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Theoretical Study of Two Dimensional Electronic States in Random Magnetic Fields and Their Transport

Research Project

Project/Area Number 14540317
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

YAKUBO Kousuke  Hokkaido Univ., Grad.School of Eng., Assoc.Prof., 大学院・工学研究科, 助教授 (40200480)

Co-Investigator(Kenkyū-buntansha) NAKAYAMA Tsuneyoshi  Hokkaido Univ., Grad.School of Eng., Prof., 大学院・工学研究科, 教授 (80002236)
SHIMA Hiroyuki  Hokkaido Univ., Grad.School of Eng., Res.Assoc., 大学院・工学研究科, 助手 (40312392)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2004: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2003: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2002: ¥1,800,000 (Direct Cost: ¥1,800,000)
Keywordstwo-dimensional electron / random magnetic field / scaling theory / forced oscillator method / multifractal analysis / transfer matrix method / metal-insulator transition
Research Abstract

The aim of this research is to clarify quantum states of two-dimensional electrons in a random magnetic field and their transport properties by using various numerical techniques which we have developed so far, such as the forced oscillator method, the finite-size multifractal analysis, and the transfer matrix technique in in homogeneous magnetic fields. To this end, we have mainly studied transport properties of two-dimensional electrons in continuous systems subject to random magnetic fields with long range correlations in this year. For realizing a two-dimensional electron system in a random magnetic field experimentally, a possible method is to configure randomly ferromagnetic small particles near the surface of the two-dimensional electron system. In order to study theoretically quantum transport of such a system, we have calculated conductance of a system subject to an in homogeneous magnetic field made by a single magnetic particle by the recursive Green's function method. For t … More his magnetic field, we have a closed line on the electron surface at which B_z=0. Electrons meander around this line (snake orbit). We can expect the Aharonov-Borm effect due to magnetic fluxes threading this loop. The conductance calculated by the recursive Green's function method shows this type of effects. Considering electron spins, the effect of the Berry phase due to a magnetic field rotating adiabatically around the electron has been found. Furthermore, we discovered that the period of Aharonov-Borm oscillation becomes shortened as increasing the strength of the magnetic field. This is because the incident energy of the electron is shifted by the Zeeman energy depending on the electron spin. In this study, we also examined statistical properties of anomalously localized states at the critical point to clarify the effect of fluctuations of random magnetic fields. In particular, we performed preliminary calculations for two-dimensional critical wave functions belonging to the symplectic class. As a result, we found that anomalously localized states at the critical point exist even in infinite systems with a finite probability. This implies that a scaling theory or renormalization group theory can be applied only to typical states. Less

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (37 results)

All 2005 2004 Other

All Journal Article (24 results) Publications (13 results)

  • [Journal Article] Critical level statistics and anomalously localized states at the Anderson transition2005

    • Author(s)
      H.Obuse
    • Journal Title

      Physical Review B 71・3

    • 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] Anomalously localized states and multifractal correlations of critical wave functions in two-dimensional electron systems with spin-orbital interactions2004

    • Author(s)
      H.Obuse
    • Journal Title

      Physical Review B 69・12

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Correlation exponent and anomalously localized states at the critical point of the Anderson transition2004

    • Author(s)
      H.Obuse
    • Journal Title

      Journal of the Physical Society of Japan 73・8

      Pages: 2164-2168

    • 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] Quantized charged transport in adiabatic pumping by a driven double delta-barrier2004

    • Author(s)
      K.Yakubo
    • Journal Title

      The Proceedings of the Sixth International Conference on New Phenomena in Mesoscopic Structures (Elsevier)

      Pages: 259-262

    • 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] Critical transport and anomalously localized states at the Anderson transition2004

    • Author(s)
      H.Obuse
    • Journal Title

      The Proceedings of the Sixth International Conference on New Phenomena in Mesoscopic Structures (Elsevier)

      Pages: 557-561

    • 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] Dielectric anomaly in coupled rotor systems2004

    • Author(s)
      H.Shima
    • Journal Title

      Physical Review B 69

    • NAID

      120000963900

    • 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] Orienting coupled quantum rotors by ultrashort laser pulses2004

    • Author(s)
      H.Shima
    • Journal Title

      Physical Review A 70

    • NAID

      120000957005

    • 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] Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder2004

    • Author(s)
      H.Shima
    • Journal Title

      Physical Review B 70・1

    • NAID

      120000959714

    • 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] Low-temperature anomalies of crystalline Ge with O-impurities2004

