Skip to main content
Log in

Study of Superfluid \(^3\)He Under Nanoscale Confinement

A New Approach to the Investigation of Superfluid \(^3\)He Films

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We review recent experiments in which superfluid \(^3\)He has been studied under highly controlled confinement in nanofluidic sample chambers. We discuss the experimental challenges and their resolution. These methods open the way to a systematic investigation of the superfluidity of \(^3\)He films, and the surface and edge excitations of topological superfluids.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. G. E. Volovik, The Universe in a Helium Droplet (OUP 2003).

  2. M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)

    Article  ADS  Google Scholar 

  3. X.-L. Qi, S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)

    Article  ADS  Google Scholar 

  4. A.J. Leggett, Rev. Mod. Phys. 47, 331 (1975)

    Article  ADS  Google Scholar 

  5. D. Vollhardt, P. Wölfle, The Superfluid Phases of \(^3\) He (Taylor and Francis, London, 1990)

  6. L.V. Levitin, R.G. Bennett, A. Casey, B. Cowan, J. Saunders, D. Drung, Th Schurig, J.M. Parpia, Science 340, 841 (2013)

    Article  ADS  Google Scholar 

  7. J.G. Daunt, K. Mendelssohn, Proc. Roy. Soc. A 170, 423 (1939)

    Article  MATH  ADS  Google Scholar 

  8. D.J. Bishop, J.D. Reppy, Phys. Rev. Lett. 40, 1727 (1978)

    Article  ADS  Google Scholar 

  9. L.H. Kjäldman, J. Kurkijärvi, D. Rainer, J. Low Temp. Phys. 33, 577 (1978)

    Article  ADS  Google Scholar 

  10. S. Steel, J.P. Harrison, P. Zawadski, A. Sachrajda, J. Low Temp. Phys. 95, 759 (1994)

    Article  ADS  Google Scholar 

  11. J. Xu, B.C. Crooker, Phys. Rev. Lett. 65, 3005 (1990)

    Article  ADS  Google Scholar 

  12. A.M.R. Schechter, R.W. Simmonds, R.E. Packard, J.C. Davis, Nature 396, 554 (1998)

    Article  ADS  Google Scholar 

  13. J.C. Davis, A. Amar, J.P. Pekola, R.E. Packard, Phys. Rev. Lett. 60, 302 (1988)

    Article  ADS  Google Scholar 

  14. M. Saitoh, H. Ikegami, H. Mukuda, K. Kono, Physica B 329, 131 (2003)

    Article  ADS  Google Scholar 

  15. M.R. Freeman, R.S. Germain, E.V. Thuneberg, R.C. Richardson, Phys. Rev. Lett. 60, 596 (1988)

    Article  ADS  Google Scholar 

  16. M.R. Richardson, R.C. Richardson, Phys. Rev. 41, 11011 (1990)

    Article  Google Scholar 

  17. K. Kawasaki, T. Yoshida, M. Tarui, H. Nakagawa, H. Yano, O. Ishikawa, T. Hata, Phys. Rev. Lett. 93, 105301 (2004)

    Article  ADS  Google Scholar 

  18. S. Miyawaki, K. Kawasaki, H. Inaba, A. Matsubara, O. Ishikawa, T. Hata, T. Kodama, Phys. Rev. 62, 5855 (2000)

    Article  ADS  Google Scholar 

  19. D.J. Thouless, M. Kohmoto, M.P. Nightingale, M. den Nijs, Phys. Rev. Lett. 49, 405 (1982)

    Article  ADS  Google Scholar 

  20. C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005)

    Article  ADS  Google Scholar 

  21. B.A. Bernevig, T.L. Hughes, S.C. Zhang, Science 314, 1757 (2006)

    Article  ADS  Google Scholar 

  22. M. Konig et al., Science 318, 766 (2007)

    Article  ADS  Google Scholar 

  23. L. Fu, C.L. Kane, E.J. Mele, Phys. Rev. Lett. 98, 106803 (2007)

    Google Scholar 

  24. J.E. Moore, L. Balents, Phys. Rev. B 75, 121306 (2007)

    Article  ADS  Google Scholar 

  25. D. Hsieh et al., Nature 452, 970 (2008)

    Article  ADS  Google Scholar 

  26. Y. Xia et al., Nat. Phys. 5, 398 (2009)

    Article  Google Scholar 

  27. M.M. Salomaa, G.E. Volovik, Phys. Rev. B 37, 9298 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  28. A.P. Schnyder, S. Ryu, A. Furusaki, A.W. Ludwig, Phys Rev. B 78, 195125 (2008)

