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Analytic study on edge states in topological superconductors and superfluids

Research Project

Project/Area Number 24840048
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Condensed matter physics II
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

TSUTSUMI Yasumasa  独立行政法人理化学研究所, 古崎物性理論研究室, 基礎科学特別研究員 (10631781)

Project Period (FY) 2012-08-31 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords物性理論 / トポロジカル超伝導・超流動 / エッジ状態 / マヨラナフェルミオン / エッジカレント
Research Abstract

We study edge states in topological superconductors and superfluids by solving the Eilenberger equation. We demonstrate that angular momentum by Cooper pairs in the superfluid helium-3 A-phase, which is a topological superfluid, has no relation to edge current because the edge current depends on the boundary condition at the edge strongly. We also demonstrate that UPt3 and PrOs4Sb12, which are topological superconductors, has Fermi arcs in edge states owing to point nodes of their gap functions.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • Research Products

    (23 results)

All 2014 2013 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 1 results) Presentation (18 results) Remarks (1 results)

  • [Journal Article] Mass Current at a Domain Wall in Superfluid ^3He A-Phase2014

    • Author(s)
      Y. Tsutsumi
    • Journal Title

      Journal of Low Temperature Physics

      Volume: 176 Issue: 1-2 Pages: 51-55

    • DOI

      10.1007/s10909-013-0968-5

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] UPt3 as a Topological Crystalline Superconductor2013

    • Author(s)
      Y. Tsutsumi, M. Ishikawa, T. Kawakami, T. Mizushima, M. Sato, M. Ichioka, and K. Machida
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82 Issue: 11 Pages: 113707-113707

    • DOI

      10.7566/jpsj.82.113707

    • NAID

      210000132814

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Chiral symmetry breaking in superfluid 3He-A2013

    • Author(s)
      H. Ikegami, Y. Tsutsumi, and K. Kono
    • Journal Title

      Science

      Volume: 341 Issue: 6141 Pages: 59-62

    • DOI

      10.1126/science.1236509

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Surface Bound States and Spontaneous Current in Cyclic d-Wave Superconductors2013

    • Author(s)
      M. Ishikawa, Y. Tsutsumi, M. Ichioka, and K. Machida
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82 Issue: 4 Pages: 043711-043711

    • DOI

      10.7566/jpsj.82.043711

    • NAID

      40019629074

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Topological Vortex Bound State in Superfluid ^3He B-Phase2014

    • Author(s)
      Y. Tsutsumi, T. Kawakami, K. Shiozaki, M. Sato, and K. Machida
    • Organizer
      The 27th International Conference on Low Temperature Physics (LT27)
    • Place of Presentation
      Buenos Aires (Algentia)
    • Related Report
      2013 Final Research Report
  • [Presentation] 超流動ヘリウム3-B相の量子渦束縛状態とトポロジー2014

    • Author(s)
      堤康雅、川上拓人、塩崎謙、佐藤昌利、町田一成
    • Organizer
      物性研短期研究会「スーパーマターが拓く新量子現象」
    • Place of Presentation
      東京大学物性研究所(千葉県)
    • Related Report
      2013 Final Research Report
  • [Presentation] 超流動ヘリウム3-A相のカイラルドメインにおける質量流2014

    • Author(s)
      堤康雅
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学(神奈川県)
    • Related Report
      2013 Final Research Report
  • [Presentation] Topological mass current on a domain wall in superfluid ^3He A-phase2014

    • Author(s)
      Y. Tsutsumi
    • Organizer
      APS March Meeting 2014
    • Place of Presentation
      Denver (USA)
    • Related Report
      2013 Final Research Report
  • [Presentation] Topological mass current on a domain wall in superfluid 3He A-phase2014

    • Author(s)
      Y. Tsutsumi
    • Organizer
      APS March Meeting 2014
    • Place of Presentation
      Denver (USA)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 超流動ヘリウム3-A相のカイラルドメインにおける質量流2014

    • Author(s)
      堤康雅
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学 (神奈川県)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 超流動ヘリウム3-B相の量子渦束縛状態とトポロジー2014

