Abstract
The orientational phase transition in the vicinity of a single vortex in3He-B is studied. It is the phase transition from a uniformn-texture withn parallel to the magnetic field and the vortex line to ann-texture that is nonuniform near the vortex. The problem of the instability of the the uniformn-texture is equivalent to the quantum mechanical two-dimensional problem of a bound state in a field with an attractive potential 1/r 2. The orientational phase transition at a vortex array is also considered. In the limit of large vortex density the orientational phase transition transforms to the phase transition studied by Gongadze et al. The theoretical results are compared with the observed phase transition at a vortex in3He-B.
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O. T. Ikkala, G. E. Volovik, P. J. Hakonen, Yu. M. Bun'kov, S. T. Islander, and G. A. Kharadze,Pis'ma Zh. Eksp. Teor. Fiz. 35, 338 (1982) [Sov. Phys. JETP Lett. 35, 416 (1982)]; Yu. M. Bun'kov, P. J. Hakonen, and M. Krusius, inProceedings of the Sanibel Symposium on Quantum Fluids (1983).
G. E. Volovik and V. P. Mineev,Zh. Eksp. Teor. Fiz. 83, 1025 (1982).
P. J. Hakonen and G. E. Volovik,J. Phys. C 15, L1277 (1982).
M. M. Salomaa and G. E. Volovik, inProceedings of the Sanibel Symposium on Quantum Fluids (1983).
S. Theodorakis and A. L. Fetter,J. Low Temp. Phys. 52, 559 (1983).
A. D. Gongadze, G. E. Gurgenishvili, and G. A. Kharadze,Fiz. Nizk. Temp. 7, 821 (1981) [Sov. J. Low Temp. Phys. 7, 397 (1981)].
W. F. Brinkmam and M. C. Cross,Prog. Low Temp. Phys. VIIA, 105 (1978).
E. B. Sonin,Pis'ma Zh. Eksp. Teor. Fiz. 38, 11 (1983).
L. D. Landau and E. M. Lifshitz,Quantum Mechanics (Nauka, Moscow, 1974), Section 35.
G. F. Spencer and G. G. Ihas,Phys. Rev. Lett. 48, 1118 (1982).
Yu. Bunkov, M. Krusius, and P. J. Hakonen,Pis'ma Zh. Eksp. Teor. Fiz. 37, 395 (1983).
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Sonin, E.B. The orientational phase transition at a vortex in3He-B. J Low Temp Phys 55, 533–550 (1984). https://doi.org/10.1007/BF00681780
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DOI: https://doi.org/10.1007/BF00681780