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Collective-mode spectroscopy of textures in superfluid3He-B

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Abstract

A phenomenological theory for the propagation of the real squashing modes in superfluid3He-B is presented. This allows one to calculate the splitting of the real squashing (rsq) mode spectrum caused by the combined effects of magnetic field, dispersion, and texture in the experimentally important range of magnetic fields from 0 to 103 Gauss. This serves to provide a tool for the rsq-mode spectroscopy of the\(\hat n\)-textures in3He-B. In particular, a new “gyrosonic effect” is suggested: the intensity of the rsq modes generated in textures depends on the sense of rotation—even when the axis of rotation\(\hat \Omega \) coincides with the direction of the ultrasound propagation\(\hat q\).

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References

  1. 1.

    C. M. Gould, T. J. Bartolac, and H. M. Bozler,J. Low Temp. Phys. 39, 291 (1980).

  2. 2.

    P. J. Hakonen, O. V. Lounasmaa, and J. T. Simola,Physica (1989, to appear).

  3. 3.

    M. M. Salomaa and G. E. Volovik,Rev. Mod. Phys. 59, 533 (1987).

  4. 4.

    P. Wölfle,Physica 90B, 96 (1977).

  5. 5.

    D. M. Bates, C. M. Gould, and H. M. Bozler, inQuantum Fluids and Solids, AIP Conference Proceedings No. 103, E. D. Adams and G. G. Ihas, eds. (American Institute of Physics, New York, 1983), p. 282.

  6. 6.

    W. P. Halperin,Physica 109 + 110B, 1596 (1982).

  7. 7.

    J. B. Ketterson, B. S. Shivaram, M. W. Meisel, B. K. Sarma, and W. P. Halperin, inQuantum Fluids and Solids, AIP Conference Proceedings No. 103, E. D. Adams and G. G. Ihas, eds. (American Institute of Physics, New York, 1983), p. 288.

  8. 8.

    B. S. Shivaram, M. W. Meisel, B. K. Sarma, D. B. Mast, W. P. Halperin, and J. B. Ketterson,Phys. Rev. Lett. 49, 1646 (1982).

  9. 9.

    G. E. Volovik,Pis'ma Zh. Eksp. Teor. Fiz. 39, 304 (1984) [JETP Lett. 39, 365 (1984)].

  10. 10.

    R. H. Salmelin, J. P. Pekola, A. J. Manninen, K. Torizuka, M. P. Berglund, J. M. Kyynäräinen, O. V. Lounasmaa, G. K. Tvalashvili, O. V. Magradze, E. Varoquaux, O. Avenel, and V. P. Mineev,Phys. Rev. Lett. 63, 620 (1989).

  11. 11.

    G. E. Volovik and M. V. Khazan,Zh. Eksp. Teor. Fiz. 87, 583 (1984) [Sov. Phys.-JETP 60, 276 (1984)].

  12. 12.

    V. P. Mineev,Zh. Eksp. Teor. Fiz. 88, 507 (1985) [Sov. Phys.-JETP 61, 297 (1985)].

  13. 13.

    R. S. Fishman and J. A. Sauls,Phys. Rev. Lett. 61, 2871 (1988).

  14. 14.

    Yu. A. Vdovin, inPrimenenie metodov kvantovoi teorii polya k zadacham mnogikh tel (Application of the Methods of Quantum Field Theory to Many-Body Problems), Proceedings of the Moscow Engineering Physics Institute (Gosatomizdat, Moscow, 1963), p. 65.

  15. 15.

    B. S. Shivaram, M. W. Meisel, B. K. Sarma, W. P. Halperin, and J. B. Ketterson,J. Low Temp. Phys. 63, 57 (1986).

  16. 16.

    M. Liu,Physica 109 + 110B, 1615 (1982).

  17. 17.

    V. E. Koch and P. Wölfle,Phys. Rev. Lett. 46, 486 (1981).

  18. 18.

    J. A. Sauls and J. W. Serene,Proceedings of the 17th International Conference on Low Temperature Physics, U. Eckern, A. Schmid, W. Weber, and H. Wühl, eds. (Elsevier, Amsterdam, 1984), p. 775

  19. 19.

    M. V. Berry,Proc. Roy. Soc. London A 392, 15 (1984).

  20. 20.

    N. Schopohl, M. Warnke, and L. Tewordt,Phys. Rev. Lett. 50, 1066 (1983).

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Salomaa, M.M., Volovik, G.E. Collective-mode spectroscopy of textures in superfluid3He-B. J Low Temp Phys 77, 17–33 (1989). https://doi.org/10.1007/BF00681877

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Keywords

  • Spectroscopy
  • Magnetic Field
  • Combine Effect
  • Magnetic Material
  • Phenomenological Theory