Analytic study on edge states in topological superconductors and superfluids

2013 Fiscal Year Final Research Report

• Project/Area Number: 24840048
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Condensed matter physics II
• Research Institution: Institute 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
• 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.

Research Products

• [Journal Article] Mass Current at a Domain Wall in Superfluid ^3He A-Phase (2014)
  • Author(s): Y. Tsutsumi
  • Journal Title: Journal of Low Temperature Physics Volume: 176 Pages: 51-55
  • DOI: 10.1007/s10909-013-0968-5
  • Peer Reviewed
• [Journal Article] UPt3 as a Topological Crystalline Superconductor (2013)
  • 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 Pages: 113707-1-5
  • DOI: 10.7566/JPSJ.82.113707
  • Peer Reviewed
• [Journal Article] Chiral Symmetry Breaking in Superfluid ^3He-A (2013)
  • Author(s): H. Ikegami, Y. Tsutsumi, and K. Kono
  • Journal Title: Science Volume: 341 Pages: 59-62
  • DOI: 10.1126/science.1236509
  • Peer Reviewed
• [Journal Article] Surface Bound States and Spontaneous Current in Cyclic d-Wave Superconductors (2013)
  • Author(s): M. Ishikawa, Y. Tsutsumi, M. Ichioka, and K. Machida
  • Journal Title: Journal of the Physical Society of Japan Volume: 82 Pages: 043711-1-5
  • DOI: 10.7566/JPSJ.82.043711
  • Peer Reviewed
• [Presentation] Topological Vortex Bound State in Superfluid ^3He B-Phase (2014)
  • 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)
  • Year and Date: 20140806-13
• [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)
  • Year and Date: 20140417-19
• [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)
  • Year and Date: 20140327-30
• [Presentation] Topological mass current on a domain wall in superfluid ^3He A-phase (2014)
  • Author(s): Y. Tsutsumi
  • Organizer: APS March Meeting 2014
  • Place of Presentation: Denver (USA)
  • Year and Date: 20140303-07
• [Presentation] UPt3 as a Topological Crystalline Superconductor (2013)
  • 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
  • Year and Date: 20131219-21
• [Presentation] UPt3 as a Topological Crystalline Superconductor (2013)
  • 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)
  • Year and Date: 20131022-26
• [Presentation] UPt3 as a Topological Superconductor (2013)
  • 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
  • Year and Date: 20130805-09
• [Presentation] Mass Current at a Domain Wall in Superfluid ^3He A-Phase (2013)
  • 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)
  • Year and Date: 20130801-06
• [Presentation] トポロジカル超伝導体としてのUPt3 (2013)
  • 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
  • Year and Date: 20130326-29
• [Presentation] Topological current at an interface between superfluid ^3He A-phases (2013)
  • Author(s): Y. Tsutsumi
  • Organizer: APS March Meeting 2013
  • Place of Presentation: Baltimore (USA)
  • Year and Date: 20130318-22
• [Remarks]
  • URL: http://www.riken.jp/lab-www/cond-mat-theory/tsutsumi/