Theoretical Study of impurity effects in topological insulators and superconductors

• Project/Area Number: 21540332
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Condensed matter physics I
• Research Institution: The Institute of Physical and Chemical Research
• Principal Investigator: FURUSAKI Akira 独立行政法人理化学研究所, 古崎物性理論研究室, 主任研究員 (10238678)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: トポロジカル絶縁体 / トポロジカル超伝導体 / 量子スピンホール効果 / ディラック・フェルミオン / アンダーソン局在 / ネットワーク模型 / マヨラナ・フェルミオン / 近藤効果 / トポロジカル超伝導 / ヘリカル・エッジ状態 / ディラックハミルトニア / マヨラナ状態 / トポロジカル絶緑体 / 量子スピンホール系 / マルチフラクタル / マヨラナ・フェルミ

Research Abstract

Kondo effects of electronic and thermal transport at edges of topological insulators are studied theoretically. Exchange coupling of a magnetic impurity and Majorana fermion edge states in two-dimensional topological superconductors is shown to be anisotropic. Anderson localization caused by impurities in two-dimensional topological insulators and superconductors is studied both analytically and numerically using network models. Furthermore, the classification theory of topological insulators and superconductors is revisited.

Research Products

• [Journal Article] Time-reversal symmetric Kitaev model and topological superconductor in two dimensions (2012)
  • Author(s): R. Nakai, S. Ryu, and A. Furusaki
  • Journal Title: Physical Review B Volume: Vol.85, No.15
  • Peer Reviewed
• [Journal Article] Conductance of a helical edge liquid coupled to a magnetic impurity (2011)
  • Author(s): Y. Tanaka, A. Furusaki, and K. A. Matveev
  • Journal Title: Physical Review Letters Volume: Vol.106, No.23 Pages: 236402-236405
  • Peer Reviewed
• [Journal Article] Conductance of a Helical Edge Liquid Coupled to a Magnetic Impurity (2011)
  • Author(s): Y.Tanaka, A.Furusaki, K.A.Matveev
  • Journal Title: Physical Review Letters Volume: 106 Issue: 23
  • DOI: 10.1103/physrevlett.106.236402
  • Peer Reviewed
• [Journal Article] Chain of Majorana states from superconducting Dirac fermions at a magnetic domain wall (2010)
  • Author(s): T. Neupert, S. Onoda, and A. Furusaki
  • Journal Title: Physical Review Letters Volume: Vol.105, No.20 Pages: 206404-206407
  • Peer Reviewed
• [Journal Article] The Z_2 network model for the quantum spin Hall effect : two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality (2010)
  • Author(s): S. Ryu, C. Mudry, H. Obuse, and A. Furusaki
  • Journal Title: New Journal of Physics Volume: Vol.12, No.6
  • Peer Reviewed
• [Journal Article] Quantum impurity spin in Majorana edge fermions (2010)
  • Author(s): R. Shindou, A. Furusaki, and N. Nagaosa
  • Journal Title: Physical Review B Volume: Vol.82, No.18
  • Peer Reviewed
• [Journal Article] Topological insulators and superconductors : tenfold way and dimensional hierarchy (2010)
  • Author(s): S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig
  • Journal Title: New Journal of Physics Volume: Vol.12, No.6
  • Peer Reviewed
• [Journal Article] Conformal invariance, multifractality, and finite-size scaling at Anderson localization transitions in two dimensions (2010)
  • Author(s): H. Obuse, A. R. Subramaniam, A. Furusaki, I. A. Gruzberg, and A. W. W. Ludwig
  • Journal Title: Physical Review B Volume: Vol.82, No.3
  • Peer Reviewed
• [Journal Article] Chain of Majorana states from superconducting Dirac fermions at a magnetic domain wall (2010)
  • Author(s): T.Neupert, S.Onoda, A.Furusaki
  • Journal Title: Physical Review Letters Volume: 105
  • Peer Reviewed
• [Journal Article] Quantum impurity spin in Majorana edge fermions (2010)
  • Author(s): R.Shindou, A.Furusaki, N.Nagaosa
  • Journal Title: Physical Review B Volume: 82
  • Peer Reviewed
• [Journal Article] The Z_2 network model for the quantum spin Hall effect : two-dimensional Dirac fermions, topological quantum numbers and corner multicriticality (2010)
  • Author(s): S.Ryu, C.Mudry, H.Obuse, A.Furusaki
  • Journal Title: New Journal of Physics Volume: 12
