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Scaling theory of topological insulators

Research Project

Project/Area Number 15H03700
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

Ohtsuki Tomi  上智大学, 理工学部, 教授 (50201976)

Co-Investigator(Kenkyū-buntansha) SLEVIN KEITH  大阪大学, 理学研究科, 准教授 (90294149)
井村 健一郎  広島大学, 先端物質科学研究科, 助教 (90391870)
Project Period (FY) 2015-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥10,920,000 (Direct Cost: ¥8,400,000、Indirect Cost: ¥2,520,000)
Fiscal Year 2018: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Keywordsトポロジカル絶縁体 / ワイル半金属 / ディラック半金属 / スケーリング理論 / 量子相転移 / 状態密度 / アンダーソン転移 / 転送行列 / 量子ホール効果 / 状態密度スケーリング / 相図 / コンダクタンス / スケーリング / 臨界指数 / トポロジカル超伝導体
Outline of Final Research Achievements

At the phase transition of topological insulators in three dimensions, the band gap closes and Dirac/Weyl semimetal phases are realized. These topological semimetals are robust against randomness, but eventually undergo diffusive metal transition. The critical behavior of this semimetal-diffusive metal transition is described by the density of state scaling.
In this study, we have demonstrated that the scaling of the density of states is valid in many situations. In addition, scaling behaviors of conductance/group velocity is discussed.

Academic Significance and Societal Importance of the Research Achievements

トポロジカル物質は近年非常に多くの興味を集めている。一方,トポロジカル数は並進対称性が存在するクリーンな系で定義されており,ランダムな系での振る舞いは自明ではない。本研究ではランダムネスが存在する場合にも適用可能な状態密度のスケーリングなどを用いて,トポロジカルな系の相転移を統一的に記述した。

Report

(5 results)
  • 2019 Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (31 results)

All 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (5 results) Journal Article (14 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 14 results,  Open Access: 3 results,  Acknowledgement Compliant: 9 results) Presentation (9 results) (of which Int'l Joint Research: 7 results,  Invited: 7 results) Book (1 results) Remarks (2 results)

  • [Int'l Joint Research] 北京大/物理学会(中国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] 北京大学(中国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] 北京大学(中国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Nang Yang University(Singapore)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Beijing University(China)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] 多層畳み込みニューラルネットワークによるランダム電子系の相図2018

    • Author(s)
      大槻東巳,真野智裕
    • Journal Title

      固体物理

      Volume: 53 Pages: 447-454

    • NAID

      40021660301

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [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] 機械学習・深層学習と物性物理2018

    • Author(s)
      大槻東巳
    • Journal Title

      パリティ

      Volume: 33 Pages: 6-10

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unconventional scaling theory in disorder-driven quantum phase transition2018

    • Author(s)
      X. Luo, T. Ohtsuki, R. Shindou
    • Journal Title

      Phys. Rev. B

      Volume: 98 Issue: 2

    • DOI

      10.1103/physrevb.98.020201

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Quantum multicriticality in disordered Weyl semimetals2018

    • Author(s)
      X. Luo, B. Xu, T. Ohtsuki, R. Shindou
    • Journal Title

      Physical Review B

      Volume: 97 Issue: 4

    • DOI

      10.1103/physrevb.97.045129

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions2017

    • Author(s)
      Tomi Ohtsuki, Tomoki Ohtsuki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 4 Pages: 044708-044708

    • DOI

      10.7566/jpsj.86.044708

    • NAID

      210000134343

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Integer quantum magnon Hall plateau-plateau transition in a spin-ice model2016

    • Author(s)
      B. Xu, T. Ohtsuki, R. Shindou
    • Journal Title

      Physical Review B

      Volume: 94 Issue: 22 Pages: 220403-220403

    • DOI

      10.1103/physrevb.94.220403

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Comparative study of Weyl semimetal and topological/Chern insulators: Thin-film point of view2016

    • Author(s)
      Y. Yoshimura, W. Onishi, K. Kobayashi, T. Ohtsuki, K.-I. Imura
    • Journal Title

      Physical Review B

      Volume: 94 Issue: 23 Pages: 235414-235414

    • DOI

      10.1103/physrevb.94.235414

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [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 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems2016

