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Hierarchy of topological phases and their robustness against disorder

Research Project

Project/Area Number 15K05131
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics I
Research InstitutionHiroshima University

Principal Investigator

Imura Ken-Ichiro  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
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywordsトポロジカル絶縁体 / ワイル半金属 / 薄膜 / バルクエッジ対応 / 非エルミート系 / 非エルミート表皮効果 / トポロジカル量子ポンプ / カイラル表面状態 / 量子輸送 / ナノ薄膜 / 完全伝導チャンネル / 量子スピンホール効果 / 超低消費電力デバイス / アンダーソン局在 / ナノ回路
Outline of Final Research Achievements

The first target of the project was topological insulator thin films. We focused on the systematic evolution of their topological properties as a function of the thickness of the film. Topological classification depends on the dimensionality of the system. We have highlighted this dimensional crossover through spectral and transport properties of topological insulator and Weyl semimetal thin films.

Toward the end of the project we have also considered non-Hermitian topological insulators. Our work, resolving the issues on the bulk-edge correspondence in this system, gave a proper foundation to a non-Hermitian version of the topological insulator.

Academic Significance and Societal Importance of the Research Achievements

トポロジカル絶縁体ナノ薄膜の問題は、トポロジカルな分類の次元性というトポロジカル量子物理学の基本的なパラダイムに直結している。本研究ではこの問題に正面からアプローチし、トポロジカル絶縁体とワイル半金属の大域的な相図について、次元間クロスオーバーという観点からその類似性を明らかにした。このような比較研究は過去に例がなく、トポロジカル量子物理学の研究に新しい視点をもたらしたと言える。
非エルミート・トポロジカル絶縁体は研究中盤から後半にかけて非常に注目されるようになった。バルクエッジ対応はトポロジカル絶縁体という概念の根幹に関わる問題で、本研究ではこれに関して重要な指摘ができたことは意義深い。

Report

(6 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (43 results)

All 2020 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (3 results) Journal Article (7 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 7 results,  Acknowledgement Compliant: 4 results,  Open Access: 1 results) Presentation (27 results) (of which Int'l Joint Research: 14 results,  Invited: 12 results) Book (1 results) Remarks (5 results)

  • [Int'l Joint Research] Victoria University of Wellington(ニュージーランド)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Centre de Physique Theorique(フランス)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Postech(韓国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Generalized bulk-edge correspondence for non-Hermitian topological systems2019

    • Author(s)
      Ken-Ichiro Imura, and Yositake Takane
    • Journal Title

      Phys. Rev. B

      Volume: 100 Issue: 16

    • DOI

      10.1103/physrevb.100.165430

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bulk-edge correspondence in topological transport and pumping2018

    • Author(s)
      Imura Ken-Ichiro、Yoshimura Yukinori、Fukui Takahiro、Hatsugai Yasuhiro
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 969 Pages: 012133-012133

    • DOI

      10.1088/1742-6596/969/1/012133

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Short Ballistic Josephson Coupling in Planar Graphene Junctions with Inhomogeneous Carrier Doping2018

    • Author(s)
      J. Park,J. H. Lee, G.-H. Lee, Y. Takane, K.-I. Imura, T. Taniguchi, K. Watanabe, and H.-J. Lee
    • Journal Title

      Phys. Rev. Lett.

      Volume: 120 Issue: 7

    • DOI

      10.1103/physrevlett.120.077701

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [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 Research-status Report
    • Peer Reviewed / 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 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Manipulating quantum channels in weak topological insulator nano-architectures2015

    • Author(s)
      A. Matsumoto, T. Arita, Y. Takane, Y. Yoshimura, and K.-I. Imura
    • Journal Title

      Phys. Rev. B

      Volume: 92 Issue: 19 Pages: 195424-195424

    • DOI

      10.1103/physrevb.92.195424

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Engineering Dirac electrons emergent on the surface of a topological insulator2015

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

      Science and Technology of Advanced Materials

      Volume: 16 Issue: 1 Pages: 014403-014403

    • DOI

      10.1088/1468-6996/16/1/014403

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Bloch band theory for non-Hermitian bulk-edge correspondence2020

    • Author(s)
      Ken-Ichiro Imura
    • Organizer
      BE/BC2020F (Bulk-Edge/Boundary Correspondence)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Generalized bulk-edge correspondence for non-Hermitian topological systems2019

    • Author(s)
      Ken-Ichiro Imura
    • Organizer
      IIS-Chiba Workshop NH2019TD
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Generalized bulk-edge correspondence for non-Hermitian topological systems2019