    • Author(s)
      H.Shima
    • Journal Title

      Journal of the Physical Society of Japan 83・9

      Pages: 2464-2468

    • NAID

      110001955002

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Glass-like behavior of crystalline Ge with O-impurities at low temperatures2004

    • Author(s)
      H.Shima
    • Journal Title

      Physica status solidi C 1

      Pages: 2884-2887

    • 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] Dielectric response of interacting oxygen defects in germanium2004

    • Author(s)
      H.Shima
    • Journal Title

      Physica status solidi C 1

      Pages: 2933-2936

    • 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] Correlation exponent and anomalously localized states at the critical point of the Anderson transition2004

    • Author(s)
      H.Obuse
    • Journal Title

      Journal of the Physical Society o Japan 73・8

      Pages: 2164-2168

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Localization-delocalization transition in one-Dimensional electron systems with long-range correlated disorder2004

    • Author(s)
      H.Shima
    • Journal Title

      Physical Review B 70・1

    • NAID

      120000959714

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Low-temperature anomalies of crystalline Ge with 0-impurities2004

    • Author(s)
      H.Shima
    • Journal Title

      Journal of the Physical Society of Japan 73・9

      Pages: 2464-2468

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Glass-like behavior of crystalline Ge with at low temperatures2004

    • Author(s)
      H.Shima
    • Journal Title

      Physica status solidi C 1

      Pages: 2884-2887

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Critical level statistics and anomalously localized states at the Anderson transition2004

    • Author(s)
      H.Obuse
    • Journal Title

      Physical Review B 71・3

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Anomalously localized states an multifractal correlations of critical wave functions in two-dimensional electron systems with spin-orbital interactions2004

    • Author(s)
      H.Obuse
    • Journal Title

      Physical Review B 69・12

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Low-temperature anomalies of crystalline Ge with O-impurities2004

    • Author(s)
      H.Shima
    • Journal Title

      Journal of the Physical Society of Japan 73・9

      Pages: 2464-2468

    • NAID

      110001955002

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spatial structures of anomalously localized states in tail regions at the Anderson transition

    • Author(s)
      H.Obuse
    • Journal Title

      Journal of the Physical Society of Japan Supplement (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Breakdown of Anderson localization in disordered quantum chains

    • Author(s)
      H.Shima
    • Journal Title

      Microelectronics Journal (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] Spatial structures of anomalously localized states in tail regions at the Anderson transition

    • Author(s)
      H.Obuse
    • Journal Title

      Journal of the Physical Society of Japan Supplement (発表予定)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Breakdown of Anderson localization in disordered quantum chains

    • Author(s)
      H.Shima
    • Journal Title

      Microelectronics Journal (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial structures of anomalously localized states in tail regions at the Anderson transition

    • Author(s)
      H.Obuse
    • Journal Title

      Journal of the Physical Society of Japan Supplement 発表予定

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Breakdown of Anderson localization in disordered quantum chains

    • Author(s)
      H.Shima
    • Journal Title

      Microelectronics Journal in press

    • Related Report
      2004 Annual Research Report
  • [Publications] H.Obuse: "Anomalously localized states and multifractal correlations of critical wave functions in two-dimensional electron systems with spin-orbital interactions"Phys.Rev.B. 69. 125301-125308 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] F.Yakubo: "Persistent currents in Moebius Strips"Phys.Rev.B. 67. 125319-125324 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Yakubo: "AC current due to photon-assisted tunneling in driven mesoscopic systems"Physica E. 18. 97-98 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Obuse: "Non-universal exponents at the Anderson transition"Physica E. 18. 276-277 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Shima: "Acceleration of the forced oscillator method and its application to a model for glasses"Physica B. 316. 521-523 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Nakayama: "Boson peak and terahertz frequency dynamics of vitreous silica"Rep.Prog.Phys.. 65. 1195-1242 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Nakayama: "Fractal Concepts in Condensed Matter Physics"Springer-Verlag. 241 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Shima: "Acceleration of the forced oscillator method and its application to a model for glasses"Physica B. 316. 521-523 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Yakubo: "Persistent currents in Moebius Strips"Phys.Rev.B. 67(in press). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Nakayama: "The role of buckled molecules for THz dynamics of network glasses"J Non-Cryst.Solids. 307. 73-79 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Nakayama: "Boson peak and terahertz frequency dynamics of vitreous silica"Rep.Prog.Phys.. 65. 1195-1242 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Nakayama: "Microscopic buckling as an origin of the boson peak in network glasses"Physica B. 316. 497-499 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Nakayama: "Fractal Concepts in Condensed Matter Physics"Springer-Verlag(in press). 241 (2003)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2020-05-15  

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