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Theory of Surface Effects and A・B Transition in Superfluid ^3He

Research Project

Project/Area Number 10203209
Research Category

Grant-in-Aid for Scientific Research on Priority Areas (B)

Allocation TypeSingle-year Grants
Research InstitutionHiroshima University

Principal Investigator

NAGAI Katsuhiko  Hiroshima University, Faculty of Integrated Arts and Sciences, Professor, 総合科学部, 教授 (90034743)

Co-Investigator(Kenkyū-buntansha) NAGATO Yasushi  Hiroshima University, Faculty of Integrated Arts and Sciences, Research Assistant, 総合科学部, 助手 (60294477)
HIGASHITANI Seiji  Hiroshima University, Faculty of Integrated Arts and Sciences, Research Assistant, 総合科学部, 助手 (70304368)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥5,400,000 (Direct Cost: ¥5,400,000)
Fiscal Year 2000: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1999: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1998: ¥3,500,000 (Direct Cost: ¥3,500,000)
KeywordsSuperfluid He-3 / Anisotropic BCS State / Surface Effect / Quasi-classical Green's function / Superfluid Density / Size Effect / 超流動^3He / 準古典的グリーン関数法 / 薄膜 / 表面散乱 / ABM状態 / BW状態 / 第3音波 / p-wave pairing / 相転移 / 異方的超伝導
Research Abstract

Superfluid He-3 is in a typical anisotropic BCS state which is known to be affected very much by the surface effect. To study this problem, we developed a quasi-classical Green's function method that can treat surface scattering, from specular scattering to diffusive scattering, in a unified way. We applied the method to superfluid He-3 film and discussed the A-B transition, the superfluid density, spin dynamics.
We found how the A-B phase transition temperature depends on the film width as well as on the surface roughness. Our result is consistent with previous theory based on the Ginzburg-Landau approximation. The B phase is more stable when the surface is more rough. This does not agree with an experimental result by Osaka City University Group.
We calculated the superfiuid density in film. We find a good agreement with the third sound experiment when the film is thin. We find superfluid mass flow changes across the film that reflects the surface effects on the p-wave order parameter.
We calculated the NMR frequency shift in the B-phase and showed that finite positive shift should be found in the cw transverse NMR experiment.
In summary we found that superfluid He-3 shows considerably different properties than the bulk system, reflecting the surface effects.

Report

(4 results)
  • 2001 Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] J.Hara, M.Ashida, S.Higashitani, K.Nagai: "Effect of Finite Reflection at the interface on diamagnetic response of normal-superconducting double-layers"J.Phys.Soc.Jpn.. 69. 3493-3496 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Higashitani, K.Nagai: "Electromagnetic properties of R_xtiR_y superconductor"Phys.Rev.B. 62. 3042-3045 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Higashitani, K.Nagai: "Order Parameter Collective Modes in Sr_2R_uO_4"Physica B. 284-288. 539-540 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Yamamoto, S.Higashitani, Y.Nagato, K.Nagai: "Superfluid Density in ^3He Film"Physica B. 284-288. 271-272 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Nagato, K.Nagai: "A-B transition of superfluid ^3He in a slab"Physica B. 284-288. 269-270 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. Matsuo, S. Higashitani, Y. Nagato and K. Nagai: "Phase Diagram of Fulde・Ferrell・Larkin・Ovchinnikov State in a Three・dimensional Superconductor."J. Phys. Soc. Jpn. 67. 280-289 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Nagato, M. Yamamoto and K. Nagai: "Rough Surface Effects on p・・wave Fermi Superfluids"J. Low Temp. Phys. 110 No.5/6. 1135-1171 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. Higashitani: "Impurity Effect on Superfluidity of ^3He in Aerogel"J. Low Temp. Phys. 114 No.1/2. 161-172 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J. Hara, M. Ashida and K. Nagai: "Superconducting Transition Temperature of Superconducting・Normal Multi・Layer"J. Phys. Soc. Jpn. 68. 212-223 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Nagato and K. Nagai: "A・B transition of superfluid ^3He in a slab with rough surfaces"Physica B. 284・288. 269-270 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Yamamoto, S. Higashitani, Y. Nagato and K. Nagai: "Superfluid Density in ^3He film"Physica B. 284・288. 271-272 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. Higashitani and K. Nagai: "Order parameter collective modes in Sr_2RuO_4"Physica B. 284・288. 539-540 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. Higashitani and K. Nagai: "Electromagnetic Properties of k_3+iky Superconductor Effect of Order Parameter Collective Mode"Phys. Rev. B. 62. 3042-3045 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J. Hara, M. Ashida, S. Higashitani and K. Nagai: "Effect of finite reflection at the interface on diamagnetic response of normal・superconducting proximity contact double layers"J. Phys. Soc. Jpn. 69. 3493-3496 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Nagato and K. Nagai: "Propperties of Superfluid ^3He・B Film"to be submitted to J. Low Temp. Phys..

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Yamamoto, S. Higashitani and K. Nagai: "Effect of Surface Roughness on Superfluid Density of ^3He"to be submitted to J. Low Temp. Phys..

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J.Hara,M.Ashida,S.Higashitani,K.Nagai: "Effect of finite reflection at the interface on diamagnetic response of Normal-superconducting proximity contact double layers"J.Phys.Soc.Jpn. 69. 3493-3496 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Higashitani,K.Nagai: "Electromagnetic Properties of K_x+ik_y Superconductor"Phys.Rev.B. 62. 3042-3045 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Higashitani,K.Nagai: "Orderparameter Collective Modes in Sr_2RuO_4"Phgysica B. 284-288. 539-540 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Yamamoto,S.Higashitani Y.Nagato,K.Nagai: "Superfluid Density in ^3He Film"Physica B. 284-288. 271-272 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Nagato,K.Nagai: "A-B Transition of Superfluid ^3He in a Slab with Rough Surfaces"Physica B. 284-288. 269-270 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Nagato, K.Nagai: "A-B Transion of Superfluid ^3He in a Slab"Physica B(Proceedings of LT22). (in print). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Yamamoto, K.Nagai: "Superfluid Density of ^3He Film"Physica B(Proceedings of LT22). (in print). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] J,Hara: "Superconducting Transition Temperature of S-N Multi-layer" J,Phys.Soc.Jpn. 68・1. 212-223 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] S,Higashitani: "Impurity Scattering Effect on Superfluidity of ^3He in Aerogel" J,Low Temp.Phys.114・1/2. 161-172 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 宇田川 真行: "物理学基礎実験" 共立出版, 250 (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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