    Article  ADS  Google Scholar 

  29. R. Roy, arxiV.0803.2868.

  30. X.-L. Qi, T.L. Hughes, S. Raghu, S.-C. Zhang, Phys. Rev. Lett. 102, 187001 (2009)

    Google Scholar 

  31. S.B. Chung, S.-C. Zhang, Phys. Rev. Lett. 103, 235301 (2009)

    Article  ADS  Google Scholar 

  32. X.-L. Qi, T.L. Hughes, S. Raghu, S.-C. Zhang, Phys. Rev. B 81, 134508 (2010)

    Google Scholar 

  33. J.W. Serene, D. Rainer, Phys. Rep. 101, 221 (1983)

    Article  ADS  Google Scholar 

  34. Y. Nagato, M. Yamamoto, K. Nagai, J. Low Temp. Phys. 110, 1135 (1998)

    Article  ADS  Google Scholar 

  35. Y. Nagato, K. Nagai, Physica B 284–288, 269 (2000)

    Article  Google Scholar 

  36. A. B. Vorontsov and J. A. Sauls, Phys. Rev. B 68, 064508 (2003) and private communication.

  37. Y. Tsutsumi, M. Ichioka, K. Machida, Phys. Rev. B 83, 094510 (2011)

    Article  ADS  Google Scholar 

  38. H. Wu, J.A. Sauls, Phys. Rev. B 88, 184506 (2013)

    Article  ADS  Google Scholar 

  39. J. A. Sauls, Phys. Rev. B 84, 214509 (2011) and refs. therein.

  40. H. Ikegami, T. Matsumoto, K. Kono, J. Low Temp. Phys. 171, 159 (2013)

    Article  ADS  Google Scholar 

  41. H. Ikegami, Y. Tsutsum, K. Kono, Science 341, 59 (2013)

    Article  ADS  Google Scholar 

  42. R. Batulin, P. Moroshkin, D. Tayurskii, P. Blumhardt, P. Leiderer, K. Kono, J. Low Temp. Phys. 175, 63 (2014)

    Google Scholar 

  43. P.J. Heikkinen, S. Autti, V.B. Eltsov, J.J. Hosio, M. Krusius, V.V. Zavjalov, J. Low Temp. Phys. 175, 3 (2014)

    Google Scholar 

  44. H. Choi, J.P. Davis, J. Pollanen, W.P. Halperin, Phys. Rev. Lett. 96, 125301 (2006)

    Article  ADS  Google Scholar 

  45. S. Murukawa et al., Phys. Rev. Lett. 103, 155301 (2009)

    Article  ADS  Google Scholar 

  46. S. Dimov, R.G. Bennett, A. Córcoles, L.V. Levitin, B. Ilic, S.S. Verbridge, J. Saunders, A. Casey, J.M. Parpia, Rev. Sci. Inst. 81, 013907 (2010)

    Article  ADS  Google Scholar 

  47. L.V. Levitin, R.G. Bennett, A. Casey, B.P. Cowan, C.P. Lusher, J. Saunders, D. Drung, Th Schurig, App. Phys. Lett. 91, 262507 (2007)

    Article  ADS  Google Scholar 

  48. V. Dotsenko, N. Mulders, J. Low Temp. Phys. 134, 443 (2004)

    Article  ADS  Google Scholar 

  49. 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)

    Article  ADS  Google Scholar 

  50. G.E. Volovik, JETP Lett. 91, 201 (2010)

    Article  ADS  Google Scholar 

  51. T. Mizushima, M. Sato, K. Machida, Phys. Rev. Lett. 109, 165301 (2012)

    Article  ADS  Google Scholar 

  52. D.I. Bradley, S.N. Fisher, A.M. Guénault, R.P. Haley, J. Kopu, H. Martin, G.R. Pickett, J.E. Roberts, V. Tsepelin, Nat. Phys. 4, 46 (2008)

    Article  Google Scholar 

  53. A.B. Vorontsov, J.A. Sauls, Phys. Rev. Lett. 98, 045301 (2007)

    Article  ADS  Google Scholar 

  54. V. Ambegaokar, P.G. de Gennes, D. Rainer, Phys. Rev. A 9, 26762685 (1974)

    Google Scholar 

  55. P. Sharma, A. Córcoles, R.G. Bennett, J.M. Parpia, B. Cowan, A. Casey, J. Saunders, Phys. Rev. Lett. 107, 196805 (2011)

    Article  ADS  Google Scholar 

  56. Exotic Properties of Superfluid \(^3\) He (World Scientific, Singapore, 1992)

  57. J.J. Wiman, J.A. Sauls, J. Low Temp. Phys. 175, 17 (2014)

    Google Scholar 

  58. M.M. Salomaa, G.E. Volovik, Phys. Rev. Lett. 55, 1184 (1985)

    Google Scholar 

  59. C. Nayak, S.H. Simon, A. Stern, M. Freedman, S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008)

Download references

Acknowledgments

We thank S. Dimov, S. S. Verbridge for assistance with cell construction at Cornell; S. T. Boogert and A. Bosco for advice and loan of equipment for the optical thickness measurement. We thank G. Volovik, A. Vorontsov, J. Sauls and E. V. Surovtsev for theoretical input. This work was supported by: EPSRC grants EP/C522877/1, EP/E0541129/1, EP/J022004/1; NSF grants DMR-0806629, DMR-120991; European Microkelvin Consortium (FP7 grant agreement no. 228464).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Casey.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levitin, L.V., Bennett, R.G., Casey, A. et al. Study of Superfluid \(^3\)He Under Nanoscale Confinement. J Low Temp Phys 175, 667–680 (2014). https://doi.org/10.1007/s10909-014-1145-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-014-1145-1

Keywords

Navigation