2001 Fiscal Year Final Research Report Summary
Theory of Surface Effects and A・B Transition in Superfluid ^3He
| Project/Area Number |
10203209
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| Research Category |
Grant-in-Aid for Scientific Research on Priority Areas (B)
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| Allocation Type | Single-year Grants |
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| Research Institution | Hiroshima University |
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Principal Investigator |
NAGAI Katsuhiko Hiroshima University, Faculty of Integrated Arts and Sciences, Professor, 総合科学部, 教授 (90034743)
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| 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)
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| Project Period (FY) |
1998 – 2000
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| Keywords | Superfluid He-3 / Anisotropic BCS State / Surface Effect / Quasi-classical Green's function / Superfluid Density / Size Effect |
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| 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.
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