  • Peer Reviewed
• [Journal Article] Topological insulators and superconductors : tenfold way and dimensional hierarchy (2010)
  • Author(s): S.Ryu, A.P.Schnyder, A.Furusaki, A.W.W.Ludwig
  • Journal Title: New Journal of Physics Volume: 12
  • Peer Reviewed
• [Journal Article] Conformal invariance, multifractality, and finite-size scaling at Anderson localization transitions in two dimensions (2010)
  • Author(s): H.Obuse, A.R.Subramaniam, A.Furusaki, I.A.Gruzberg, A.W.W.Ludwig
  • Journal Title: Physical Review B Volume: 82
  • Peer Reviewed
• [Journal Article] The Z2 network model for the quantum spin Hall effect : two dimensional Dirac fermions, topological quantum numbers, and corner multifractality (2010)
  • Author(s): Shinsei Ryu, Christopher Mudry, Hideaki Obuse, Akira Furusaki
  • Journal Title: New Journal of Physics 12(in press)
  • Peer Reviewed
• [Presentation] Topological insulators and superconductors (2011)
  • Author(s): 古崎昭
  • Organizer: The 26^<th> Nishinomiya-Yukawa Memorial International Workshop "Novel Quantum States in Condensed Matter 2011-Correlation, Frustration and Topology-"
  • Place of Presentation: 京都
  • Year and Date: 2011-11-16
• [Presentation] Topological insulators and superconductors (2011)
  • Author(s): 古崎昭
  • Organizer: The 26^<th> Nishinomiya-Yukawa Memorial International Workshop "Novel Quantum States in Condensed Matter 2011-Correlation, Frustration and Topology-"
  • Place of Presentation: 京都大学基礎物理学研究所(京都)(招待講演)
  • Year and Date: 2011-11-16
• [Presentation] 時間反転対称性を持つKitaev模型の拡張 (2011)
  • Author(s): 仲井良太,笠真生,古崎昭
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山
  • Year and Date: 2011-09-21
• [Presentation] 時間反転対称性を持つKitaev模型の拡張 (2011)
  • Author(s): 仲井良太、笠真生、古崎昭
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山大学(富山)
  • Year and Date: 2011-09-21
• [Presentation] Kondo effect in edge states of 2D topological insulators and superconductors (2011)
  • Author(s): 古崎昭
  • Organizer: Topological Insulators and Superconductors(Satellite Conference of LT26)
  • Place of Presentation: 北京、中国
  • Year and Date: 2011-08-19
• [Presentation] Kondo effect in edge states of 2D topological insulators and superconductors (2011)
  • Author(s): 古崎昭
  • Organizer: Topological Insulators and Superconductors (Satellite Conference of LT26)
  • Place of Presentation: 精華大学(北京、中国)(招待講演)
  • Year and Date: 2011-08-19
• [Presentation] Network model for quantum spin Hall effect (2010)
  • Author(s): 古崎昭
  • Organizer: Workshop on Interactions, Disorder, and Topology in Quantum Hall Systems
  • Place of Presentation: Dresden, Germany
  • Year and Date: 2010-06-11
• [Presentation] Network model for quantum spin Hall effect (2010)
  • Author(s): 古崎昭
  • Organizer: Interactions, Disorder, and Topology in Quantum Hall Systems
  • Place of Presentation: Dresden, Germany
  • Year and Date: 2010-06-11
• [Presentation] Conformal invariance and boundary multifractality at Anderson transition in two dimensions (2010)
  • Author(s): 古崎昭
  • Organizer: Workshop on Localization Phenomena of Condensed Matter
  • Place of Presentation: Trieste, Italy
  • Year and Date: 2010-05-21
• [Presentation] Conformal invariance and boundary multifractality at Anderson transition in two dimensions (2010)
  • Author(s): 古崎昭
  • Organizer: Workshop on Localization Phenomena in Novel Phases of Condensed Matter
  • Place of Presentation: Trieste, Italy
  • Year and Date: 2010-05-21
• [Presentation] Classification of topological insulators and superconductors (2009)
  • Author(s): 古崎昭
  • Organizer: RIKEN Workshop on Emergent Phenomena of Correlated Materials
  • Place of Presentation: 和光
  • Year and Date: 2009-12-02
• [Presentation] Classification of topological insulators and superconductors (2009)
  • Author(s): Akira Furusaki
  • Organizer: RIKEN Workshop on Emergent Phenomena of Correlated Materials
  • Place of Presentation: Wako, Japan
  • Year and Date: 2009-12-02