    • Author(s)
      Ken-Ichiro Imura
    • Organizer
      IIS-Chiba Workshop NH2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Generalized bulk-edge correspondence for non-hermitian topological systems2019

    • Author(s)
      Ken-Ichiro Imura, Yositake Takane
    • Organizer
      NTTI 2019 and BEC 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多極子トポロジカル絶縁体・ポンプ系とコーナー状態/不変量2018

    • Author(s)
      井村健一郎,桐木達也,林晋,吉村幸徳,中西毅
    • Organizer
      日本物理学会第73回年次大会,領域4, 22pB101-2
    • Related Report
      2017 Research-status Report
  • [Presentation] Multipole topological insulators and pumping: from the viewpoint of bulk-edge and corner correspondence2018

    • Author(s)
      Tatsuya Kiriki, Ken-Ichiro Imura, Yukinori Yoshimura, Shin Hayashi, Takeshi Nakanishi
    • Organizer
      BEC2018: Variety and universality of bulk-edge correspondence in topological phases - From solid state physics to transdisciplinary concepts
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] ワイル半金属とトポロジカル絶縁体の比較研究:バルクエッジ対応と不純物効果2017

    • Author(s)
      井村 健一郎
    • Organizer
      第6回 強相関電子系理論の最前線
    • Place of Presentation
      勝浦観光ホテル,和歌山県那智勝浦市
    • Year and Date
      2017-12-20
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] ワイル半金属薄膜の不純物存在下における輸送特性:カイラル型vs.非カイラル型2017

    • Author(s)
      井村 健一郎
    • Organizer
      科研費基盤研究A(26247064)<<トポロジカル相におけるバルクエッジ対応の物理とその普遍性:固体物理から冷却原子まで>>第5回研究会
    • Place of Presentation
      筑波大学,つくば市
    • Year and Date
      2017-03-22
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] トポロジカル量子ポンプにおけるバルクエッジ対応2017

    • Author(s)
      吉村幸徳, 井村健一郎, 初貝安弘, 福井隆裕
    • Organizer
      日本物理学会第72回年次大会,領域4, 20aB12-6
    • Place of Presentation
      大阪大学豊中キャンパス,大阪市
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] ワイル半金属の表面状態に関する研究:薄膜系におけるバルクエッジ対応と不純物に対する応答2017

    • Author(s)
      井村健一郎, 吉村幸徳, 尾西渉, 桐木達也, 小林浩二, 大槻東巳
    • Organizer
      日本物理学会第72回年次大会,領域4, 20aB12-7
    • Place of Presentation
      大阪大学豊中キャンパス,大阪市
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Comparative study of Weyl semimetal and topological/Chern insulators: bulk-edge correspondence and disorder effects2017

    • Author(s)
      Ken Imura
    • Organizer
      APS March Meeting 2017 (Session H44: Dirac and Wey,l Semimetals: Theory II)
    • Place of Presentation
      Ernest N. Morial Convention Center, New Orleans, USA
    • Year and Date
      2017-03-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Characterizing the Weyl semimetal thin films: chiral vs. non-chiral types2017

    • Author(s)
      Ken Imura
    • Organizer
      Theory of Correlated Topological Materials
    • Place of Presentation
      Institute for Solid State Physics, University of Tokyo
    • Year and Date
      2017-02-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bulk-edge correspondence in topological transport and pumping2017

    • Author(s)
      K.-I. Imura, Y. Yoshimura, T. Fukui and Y. Hatsugai
    • Organizer
      28th International Conference on Low Temperature Physics (LT28)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非共型(メビウス)トポロジカル絶縁体の表面状態に関する理論的考察2017

    • Author(s)
      井村健一郎,田中新
    • Organizer
      日本物理学会2017年秋季大会,領域4, 24aB32-4
    • Related Report
      2017 Research-status Report
  • [Presentation] Comparative study of topological insulators vs. Weyl and Dirac type semimetals: bulk-edge correspondence and robustness against disorder2016

    • Author(s)
      Ken Imura
    • Organizer
      BEC2016: Physics of bulk-edge correspondence and universality - From solid state physics to cold atoms
    • Place of Presentation
      YITP, Kyoto Univ., Kyoto
    • Year and Date
      2016-09-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ワイル半金属とトポロジカル絶縁体の比較研究:薄膜・次元間クロスオーバーとバルクエッジ対応の観点から2016

    • Author(s)
      吉村幸徳, 尾西渉, 小林浩二, 大槻東巳, 井村健一郎
    • Organizer
      日本物理学会2016年秋季大会,領域4, 16aBH-7
    • Place of Presentation
      金沢大学角間キャンパス,金沢
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Comparative study of Dirac/Weyl semimetals and topological/Chern insulators: thin-film point of view2016

