Accoustic impedance and surface bound states spectrum of Superfluid Helium3 under magnetic field

• Project/Area Number: 26400364
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Condensed matter physics II
• Research Institution: Hiroshima University
• Principal Investigator: NAGATO Yasushi 広島大学, 情報メディア教育研究センター, 助教 (60294477)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000); Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: 超流動ヘリウム３ / Andreev束縛状態 / 音響インピーダンス / 磁場効果 / 乱雑な境界 / 超流動液体ヘリウム３ / 表面束縛状態 / アンドレーエフ束縛状態 / 超流動液体ヘリウム3

Outline of Final Research Achievements

The Andreev bound states that formed near a surface of the superfluid helium 3-B are recognized in Majorana-Weyl fermion. Experimental observation of the surface bound states in superfluid helium 3 was not performed because it is electrically neutral. Recently we have reported that the transverse acoustic impedance provides useful information on the surface bound states in the superfluid helium 3.
We first discussed the Andreev bound states of the superfluid helium 3-B with a rough surface and in a magnetic field using the quasi-classical Green function together with a random S-matrix model and clarified the subgap structure. We calculated the self-consistent order parameter, the spin-polarization density and the surface density of states numerically. And we also discussed the surface roughness dependence and the magnetic field dependence of the transverse acoustic impedance using the quasi-classical Keldysh Green function.

Research Products

• [Journal Article] Subgap in the Surface Bound States Spectrum of Superfluid 3He-B with Rough Surface (2017)
  • Author(s): Nagato Y.、Higashitani S.、Nagai K.
  • Journal Title: Journal of Low Temperature Physics Volume: 190 Issue: 5-6 Pages: 277-301
  • DOI: 10.1007/s10909-017-1842-7
  • Peer Reviewed
• [Journal Article] Spin-Dependent Acoustic Response in the Nonunitary A1 and A2 Phases of Superfluid He3 under High Magnetic Fields (2015)
  • Author(s): S. Murakawa, A. Yamaguchi, M. Arai, M. Wasai, Y. Aoki, H. Ishimoto, R. Nomura, Y. Okuda, Y. Nagato, S. Higashitani, and K. Nagai
  • Journal Title: Physical Review Letters Volume: 114 Issue: 10 Pages: 105304-105304
  • DOI: 10.1103/physrevlett.114.105304
  • Peer Reviewed
• [Presentation] 境界面に平行な磁場下における超流動 ヘリウム3の横波音響インピーダンスII (2017)
  • Author(s): 長登康、東谷誠二、永井克彦
  • Organizer: 日本物理学会
  • Place of Presentation: 大阪大学
• [Presentation] 強磁場下における乱雑な境界面近傍の液体ヘリウム3超流動状態 (2016)
  • Author(s): 長登康、東谷誠二、永井克彦
  • Organizer: 日本物理学会
  • Place of Presentation: 東北学院大学
  • Year and Date: 2016-03-21
• [Presentation] 境界面に平行な磁場下における超流動 ヘリウム3の横波音響インピーダンス (2016)
  • Author(s): 長登康、東谷誠二、永井克彦
  • Organizer: 日本物理学会
  • Place of Presentation: 金沢大学
• [Presentation] 磁場下における乱雑な境界面近傍の液体ヘリウム3超流動状態 (2015)
  • Author(s): 長登康、東谷誠二、永井克彦
  • Organizer: 日本物理学会
  • Place of Presentation: 関西大学
  • Year and Date: 2015-09-18
• [Presentation] 境界に垂直な磁場下における超流動ヘリウム3の横波音響インピーダンス II (2015)
  • Author(s): 長登康、東谷誠二、永井克彦
  • Organizer: 日本物理学会
  • Place of Presentation: 早稲田大学
  • Year and Date: 2015-03-24
• [Presentation] 境界に垂直な磁場下における超流動ヘリウム3の横波音響インピーダンス (2014)
  • Author(s): 長登康、東谷誠二、永井克彦
  • Organizer: 日本物理学会
  • Place of Presentation: 中部大学
  • Year and Date: 2014-09-08