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Universal properties of quantum network models

Research Project

Project/Area Number 18540382
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionSophia University

Principal Investigator

OHTSUKI Tomi (TOMI Ohatsuki)  Sophia University, 理工学部, 教授 (50201976)

Co-Investigator(Kenkyū-buntansha) SLEVIN K.M. (KEITH Martin Slevin)  大阪大学, 大学院・理学系研究科, 准教授 (90294149)
Co-Investigator(Renkei-kenkyūsha) SLEVIN Keith  大阪大学, 大学院・理学系研究科, 准教授 (90294149)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,130,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywords量子ホール効果 / 量子ネットワークモデル / アンダーソン転移 / 量子スピンホール効果 / 普遍性 / 有限サイズスケーリング / 量子ホール転移 / 局在-非局在転移 / 臨界指数 / ネットワークモデル / トポロジカル絶縁体 / 物性基礎論 / 量子相転移 / アンダーソン局在 / 金属絶縁体転移 / Chalker-Coddington模型 / 透過固有値 / ポイントコンタクト伝導
Research Abstract

We have studied in detail the transport properties of the Chalker-Coddington model focusing on its universal quantum transport properties. The critical exponent has been determined with high precision. A new model describing the perfectly conducting channel has been proposed and its transport properties are clarified. We have also studied the quantum spin Hall effect on the basis of a quantum network model that incorporates the spin-orbit interaction, and the transport properties of disordered quantum spin Hall systems have been studied.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (37 results)

All 2009 2008 2007 2006 Other

All Journal Article (24 results) (of which Peer Reviewed: 19 results) Presentation (9 results) Book (2 results) Remarks (2 results)

  • [Journal Article] Critical exponent for the quantum Hall transition2009

    • Author(s)
      K. Slevin, T. Ohtsuki
    • Journal Title

      Phys. Rev. B80

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model2009

    • Author(s)
      K. Kobayashi, T. Ohtsuki, K. Slevin
    • Journal Title

      J. Phys. Soc. Jpn. 78

      Pages: 84708-84708

    • NAID

      130005437796

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Transport properties in network models with perfectly conducting channels2009

    • Author(s)
      K. Kobayashi, K. Hirose, H. Obuse, T. Ohtsuki, K. Slevin
    • Journal Title

      J. Phys. : Conf. Ser. 150

      Pages: 22041-22041

    • Related Report
      2009 Final Research Report 2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model2009

    • Author(s)
      K.Kobayashi, T.Ohtsuki, K.Slevin
    • Journal Title

      J.Phys.Soc.Jpn. 78

    • NAID

      130005437796

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Critical exponent for the quantum Hall transition2009

    • Author(s)
      K.Slevin, T.Ohtsuki
    • Journal Title

      Phys.Rev.B 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2009

    • Author(s)
      大槻東巳(共著)
    • Journal Title

      新・物理学事典(講談社)

      Pages: 40-896

    • Related Report
      2009 Annual Research Report
  • [Journal Article] K. Kobayashi, T. Ohtsuki, K. Slevin2009

    • Author(s)
      Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model
    • Journal Title

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

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Conductance-plateau transitions in quantum Hall wires with spatially correlated random magnetic fields2008

    • Author(s)
      T. Kawarabayshi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
    • Journal Title

      Phys. Rev. B78

      Pages: 205303-205303

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The quantum Hall effect in narrow quantum wires2008

    • Author(s)
      A. Struck, T. Kawarabayashi, A. Zhuravlev, T. Ohtsuki, B. Kramer, S. Kettemann
    • Journal Title

      Physica B 245

      Pages: 393-408

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum transport properties of quantum Hall wires in the presence of correlated disorder2008

    • Author(s)
      T. Kawarabayashi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
    • Journal Title

      Physica E 40

      Pages: 1072-1074

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Chalker-Coddington model described by an S-matrix with odd dimensions2008

    • Author(s)
      K. Hirose, T. Ohtsuki, K. Slevin
    • Journal Title

      Physica E 40

      Pages: 1677-1679

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Conductance-plateau transitions in quantum Hall wires with spatially correlated random magnetic fields2008

    • Author(s)
      T. Kawarabayshi, Y. Ono, T. Oht suki, S. Kettemann, A. Struck, B. Kramer
    • Journal Title

      Physical Review B 78

      Pages: 205303-205303

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum transport in novel Chalker-Coddington model2008

    • Author(s)
      K.Hirose, T. Ohtsuki, K. Slevin
    • Journal Title

      Physica E 40/5

      Pages: 1677-1680

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mesoscopic Hall effect driven by chiral spin order2007

    • Author(s)
      J. Ohe, T. Ohtsuki, B. Kramer
    • Journal Title

      Phys. Rev. B75

      Pages: 245313-245313

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder2007

    • Author(s)
      T. Kawarabayshi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
    • Journal Title

      Phys. Rev. B75

      Pages: 235317-235317

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Network Models and their Symmetry Properties, in "Topological Aspects of Critical Systems and Networks", ed.2007

