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Investigation of the effect of electron correlation on the transport properties in the bilayer quantum Hall systems

Research Project

Project/Area Number 10640301
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅰ(光物性・半導体・誘電体)
Research InstitutionThe University of Tokyo

Principal Investigator

YOSHIOKA Daijiro  The University of Tokyo, Graduate school of Arts and Sciences, Multi-Disciplinary Sciences - Basic Science, 大学院・総合文化研究科, 教授 (30114713)

Co-Investigator(Kenkyū-buntansha) OGATA Masao  The University of Tokyo, Graduate school of Arts and Sciences, Multi-Disciplinary Sciences - Basic Science, 大学院・総合文化研究科, 助教授 (60185501)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1999: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1998: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsquantum Hall effect / edge state / bilayer quantum Hall system / strong magnetic field / two-dimensional electrons / one-dimensional electrons / skyrmion / composite fermion / 2次元電子系
Research Abstract

In this research we tried to clarify theoretically what kind of ground states are realized, how the edge behaves, how the tunneling between layers and the interlayer and intralayer Coulomb interactions affect the transport properties of the bilayer systems. We also tried to use the knowledge thus obtained to propose experiments to clarify the ground state properties of the bilayer systems. It is known that the bilayer systems behave similarly to that with spin freedom. Therefore, we first investigated skyrmion, which is known to exist in spin systems, and which will play an important role in the bilayer systems, and we obtained the wave function to describe the skyrmion. Next, we established a set of rules to describe the condition of the quantum phase transition between different spin polarization in the hierarchical states of the quantum Hall effect. In the quantum Hall states, tunneling between the edges determine the transport properties, and the tunneling depends on the ground state. So, we investigated how the tunneling depends on the ground states for the filling factor of 1/(2p+1), and we obtained the electric potential dependence, which reflects the properties of the ground state. This means that in the fractional quantum Hall states there are non-linearity in the two-point conductance, longitudinal conductance, and Hall conductance, from which we can extract the properties of the ground state. We are now pursuing investigations for hierarchical states and for the states where interlayer correlation is essential. By the way, there are discrepancies between the standard edge theory by Wen and experiments for the case of tunneling between single layer and three-dimensional system, the origin of the discrepancy being unexplained. In the experiment we have proposed in the present research tunneling in a different situation is used. Therefore, if the proposed experiment will be done, it will help to resolve the discrepancy.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] Daijiro Yoshioka: "Wave Function of the Largest Skyrmion on a Sphere"J. Phys. Soc. Jpn.. 67. 3356-3359 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Comment on "Effective Mass and g factor of Four-Flux-Quanta Composite Fermions""Phys. Rev. Lett.. 83. 886-886 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.-I. Imura: "Theory of Suppressed shot noise at ν=2/(2P+1)"Europhys. Lett.. 47. 83-89 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masaya Ishihara: "Spectral Functions of One-Dimensional Electron Systems with Ising-like Spin Gap"J. Phys. Soc. Jpn.. 68. 350-353 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kentaro Nomura: "QHE of Bilayer Systems in the Presence of Tunneling -ν= 1/q case -"J. Phys. Soc. Jpn.. 68. 2502-2505 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Composite Fermion with Spin Freedom"J. Phys. Soc. Jpn.. 68. 3360-3363 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Composite Fermion with Spin Freedom"Physica E. 6. 83-86 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Edge state transport of separately contacted bilayer systems in the fractional quantum Hall regime"Physica E. 6. 632-635 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 小形正男: "朝永・ラッティンジャー液体としての量子細線"個体物理. 34. 416-422 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 吉岡大二郎: "2層量子ホール系"個体物理. 34. 423-428 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Wave Function of the Largest Skyrmion on a Sphere"J. Phys. Soc. Jpn.. 67-10. 3356-3359 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Comments on "Effective mass and g-factor of four flux quanta composite fermions"Phys. Rev. Lett.. 83-4. 886 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. -I. Imura: "Theory of Suppressed shot noise at υ =2/(2p+1)"Europhys. Lett.. 47-1. 83-89 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masaya Ishihara: "Spectral Functions of One-Dimensional Electron Systems with Ising-Like Spin Gap"J. Phys. Soc. Jpn.. 68-2. 350-353 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kentaro Nomura: "QHE of Bilayer Systems in the Presence of Tunneling - υ =1/q case -"J. Phys. Soc. Jpn.. 68-8. 2502-2505 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Composite Fermion with Spin Freedom"J. Phys. Soc. Jpn.. 68-10. 3360-3363 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka,: "Composite fermion with a spin freedom"Physica E. 6-1-4. 83-86 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Edge State Transport of Separately Contacted Bilayer Systems in the Fractional Quantum Hall Regime"Physica E. 6-1-4. 632-635 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Ogata, Masao: "Quantum wire as a Tomonaga-Luttinger liquid (in Japanese)"Solid State Physics. 34-5. 416-422 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Yoshioka, Daijiro: "Bilayer quantum Hall systems (in Japanese)"Solid State Physics. 34-5. 423-428 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Daijiro Yoshioka: "Wave Function of the Largest Skyrmion on a Sphere"Journal of the Physical Society of Japan. 67・10. 3356-3359 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] Daijiro Yoshioka: "Comment on "Effective Mass and g Factor of Four-Flux-Quanta Composite Fermions""Physical Review Letters. 83・4. 886-886 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kentaro Nomura: "QHE of Bilayer Systems in the Presence of Tunneling -V=1/q case-"Journal of the Physical Society of Japan. 68・8. 2502-2505 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Daijiro Yoshioka: "Composite Fermions with Spin Freedom"Journal of the Physical Society of Japan. 68・10. 3360-3363 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Daijiro Yoshioka: "Composite fermions with a spin freedom"Physica E. 6・1-4. 83-86 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Daijiro Yoshioka: "Edge state transport of separately contacted bilayer systems in the fractional quantum Hall regime"Physica E. 6・1-4. 632-635 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Daijiro Yoshioka: "Wave Function of the Largest Skyrmion on a Sphere" Journal of the Physical Society of Japan. 67・10. 3356-3359 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Daijiro Yoshioka: "Comment on “Effective mass and g-factor of fiur flux quanta composite fermicns"" Physical Review Letlers. 82(未定). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 吉岡大二郎: "2層量子ホール系" 固体物理. 34・5(未定). (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2020-05-15  

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