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

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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.

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Notes

  1. W. P. Halperin, private communication.

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Acknowledgments

The research of JJW and JAS was supported by the National Science Foundation (Grants DMR-1106315 and DMR-1508730).

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Correspondence to Joshua J. Wiman.

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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

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  • DOI: https://doi.org/10.1007/s10909-016-1632-7

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