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2001 Fiscal Year Final Research Report Summary

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
KeywordsSuperfluid He-3 / Anisotropic BCS State / Surface Effect / Quasi-classical Green's function / Superfluid Density / Size Effect
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.

  • Research Products

    (16 results)

All Other

All Publications (16 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 2003-09-17  

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