Journal of Low Temperature Physics

, Volume 184, Issue 5–6, pp 1054–1070 | Cite as

Strong-Coupling and the Stripe Phase of \(^3\)He

Article

Abstract

Thin films of superfluid \(^{3}\)He were predicted, based on weak-coupling BCS theory, to have a stable phase which spontaneously breaks translational symmetry in the plane of the film. This crystalline superfluid, or “stripe” phase, develops as a one-dimensional periodic array of domain walls separating degenerate B phase domains. We report calculations of the phases and phase diagram for superfluid \(^{3}\)He in thin films using a strong-coupling Ginzburg–Landau theory that accurately reproduces the bulk \(^{3}\)He superfluid phase diagram. We find that the stability of the Stripe phase is diminished relative to the A phase, but the Stripe phase is stable in a large range of temperatures, pressures, confinement, and surface conditions.

Keywords

Superfluid \(^3\)He Phase transitions Confined quantum liquids 

References

  1. 1.
    A.B. Vorontsov, J.A. Sauls, Phys. Rev. Lett. 98(4), 045301 (2007)ADSCrossRefGoogle Scholar
  2. 2.
    L.V. Levitin, R.G. Bennett, A. Casey, B. Cowan, J. Saunders, D. Drung, T. Schurig, J.M. Parpia, Science 340(6134), 841 (2013)ADSCrossRefGoogle Scholar
  3. 3.
    J.J. Wiman, J.A. Sauls, Phys. Rev. B 92(14), 144515 (2015)ADSCrossRefGoogle Scholar
  4. 4.
    K. Aoyama, Phys. Rev. B 89, 140502 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    V.V. Dmitriev, A.A. Senin, A.A. Soldatov, A.N. Yudin, Phys. Rev. Lett. 115, 165304 (2015)ADSCrossRefGoogle Scholar
  6. 6.
    S. Autti, V.V. Dmitriev, V.B. Eltsov, J. Makinen, G.E. Volovik, A.N. Yudin, V.V. Zavjalov, 1 (2015), arXiv:1508.02197
  7. 7.
    J.I.A. Li, A.M. Zimmerman, J. Pollanen, C.A. Collett, W.P. Halperin, Phys. Rev. Lett. 114, 105302 (2015)ADSCrossRefGoogle Scholar
  8. 8.
    D. Rainer, J.W. Serene, Phys. Rev. B 13, 4745 (1976)ADSCrossRefGoogle Scholar
  9. 9.
    H. Choi, J.P. Davis, J. Pollanen, T. Haard, W. Halperin, Phys. Rev. B 75(17), 174503 (2007)ADSCrossRefGoogle Scholar
  10. 10.
    E. Thuneberg, Phys. Rev. B 36, 3583 (1987)ADSCrossRefGoogle Scholar
  11. 11.
    J.A. Sauls, J.W. Serene, Phys. Rev. B 24, 183 (1981)ADSCrossRefGoogle Scholar
  12. 12.
    J.A. Sauls, Phys. Rev. B 84, 214509 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    V. Ambegaokar, P. de Gennes, D. Rainer, Phys. Rev. A 9, 2676 (1975)ADSCrossRefGoogle Scholar
  14. 14.
    A. Vorontsov, J.A. Sauls, Phys. Rev. B 68, 064508 (2003)ADSCrossRefGoogle Scholar
  15. 15.
    J.W. Serene, D. Rainer, Phys. Rep. 101, 221 (1983)ADSCrossRefGoogle Scholar
  16. 16.
    H.C. Choi, A.J. Gray, C.L. Vicente, J.S. Xia, G. Gervais, W.P. Halperin, N. Mulders, Y. Lee, Phys. Rev. Lett. 93(14), 145302 (2004)ADSCrossRefGoogle Scholar
  17. 17.
    I. Fomin, J. Low Temp. Phys. 31(3–4), 509 (1978)ADSCrossRefGoogle Scholar
  18. 18.
    Y.M. Bunkov, G.E. Volovik, Eur. Phys. Lett. 21(8), 837 (1993)ADSCrossRefGoogle Scholar
  19. 19.
    L.V. Levitin, R.G. Bennett, E.V. Surovtsev, J.M. Parpia, B. Cowan, A.J. Casey, J. Saunders, Phys. Rev. Lett. 111, 235304 (2013)ADSCrossRefGoogle Scholar
  20. 20.
    L. Levitin, Experimental Studies of the Superfluid Phases of Confined \(^3\)He. Ph.D. thesis, Egham, UK (2012)Google Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Physics & AstronomyNorthwestern UniversityEvanstonUSA

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