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Behavior of Composite Fermions and the Stripe Phase Subjected to Short-Period Periodic Potential or Magnetic Field Modulation

Research Project

Project/Area Number 15540305
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics I
Research InstitutionThe University of Tokyo

Principal Investigator

ENDO Akira  The University of Tokyo, Institute for Solid State Physics, Research associate, 物性研究所, 助手 (20260515)

Project Period (FY) 2003 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2004: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2003: ¥2,100,000 (Direct Cost: ¥2,100,000)
KeywordsCharge Density Wave / Stripe Phase / Composite Fermion / Quantum Hall Effect / Geometric Resonance / Positive Magnetoresistance / Magnetoresistance / Two-dimensional Electron Gas / 平面超格子 / 磁気抵抗振動 / ブラッグ反射 / 電子濃度 / ロックイン測定法
Research Abstract

We have experimentally investigated the properties of short period (〜100 nm) unidirectional lateral superlattices in a magnetic field at low temperatures. Unidirectional lateral superlattice samples equipped with a back gate to control the electron density n_e have been fabricated. With these samples, we observed anisotropic magnetoresistance at high Landau levels, which was attributable to the response of the theoretically-predicted stripe phase (a charge density wave state) to the external modulation. We also found an unusual hysteretic behavior accompanying the variation of n_e.
Transport properties of electrons at low magnetic fields have been explored in detail, which can be mapped to the properties of composite Fermions at low effective magnetic fields. We have found that the origin of the well-known positive magnetoresistance is mainly attributable to the drift velocity resulting from incompleted cyclotron orbits, and that the contribution of the channeled orbit is small, in contrast to what have been believed for some fifteen years.
We have uncovered a new class of small-amplitude magnetoresistance oscillation superposed on the positive magnetoresistance. The new oscillation has been attributed, from its dependence on the period of the modulation and on n_e, to the geometric resonance between the modulation period and the width of the "open orbit" resulting from the Bragg reflection by the superlattice.
We have studied the dependence of the modulation amplitude on n_e quantitatively, and have elucidated the effect of finite thickness of the two-dimensional electron gas on the amplitude.

Report

(3 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • Research Products

    (13 results)

All 2005 2004 2003 Other

All Journal Article (11 results) Publications (2 results)

  • [Journal Article] Small amplitude low-field magnetoresistance oscillation in unidirectional lateral superlattices : Geometric resonance of Bragg-reflected cyclotron orbits2005

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Phys.Rev.B 71

      Pages: 81303-81303

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] A new class of small low-field magnetoresistance oscillation in unidirectional lateral superlattice2005

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Proc.Int.Conf.Phys.Semicon. (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dependence of Modulation Amplitude on Electron Density in Unidirectional Lateral Superlattices : The Effect of the Thickness of the Two-dimensional Electron Gas2005

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      J.Phys.Soc.Jpn. 74(in press)

    • NAID

      130004539249

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dependence of Modulation Amplitude on Electron Density in Unidirectional Lateral Superlattices : The Effect of the Thickness of the Two-dimensional Electron Gas2005

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      J.Phys.Soc.Jpn 74 (in press)

    • NAID

      130004539249

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dependence of Modulation Amplitude on Electron Density in Unidirectional Lateral Superlattices : The Effect of the Thickness of the Two-dimensional Electron Gas2005

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      J.Phys.Soc.Jpn. 74(印刷中)

    • NAID

      130004539249

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A new class of small low-field magnetoresistance oscillation in unidirectional lateral superlattice2005

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Proc.Int.Conf.Phys.Semicon. (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Anomalous density dependence of anisotropic resistivity at half-filling of N >=2 Landau levels in short-period unidirectional lateral superlattice2004

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Physica E 22

      Pages: 122-126

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Anomalous density dependence of anisotropic resistivity at half-filling of N【greater than or equal】2 Landau levels in short-period unidirectional lateral superlattice2004

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Physica E 22

      Pages: 122-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Anomalous density dependence ofanisotropic resistivity at half-filing of N>=2 Landau levels in short-period unidirectional lateral superlattice2004

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Physica E 22

      Pages: 122-122

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Anisotropic transport of unidirectional lateral superlattice in high Landau levels2003

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Physica E 18

      Pages: 111-112

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A new class of small low-field magnetoresistance oscillation in unidirectional lateral superlattice

    • Author(s)
      Akira Endo, Yasuhiro Iye
    • Journal Title

      Proc.27th Int Conf.Phys.Semicond (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] Akira Endo, Yasuhiro Iye: "Anomalous density dependence of anisotropic resistivity at half-filling of nu>=2 Landau levels in short-period unidirectional lateral superlattice"Physica E. (in press). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akira Endo, Yasuhiro Iye: "Anisotropic transport of unidirectional lateral superlattice in high Landau levels"Physica E. 18. 111-112 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2020-05-15  

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