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Theoretical calculation of the electronic structure of topological insulators

Research Project

Project/Area Number 24540328
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

ISHIDA Hiroshi  日本大学, 文理学部, 教授 (60184537)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywordsトポロジカル絶縁体 / 表面エネルギーバンド / 密度汎関数法 / 動的平均場理論 / 時間反転対称性 / スピン軌道相互作用 / Rashba効果 / バンド反転 / スピントロニクス / 表面Diracバンド / embedded Green関数法 / 表面ディラック状態 / 第一原理計算 / エムベディッドGreen関数法 / 強相関ヘテロ構造 / エムベッディッドGreen関数法
Outline of Final Research Achievements

We have conducted a theoretical study of topological band insulators, whose electronic structure is characterized by their metallic surface states. In our study, instead of adopting the standard slab approximation, we treated truly semi-infinite crystal surfaces by using the embedded Green's function technique of Inglesfield. We performed first-principles calculations within density functional theory to reveal the energy dispersion relation of the surface bands of topological band insulators such as Bi2Se3. Also, we developed a method to judge if a band insulator is topologically trivial or nontrivial from the behavior of its embedding potential within a projected bulk energy band gap. Parallel to this, we studied the electronic structure at the interface between a topological band insulator and a strongly correlated Mott insulator by applying the layer dynamical mean-field theory to a model tight-binding Hamiltonian with a local Coulomb repulsion energy.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (7 results)

All 2015 2014 2012 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 3 results,  Open Access: 1 results) Presentation (2 results) Remarks (1 results)

  • [Journal Article] Electronic structure of the 4x4 silicene monolayer on semi-infinite Ag(111)2015

    • Author(s)
      H. Ishida, Y. Hamamoto, Y. Morikawa, E. Minamitani, R. Arafune, N. Takagi
    • Journal Title

      New Journal of Physics

      Volume: 17 Issue: 1 Pages: 015013-015013

    • DOI

      10.1088/1367-2630/17/1/015013

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Rashba spin splitting of Shockley surface states on semi-infinite crystals2014

    • Author(s)
      H. Ishida
    • Journal Title

      Physical Review B

      Volume: 90 Issue: 23

    • DOI

      10.1103/physrevb.90.235422

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Buried topological edge state associated with interface between topological band insulator and Mott insulator2014

    • Author(s)
      H. Ishida, A. Liebsch
    • Journal Title

      Physical Review B

      Volume: 90 Issue: 20

    • DOI

      10.1103/physrevb.90.205134

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Coulomb blockade and Kondo effect in the electronic structure of Hubbard molecules connected to metallic leads: A finite-temperature exact-diagonalization study2012

    • Author(s)
      H. Ishida and A.Liebsch
    • Journal Title

      Physical Review B

      Volume: 86 Issue: 20

    • DOI

      10.1103/physrevb.86.205115

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Novel topological insulator phase induced by proximity effects at the interface between a topological band insulator and a Mott insulator: A layer DMFT approach2014

    • Author(s)
      H. Ishida, A. Liebsch
    • Organizer
      New Trends in Topological Insulators 2014
    • Place of Presentation
      ベルリン、ドイツ連邦共和国
    • Year and Date
      2014-07-07 – 2014-07-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] エムベッディッドGreen関数法による金属表面でのRashba効果の研究

    • Author(s)
      石田浩
    • Organizer
      第4回分子アーキテクトニクス研究会
    • Place of Presentation
      東京大学・本郷キャンパス
    • Related Report
      2013 Research-status Report
  • [Remarks] 石田研究室・研究内容

    • URL

      http://zwo.phys.chs.nihon-u.ac.jp/research.html

    • Related Report
      2014 Annual Research Report

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Published: 2013-05-31   Modified: 2020-05-15  

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