    • Author(s)
      T. Ohtsuki, K. Slevin K. Yakubo {\it, et al}
    • Journal Title

      World Scientific

      Pages: 214-219

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder2007

    • Author(s)
      T. Kawarabayashi, et. al.
    • Journal Title

      Physical Review B 75

      Pages: 235317-235317

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mesoscopic Hall effect driven by chiral spin order2007

    • Author(s)
      J. Ohe, T. Ohtsuki, B. Kramer
    • Journal Title

      Physical Review B 75

      Pages: 245313-245313

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spin-polarization induced by Rashba spin-orbit coupling in three-terminal devices2006

    • Author(s)
      M. Yamamoto, K. Dittmer, B. Kramer, T. Ohtsuki
    • Journal Title

      Physica E 32

      Pages: 462-465

    • Related Report
      2009 Final Research Report
  • [Journal Article] Quantum transport phenomena in disordered electron systems with spinorbit coupling in two dimensions and below2006

    • Author(s)
      Y. Asada, K. Slevin, T. Ohtsuki
    • Journal Title

      Physica E 34

      Pages: 228-231

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Shubnikov-de Haas effect on conductance fluctuations in two-dimensional random magnetic fields2006

    • Author(s)
      T. Kawarabayashi, T. Ohtsuki
    • Journal Title

      Physica E 34

      Pages: 104-107

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons2006

    • Author(s)
      Yoichi Asada, Keith Slevin, Tomi Ohtsuki
    • Journal Title

      Phys. Rev. B73

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below2006

    • Author(s)
      Yoichi Asada, Keith slevin, Tomi Ohtsuki
    • Journal Title

      Physica E 34

      Pages: 228-228

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Critical exponent for the quantum Hall transition

    • Author(s)
      K. Slevin, T. Ohtsuki
    • Journal Title

      Phys. Rev. B. Rapid Commun (in press)

    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Quantum Network Model and Its Application to Spin Transport2009

    • Author(s)
      T. Ohtsuki
    • Organizer
      WCU workshop on Quantum Phases of Disordered and Correlated Systems
    • Place of Presentation
      Pohang, Korea
    • Year and Date
      2009-08-04
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Numerical Simulations of Anderson Localisation in Systems with Spin-Orbit Scattering2008

    • Author(s)
      Keith Slevin
    • Organizer
      Physics of Nanostructures and Nanomaterials
    • Place of Presentation
      Bariloche,Argentina
    • Year and Date
      2008-12-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] Critical conductance distributions at the localization-delocalization transitions2008

    • Author(s)
      T. Ohtsuki
    • Organizer
      Delocalization Transition and Multifractality
    • Place of Presentation
      Wales Univ., UK
    • Year and Date
      2008-11-04
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Numerical estimates of critical exponents of the Anderson transition2008

    • Author(s)
      K. Slevin
    • Organizer
      Delocalization Transition and Multifractality
    • Place of Presentation
      Wales Univ., UK
    • Year and Date
      2008-11-04
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Critical conductance distributions at the localization delocalization transitions2008

    • Author(s)
      T.Ohtsuki
    • Organizer
      Delocalization Transition and Multifractality
    • Place of Presentation
      Wales, UK
    • Year and Date
      2008-11-04
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Corrections to Scaling and Critical Exponents in the 2D Anderson Transition2008

    • Author(s)
      K. Slevin
    • Organizer
      Network models in quantum physics
    • Place of Presentation
      Jacobs University Bremen, Bremen, Germany
    • Year and Date
      2008-07-23
    • Related Report
      2009 Final Research Report
  • [Presentation] Corrections to Scaling and Critical Exponents in the 2D Anderson Transition2008

    • Author(s)
      K. Slevin
    • Organizer
      Network models in quantum physics
    • Place of Presentation
      Bremen, Germany
    • Year and Date
      2008-07-23
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Corrections to Scaling and Critical Exponents in the 2D Anderson Tran sition2008

    • Author(s)
      Keith Slevin
    • Organizer
      Network models in quantum physics
    • Place of Presentation
      Bremen, Germany
    • Year and Date
      2008-07-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantum transport in novel Chalker-Coddington model2007

    • Author(s)
      K. Hirose, T. Ohtsuki, K. Slevin
    • Organizer
      EP2DS
    • Place of Presentation
      Genova,Italy
    • Year and Date
      2007-07-10
    • Related Report
      2007 Annual Research Report
  • [Book] 新・物理学事典2009

    • Author(s)
      大槻東巳
    • Publisher
      講談社ブルーバックス
    • Related Report
      2009 Final Research Report
  • [Book] 物理学事典2009

    • Author(s)
      大槻東巳
    • Publisher
      講談社ブルーバックス
    • Related Report
      2008 Self-evaluation Report
  • [Remarks]

    • URL

      http://www.ph.sophia.ac.jp/~tomi

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2006-04-01   Modified: 2016-04-21  

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