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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
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥4,400,000 (Direct Cost: ¥4,400,000)
Fiscal Year 1991: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1990: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1989: ¥2,300,000 (Direct Cost: ¥2,300,000)
KeywordsEdge States / Nonequilibrium Population / Quantum Hall Effects / Nonlocal Transport / 整数量子ホ-ル効果 / 位相干渉長 / メソスコピック系
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.

Report

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

    (48 results)

All Other

All Publications (48 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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Komiyama: "Theory of Contacts in TwoーDimensional Electron Gas at High Magnetic Fields" Phys.Rev.B. 40. 7767-7775 (1989)

    • Related Report
      1991 Annual Research Report
  • [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)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Komiyama: "Violation of the Integral Quantum Hall Effect:Influence of Backscattering and the Role of Voltage Contacts" Phys.Rev.B. 40. 12566-12569 (1989)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Hirai: "Linear Magnetoresistance to an Inhomogeneous ElectronーDensity Distribution in a TwoーDemensional Electron Gas" Solid State Commun.72. 1033-1037 (1989)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Komiyama: "NonーEquilibrium Population of Edge State and a Role of Contacts in the Quantum Hall Regime" Surface Science. 229. 224-228 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Komiyama: "Influence of Xisordered Contacts on the FourーTerminal Measurements of Intergral Quantum Hall Effects" Solid State Commun.73. 91-95 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Hirai: "A Contact Limited Precision of the Quantized Hall Resistance" J.Appl.Phys.68. 655-662 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Komiyama(Eds.E.M.Anastassakis and J.D.Joannopoulos.World Scientific): "Onset of InterーEdgeーState Relaxation due to Spontaneous" Proc.20th Int.Conf.Physics of Semiconductor.Thessaloniki 1990. 2. 1150-1154 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Komiyama: "Resistance and Resistivity of Two Dimensional Electron Gas at High Magnetic Fields" Solid State Commun.80. 157-162 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Nii: "GeometryーDependent Resistances of Two Dimensional Electron Gas at High Magnetic Fields" Surface Science. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] S.Komiyama: "InterーEdgeーState Scattering and Nonlinear Effects in A TwoーDimensional Electron Gas at High Magnetic Fields" Phys.Rev.B. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Hiral: "Proposed Measurements of the PhaseーCoherence Length in TwoーDimensional Electron Gas at High Magnetic Fields" J.Appl.Phys.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 平井 宏: "量子ホ-ル効果に対するエッジ電流の影響:巨視的領域に現れるメソスコピック現象" 固体物理. 25. 121-127 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Hirai and S.Komiyama: "A Contact limited Precision of the Quantized Hall Resistance" J.Appl.Phys.68. 655-662 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Komiyama,H.Hirai,M.Ohsawa,H.Matsuda,S.Sasa and T.Fujii: "Onset of InterーEdgeーState Relaxation due to Spontaneous Phonon Emission" Proc.20th Int.Conf.Physics of Semiconductor,Thessaloniki 1990 (Eds.E.M.Anastassakis and J.D.Joannopoulos,World Scientific). 1150 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Komiyama and H.Hirai: "Theory of Contacts in a two Dimensional Elect Gas at High Magnetic Fields" Phys.Rev.B40. 7767-7775 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Hirai,S.Komiyama,S.Sasa and T.Fujii: "Quantitative analysis of the Role of Contacts in the Measurements of Integral Quantum Hall Effects" J.Phys.Soc.Jpn.58. 4086-4092 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] S.Komiyama,H.Hirai,S.Sasa and S.Hiyamizu: "Violation of the Integral Quantum Hall Effect:Influenceof Back Scattering and A Role of Voltage Contacts" Phys.Rev.B40. 12566-12569 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Hirai,S.Komiyama,S.Sasa and T.Fujii: "Linear Magnetoresistance Due Toan Inhomogeneous Electron-Density Distribution in a Two-Dimensinal Electron Gas" Solid State Commun.72. 1033-1037 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] S.Komiyama,H.Hirai,S.Sasa and T.Fujii: "Non-equilibrium Population of Edge States and a Role of Contacts in the Quantum Hall Regime" to be published in Surt.Science. (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] S.Komiyama,H.Hirai,S.Sasa and T.Fujii: "Influence of Disordered Contacts on the Four-Termina Measurements of Integral Quantum Hall Effects" Solid State Commun.73. 91-95 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] 平井宏・小宮山進: "量子ホ-ル効果に対するエッヂ電流の影響:巨視的領域に現れるメゾスコピック現象" 固体物理(アグネ技術センタ-), 7 (1990)

    • Related Report
      1989 Annual Research Report

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

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