• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A new approach to the Anderson transition in electron systems with Coulomb interactions

Research Project

Project/Area Number 26400393
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionOsaka University

Principal Investigator

Slevin Keith  大阪大学, 理学研究科, 准教授 (90294149)

Research Collaborator Ohtsuki Tomi  
Kettemann Stefan  
Harashima Yosuke  
Project Period (FY) 2014-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsdisordered systems / Anderson transition / critical phenomena / doped semiconductors / Coulomb interaction / Kondo effect / quantum Hall effect / Doped semiconductors / semiconductor physics / Anderson localisation / Anderson localization
Outline of Final Research Achievements

Using extensive numerical simulations, this project has contributed to a better understanding of the critical phenomena of the Anderson transition both in simplified models, and in more realistic models of the metal-insulator transition in doped semiconductors. We studied the dimensionality dependence of the critical exponent of the Anderson transition in simplified models in detail numerically and found the results to be in reasonable agreement with analytical predictions. We also studied the effect of magnetic impurities on the Anderson transition and found the results to be consistent with analytical theoretical predictions. We also found evidence that the critical exponent (and hence the universality class of the phase transition) is changed by the long-range Coulomb interaction between electrons.

Academic Significance and Societal Importance of the Research Achievements

本プロジェクトは,ランダムポテンシャルと電子 - 電子相互作用の両方を含む問題を扱っている。この問題は,物性物理学において最も困難なものの一つである。この研究プロジェクトの学術的意義は2つあると思われる。まず、この研究はアンダーソン遷移を説明するために提案された理論的な考え方が正しいという確信を与えた。第二に、この研究はランダムポテンシャルと電子 - 電子相互作用を(近似的にではあるが)同等に扱う研究への道を示唆した。

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (15 results)

All 2019 2018 2017 2016 2015 2014

All Journal Article (6 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 6 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (9 results) (of which Int'l Joint Research: 2 results,  Invited: 4 results)

  • [Journal Article] Critical Exponent of the Anderson Transition Using Massively Parallel Supercomputing2018

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

      Journal of the Physical Society of Japan

      Volume: 87 Issue: 9 Pages: 094703-094703

    • DOI

      10.7566/jpsj.87.094703

    • NAID

      130007647933

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Borel-Pade Re-summation of the β-functions Describing Anderson Localisation in the Wigner-Dyson Symmetry Classes2017

    • Author(s)
      Yoshiki Ueoka and Keith Slevin
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 9 Pages: 094707-094707

    • DOI

      10.7566/jpsj.86.094707

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Anderson metal-insulator transitions with classical magnetic impurities2016

    • Author(s)
      Daniel Jung, Stefan Kettemann and Keith Slevin
    • Journal Title

      Physical Review B

      Volume: 93 Issue: 13

    • DOI

      10.1103/physrevb.93.134203

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Estimate of the Critical Exponent of the Anderson Transition in the Three and Four-Dimensional Unitary Universality Classes2016

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

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 10 Pages: 104712-104712

    • DOI

      10.7566/jpsj.85.104712

    • NAID

      210000134129

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Critical exponent of metal-insulator transition in doped semiconductors: The relevance of the Coulomb interaction2014

    • Author(s)
      Yosuke Harashima and Keith Slevin
    • Journal Title

      Physical Review B

      Volume: 89 Issue: 20

    • DOI

      10.1103/physrevb.89.205108

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dimensional Dependence of Critical Exponent of the Anderson Transition in the Orthogonal Universality Class2014

    • Author(s)
      Yoshiki Ueoka and Keith Slevin
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 83 Issue: 8 Pages: 084711-084711

    • DOI

      10.7566/jpsj.83.084711

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] Estimation of Lyapunov exponents using massively parallel supercomputing2019

    • Author(s)
      Keith Slevin
    • Organizer
      Spectra of Random Operators and Related Topics
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Distribution of the Kondo temperature at the Anderson transition2019

    • Author(s)
      Keith Slevin
    • Organizer
      Japanese Physical Society Annual Meeting
    • Related Report
      2018 Annual Research Report
  • [Presentation] High precision estimation of the critical exponent of the Anderson transition using massively parallel supercomputing2018

    • Author(s)
      Keith Slevin
    • Organizer
      EDGE RECONSTRUCTION: TRANSPORT AND QUANTUM PHASE TRANSITIONS
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Critical exponent of the Anderson transition using massively parallel supercomputing2018

    • Author(s)
      Keith Slevin
    • Organizer
      DISORDERED SYSTEMS: FROM LOCALIZATION TO THERMALIZATION AND TOPOLOGY
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Lower critical dimension of the symplectic symmetry class in the Anderson localisation problem: Borel-Pade re-summation of the beta-function2017

    • Author(s)
      Keith Slevin
    • Organizer
      Nanophysics, from fundamental to applications
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Critical Exponent of the Anderson Transition using Massively Parallel Supercomputing2017

    • Author(s)
      Keith Slevin
    • Organizer
      Japan Physical Society Annual Meeting
    • Related Report
      2017 Research-status Report
  • [Presentation] Anderson-Transitions with Classical Magnetic Impurities2016

    • Author(s)
      Keith Slevin
    • Organizer
      Physical Society of Japan Autumn Meeting
    • Place of Presentation
      Kanazawa, Japan
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Dimensionality dependence of the critical exponent of the Anderson transition2016

    • Author(s)
      Keith Slevin
    • Organizer
      Anderson Localisation in Topological Insulators Workshop
    • Place of Presentation
      Daejeong, Korea
    • Year and Date
      2016-09-05
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Anderson Transition Open Problems2015

    • Author(s)
      Keith Slevin
    • Organizer
      Delocalisation Transition in Disordered Systems
    • Place of Presentation
      APCTP, Pohang, Korea
    • Year and Date
      2015-07-27
    • Related Report
      2015 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2020-03-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi