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2018 Fiscal Year Annual Research Report

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

Research Project

Project/Area Number 26400393
Research InstitutionOsaka University

Principal Investigator

SLEVIN KEITH  大阪大学, 理学研究科, 准教授 (90294149)

Project Period (FY) 2014-04-01 – 2019-03-31
Keywordsdoped semiconductors / Coulomb interaction / Kondo effect / Anderson transition
Outline of Annual Research Achievements

In semiconductors, there is a metal-insulator transition (MIT) as a function of doping concentration. We are using computer simulations to understand this transition. We investigated how wavefunction multifractality at the MIT affects the distribution of Kondo temperatures using large-scale simulations. This has implications for the temperature dependence of the magnetic susceptibility at the MIT (with S. Kettemann and T. Ohtsuki). The work (with T. Ohtsuki) on the adaption of the transfer matrix method for massively parallel supercomputers was published and reported at conferences in Korea, Germany and Japan. We continued to investigate the use of machine learning to analyse wavefunctions produced in the simulation of the doped semiconductor (with Y. Harashima, T. Mano and T. Ohtsuki).

  • Research Products

    (5 results)

All 2019 2018

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (4 results) (of which Invited: 3 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 Pages: 094703-1-6

    • DOI

      10.7566/jpsj.87.094703

    • Peer Reviewed
  • [Presentation] Estimation of Lyapunov exponents using massively parallel supercomputing2019

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

    • Author(s)
      Keith Slevin
    • Organizer
      Japanese Physical Society Annual Meeting
  • [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
    • 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
    • Invited

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Published: 2019-12-27  

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