    • Author(s)
      Tomoki Ohtsuki, Tomi Ohtsuki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 12 Pages: 123706-123706

    • DOI

      10.7566/jpsj.85.123706

    • NAID

      40021030899

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 乱れのある3次元トポロジカル物質における量子相転移2016

    • Author(s)
      小林浩二,大槻東巳,井村健一郎
    • Journal Title

      固体物理

      Volume: 51 Pages: 576-576

    • NAID

      40020984487

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Effect of disorder in a three dimensional layered Chern insulator2016

    • Author(s)
      S. Liu, T. Ohtsuki, R Shindou
    • Journal Title

      Physical Review Letters

      Volume: 116 Issue: 6 Pages: 066401-066401

    • DOI

      10.1103/physrevlett.116.066401

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dimensional crossover of transport characteristics in topological insulator nanofilms2015

    • Author(s)
      K. Kobayashi, K.-I. Imura, Y. Yoshimura and T. Ohtsuki
    • Journal Title

      Phys. Rev. B

      Volume: 92 Issue: 23 Pages: 235407-235407

    • DOI

      10.1103/physrevb.92.235407

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Modification and Control of Topological Insulator Surface States Using Surface Disorder2015

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

      Physical Review Applied

      Volume: 3 Issue: 6 Pages: 064006-064006

    • DOI

      10.1103/physrevapplied.3.064006

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Detecting topological and non-topological quantum phase transitions using neural network2018

    • Author(s)
      Tomi Ohtsuki
    • Organizer
      Edge Reconstruction: Transport and Quantum Phase Transitions
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Applications of deep 3D convolutional neural network to Anderson and quantum percolation models2018

    • Author(s)
      T. Ohtsuki
    • Organizer
      Anderson Localization and Interactions
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Detection of Quantum Phase Transitions in Disordered Systems Using Convolutional Neural Network2018

    • Author(s)
      T. Ohtsuki
    • Organizer
      日本物理学会シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 深層学習によるランダムなトポロジカル物質相の判定2017

    • Author(s)
      大槻東巳
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学,豊中市,大阪府
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Scaling of Dirac/Weyl semimetal to metal transition2016

    • Author(s)
      Tomi Ohtsuki
    • Organizer
      Anderson Localization in Topological Insulators
    • Place of Presentation
      IBS, Daejeon, Korea
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effect of disorder in three dimensional layered Chern insulator2016

    • Author(s)
      Tomi Ohtsuki
    • Organizer
      Recent progress and perspectives in topological insulators: quantum Hall effects, ballistic vs. diffusive regimes and Anderson transitions
    • Place of Presentation
      KITP, Beijing, China
    • Year and Date
      2016-04-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Disordered Chern insulator and Weyl semimetal2015

    • Author(s)
      T. Ohtsuki
    • Organizer
      Spectra of Random Operators and Related Topics
    • Place of Presentation
      慶応大学,神奈川県横浜市港北区
    • Year and Date
      2015-12-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Disordered single and multi-layered Chern insulators2015

    • Author(s)
      T. Ohtsuki
    • Organizer
      Physics of bulk-edge correspondence & its universality From solid state physics to cold atoms
    • Place of Presentation
      筑波大学,東京都文京区
    • Year and Date
      2015-09-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Semimetal to metal transi-on in topological insulators and superconductors2015

    • Author(s)
      T. Ohtsuki
    • Organizer
      Intl Workshop on "Delocalisation Transitions in Disordered Systems"
    • Place of Presentation
      POSTECH, Pohang, Korea
    • Year and Date
      2015-07-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Advanced Topological Insulators2019

    • Author(s)
      Koji Kobayashi, Tomi Ohtsuki, Ken-Ichiro Imura
    • Total Pages
      49
    • Publisher
      Wiley online library
    • ISBN
      9781119407317
    • Related Report
      2018 Annual Research Report
  • [Remarks]

    • Related Report
      2018 Annual Research Report
  • [Remarks] Tomi Ohtsuki's Home Page

    • URL

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

    • Related Report
      2015 Annual Research Report

URL: 

Published: 2015-04-16   Modified: 2022-11-04  

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