    • Author(s)
      堤康雅、川上拓人、塩崎謙、佐藤昌利、町田一成
    • Organizer
      物性研短期研究会「スーパーマターが拓く新量子現象」
    • Place of Presentation
      東京大学物性研究所 (千葉県)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Topological Vortex Bound State in Superfluid 3He B-Phase2014

    • Author(s)
      Y. Tsutsumi, T. Kawakami, K. Shiozaki, M. Sato, and K. Machida
    • Organizer
      The 27th International Conference on Low Temperature Physics (LT27)
    • Place of Presentation
      Buenos Aires (Argentina)
    • Related Report
      2013 Annual Research Report
  • [Presentation] UPt3 as a Topological Crystalline Superconductor2013

    • Author(s)
      堤康雅、石川昌樹、川上拓人、水島健、佐藤昌利、市岡優典、町田一成
    • Organizer
      「対称性の破れた凝縮系におけるトポロジカル量子現象」第4回領域研究会
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Final Research Report
  • [Presentation] UPt3 as a Topological Crystalline Superconductor2013

    • Author(s)
      Y. Tsutsumi, M. Ishikawa, T. Kawakami, T. Mizushima, M. Sato, M. Ichioka, and K. Machida
    • Organizer
      International Workshop for Young Researchers on Topological Quantum Phenomena in Condensed Matter with Broken Symmetries
    • Place of Presentation
      カルチャーリゾートフェストーネ(沖縄県)
    • Related Report
      2013 Final Research Report
  • [Presentation] UPt3 as a Topological Superconductor2013

    • Author(s)
      Y. Tsutsumi, M. Ishikawa, T. Kawakami, T. Mizushima, M. Sato, M. Ichioka, and K. Machida
    • Organizer
      International Conference on Strongly Correlated Electron Systems (SCES 2013)
    • Place of Presentation
      東京大学
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Mass Current at a Domain Wall in Superfluid ^3He A-Phase2013

    • Author(s)
      Y. Tsutsumi
    • Organizer
      International Symposium on Quantum Fluids and Solids (QFS2013)
    • Place of Presentation
      くにびきメッセ(島根県)
    • Related Report
      2013 Final Research Report
  • [Presentation] トポロジカル超伝導体としてのUPt32013

    • Author(s)
      堤康雅、石川昌樹、川上拓人、水島健、市岡優典、町田一成
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Topological current at an interface between superfluid ^3He A-phases2013

    • Author(s)
      Y. Tsutsumi
    • Organizer
      APS March Meeting 2013
    • Place of Presentation
      Baltimore (USA)
    • Related Report
      2013 Final Research Report
  • [Presentation] Mass Current at a Domain Wall in Superfluid 3He A-Phase2013

    • Author(s)
      Y. Tsutsumi
    • Organizer
      International Symposium on Quantum Fluids and Solids (QFS2013)
    • Place of Presentation
      くにびきメッセ (島根県)
    • Related Report
      2013 Annual Research Report
  • [Presentation] UPt3 as a Topological Crystalline Superconductor2013

    • Author(s)
      Y. Tsutsumi, M. Ishikawa, T. Kawakami, T. Mizushima, M. Sato, M. Ichioka, and K. Machida
    • Organizer
      International Workshop for Young Researchers on Topological Quantum Phenomena in Condensed Matter with Broken Symmetries
    • Place of Presentation
      カルチャーリゾートフェストーネ (沖縄県)
    • Related Report
      2013 Annual Research Report
  • [Presentation] UPt3 as a Topological Crystalline Superconductor2013

    • Author(s)
      堤康雅、石川昌樹、川上拓人、水島健、佐藤昌利、市岡優典、町田一成
    • Organizer
      「対称性の破れた凝縮系におけるトポロジカル量子現象」第4回領域研究会
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Topological current at an interface between superfluid 3He A-phases2013

    • Author(s)
      Y. Tsutsumi
    • Organizer
      APS March Meeting 2013
    • Place of Presentation
      Baltimore, USA
    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://www.riken.jp/lab-www/cond-mat-theory/tsutsumi/

    • Related Report
      2013 Final Research Report

URL: 

Published: 2012-11-27   Modified: 2020-05-15  

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