron Gas at High Magnetic Fields" Phys. Rev. B. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Hirai: "Proposed Measurements of the Phase-Coherence Length in Two-Dimensional Electron Gas at High Magnetic Fields" J. Appl. Phys.(1992)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-03-16  

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