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.
Similar content being viewed by others
Notes
W. P. Halperin, private communication.
References
A.B. Vorontsov, J.A. Sauls, Phys. Rev. Lett. 98(4), 045301 (2007)
L.V. Levitin, R.G. Bennett, A. Casey, B. Cowan, J. Saunders, D. Drung, T. Schurig, J.M. Parpia, Science 340(6134), 841 (2013)
J.J. Wiman, J.A. Sauls, Phys. Rev. B 92(14), 144515 (2015)
K. Aoyama, Phys. Rev. B 89, 140502 (2014)
V.V. Dmitriev, A.A. Senin, A.A. Soldatov, A.N. Yudin, Phys. Rev. Lett. 115, 165304 (2015)
S. Autti, V.V. Dmitriev, V.B. Eltsov, J. Makinen, G.E. Volovik, A.N. Yudin, V.V. Zavjalov, 1 (2015), arXiv:1508.02197
J.I.A. Li, A.M. Zimmerman, J. Pollanen, C.A. Collett, W.P. Halperin, Phys. Rev. Lett. 114, 105302 (2015)
D. Rainer, J.W. Serene, Phys. Rev. B 13, 4745 (1976)
H. Choi, J.P. Davis, J. Pollanen, T. Haard, W. Halperin, Phys. Rev. B 75(17), 174503 (2007)
E. Thuneberg, Phys. Rev. B 36, 3583 (1987)
J.A. Sauls, J.W. Serene, Phys. Rev. B 24, 183 (1981)
J.A. Sauls, Phys. Rev. B 84, 214509 (2011)
V. Ambegaokar, P. de Gennes, D. Rainer, Phys. Rev. A 9, 2676 (1975)
A. Vorontsov, J.A. Sauls, Phys. Rev. B 68, 064508 (2003)
J.W. Serene, D. Rainer, Phys. Rep. 101, 221 (1983)
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)
I. Fomin, J. Low Temp. Phys. 31(3–4), 509 (1978)
Y.M. Bunkov, G.E. Volovik, Eur. Phys. Lett. 21(8), 837 (1993)
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)
L. Levitin, Experimental Studies of the Superfluid Phases of Confined \(^3\)He. Ph.D. thesis, Egham, UK (2012)
Acknowledgments
The research of JJW and JAS was supported by the National Science Foundation (Grants DMR-1106315 and DMR-1508730).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wiman, J.J., Sauls, J.A. Strong-Coupling and the Stripe Phase of \(^3\)He. J Low Temp Phys 184, 1054–1070 (2016). https://doi.org/10.1007/s10909-016-1632-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-016-1632-7