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Anderson transition in interacting electron systems

Research Project

Project/Area Number 11640381
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionSophia University

Principal Investigator

OHTSUKI Tomi  Sophia Univ., Dept. Phys., Professor, 理工学部, 教授 (50201976)

Co-Investigator(Kenkyū-buntansha) KAWARABAYASHI Tohru  Sophia Univ., Dept. Phys., Lecturer, 理学部, 講師 (90251488)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2001: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1999: ¥2,300,000 (Direct Cost: ¥2,300,000)
Keywordsfinite size scaling / Anderson transition / spin-orbit interaction / Coulomb gap / Coulomb glass / double exchange system / Conductance distribution / UCF / 量子相転移 / スケーリング / クーロン ギャップ / 遺伝的アルゴリズム / ランダム磁場 / クーロンギャップ / simulated annealing
Research Abstract

The main objective of this research is to investigate the disorder induced metal-insulator transition in interacting electron systems. This problem is really difficult but there still are hints. In 2D electron systems in high magnetic fields, the interacting electron systems can be mapped to the systems with randomly varying magnetic fluxes. We have simulated this random flux systems numerically. We are planning to investigate the case where the fluctuations of fluxes are not only spatially but also temporally in the future project. Another possible approach is the scaling theory. For that purpose, we have analyzed in detail the Anderson transition in non-interacting systems, especially the boundary condition effect and the conductance distribution.
The two dimensional Anderson transition is of interest even in the absence of interaction. That in the presence of spin-orbit interactions is especially interesting. We have determined the critical exponent of this system precisely, and investigated the effect of dephasing.
We have also investigated the classical Coulomb gap using the genetic algorithm. The quantum Coulomb glass has also been investigated using the method of level statistics.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] H.Watanabe et al.: "Electron transport and time-dependent…"J.Phys.Soc.Jpn.. (to be published). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Asada, K.Slevin, T.Ohtsuki: "Anderson transition in 2D systems…"Phys.Rev.Lett.. 89. 256601-1-256601-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Slevin, P.Markos, T.Ohtsuki: "Reconciling conductance fluctuations…"Phys.Rev.Lett.. 86. 3594-3597 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Slevin, T.Ohtsuki: "Numerical verification of universality…"Phys.Rev.B. 63. 045108-1-045108-5 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Slevin, T.Ohtsuki et al.: "Topology dependent…"Phys.Rev.Lett.. 84. 3915-3918 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Slevin, T.Ohtsuki: "Corrections to Scaling…"Phys.Rev.Lett.. 82. 382-385 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 大槻東巳: "不規則電子系の金属絶縁体転移"共立出版. 68 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Watanabe et al.: "Electron transport and time …"J. Phys. Soc. Jpn.. (to be published). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Asada, K. Slevin, T. Ohtsuki: "Anderson transition in 2D …"Phys. Rev. Lett.. 89. 256601-1-256601-4 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Slevin, P. Markos, T. Ohtsuki: "Reconciling conductance fluctuations …"Phys. Rev. Lett.. 86. 3594-3597 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Slevin, T. Ohtsuki: "Numerical Verification of …"Phys. Rev.. B63. 045108-1-045108-5 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Slevin, T. Ohtsuki, T. Kawarabayashi: "To pology dependent quantity …"Phys. Rev. Lett.. 84. 3915-3918 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Slevin, T. Ohtsuki: "Corrections to scaling …"Phys. Rev. Lett.. 82. 382-385 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Slevin, P. Markos, T. Ohtsuki: "Reconciling conductance fluctuations and the scaling theory of localisation"Physical Review Letters. 86. 3594-3597 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Slevin,T.Ohtsnki & T.Kawara-bayashi: "Topolgy dependent quantities at the Anderson transition"Phys.Rev.Lett. 84. 3915-3918 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Slevin & T.Ohtsuki: "Numerical verification of universality for …"Phys.Rev.. B63. 045108 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Slevin,P.Maikos & T.Ohtsuki: "Reconciling conductance fluctuation and the scoling…"Phys.Rev.Lett.. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Slevin & T.Ohtsuki: "Corrections to Scaling at the Anderson Transition"Phys.Rev.Lett.. 82. 382-385 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A.Kaneko & T.Ohtsuki: "3D Quantum Percolation studied by Level Statistics"J.Phys.Soc.Jpn. 68. 1488-1491 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Kawarabayashi,B.Kramer & T.Ohtsuki: "Numerical study on Anderson Transitions in 3D"Annalen der Physi k. 8. 487-496 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Ohtsuki,K.Slevin & T.Kawarabayashi: "Review of Recent Progress on numerical"Annalen der Physi k. 8. 655-664 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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