    • Author(s)
      Ken Imura
    • Organizer
      Interactions and topology in Dirac systems
    • Place of Presentation
      ICTP Trieste, Italy
    • Year and Date
      2016-08-03
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] トポロジカル絶縁体のZ2性再考2016

    • Author(s)
      井村 健一郎
    • Organizer
      <<トポロジカル相におけるバルクエッジ対応の物理とその普遍性:固体物理から冷却原子まで>>第4回研究会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-25
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] トポロジカル/チャーン絶縁体-ディラック/ワイル電子系における創発的トポロジカル特性(21pBA-1)2016

    • Author(s)
      吉村幸徳,井村健一郎,小林浩二,大槻東巳
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学泉キャンパス
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] トポロジカル絶縁体ナノワイヤー表面状態の頑強性:不純物存在下における局在/非局在の問題(21pBA-4)2016

    • Author(s)
      吉村幸徳, 小林浩二, 大槻東巳, 井村健一郎
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学泉キャンパス
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] トポロジカル絶縁体再考,そして状態密度スケーリングへ2016

    • Author(s)
      井村 健一郎
    • Organizer
      CMSI <<トポロジカル物性と計算物質科学が創出する新物質科学に関する研究会>>
    • Place of Presentation
      東京大学物性研究所
    • Year and Date
      2016-03-08
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Topological insulators and semimetals: surface states, bulk-edge correspondence and disorder effects2016

    • Author(s)
      Ken Imura
    • Organizer
      2016 Xmas Theoretical Physics Symposium
    • Place of Presentation
      Victoria University, Wellington, New Zealand
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Thin film topological insulators: bulk-edge correspondence, dimensional crossover and superlattice generalization2015

    • Author(s)
      Ken-Ichiro Imura
    • Organizer
      Physics of bulk-edge correspondence and its universality: from solid state physics to cold atoms
    • Place of Presentation
      Univ. of Tsukuba, Tokyo Campus
    • Year and Date
      2015-09-27
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] トポロジカル絶縁体超格子系におけるトポロジカルな性質の次元間クロスオーバー(18aAG-5)2015

    • Author(s)
      吉村幸徳, 井村健一郎
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学千里山キャンパス
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
  • [Presentation] 乱れのあるワイル/ディラック半金属における臨界点の性質(19aAG-1)2015

    • Author(s)
      小林浩二, 大槻東巳,井村健一郎,野村健太郎
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学千里山キャンパス
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
  • [Presentation] Delocalization in disordered topological insulators and related systems2015

    • Author(s)
      Ken-Ichiro Imura
    • Organizer
      Delocalization transitions in disordered systems
    • Place of Presentation
      Postech, Pohang, Korea
    • Year and Date
      2015-07-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Density of States Scaling in disordered Dirac and Weyl semimetals2015

    • Author(s)
      Ken- Ichiro Imura
    • Organizer
      Topological & Correlated Matter (Gordon Research Conference)
    • Place of Presentation
      The Hong Kong University of Science and Technology, Hong Kong, China
    • Year and Date
      2015-06-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Book] Advanced Topological Insulator2019

    • Author(s)
      Koji Kobayashi, Tomi Ohtsuki, and K.-I. Imura
    • Total Pages
      414
    • Publisher
      WILEY-Scrivener Publishing LLC
    • ISBN
      9781119407294
    • Related Report
      2018 Research-status Report
  • [Remarks] Ken Imura's web site

    • URL

      https://home.hiroshima-u.ac.jp/imura/

    • Related Report
      2019 Annual Research Report
  • [Remarks]

    • URL

      http://home.hiroshima-u.ac.jp/imura/

    • Related Report
      2017 Research-status Report
  • [Remarks] Ken Imura's web site

    • URL

      http://home.hiroshima-u.ac.jp/imura/

    • Related Report
      2016 Research-status Report 2015 Research-status Report
  • [Remarks] 井村 健一郎(大学院先端物質科学研究科) - 広島大学

    • URL

      http://seeds.office.hiroshima-u.ac.jp/profile/ja.66bc1344d4bf8caa520e17560c007669.html

    • Related Report
      2016 Research-status Report
  • [Remarks] 井村健一郎(大学院先端物質科学研究科)

    • URL

      http://seeds.office.hiroshima-u.ac.jp/profile/ja.66bc1344d4bf8caa520e17560c007669.html

    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2021-02-19  

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