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Temperature Dependence of the Order Parameter of the Polar Phase of Liquid 3He in a Nematic Aerogel

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Abstract

It is proved that in the polar phase of superfluid 3He stabilized by a nematic aerogel the temperature dependence of the gap in the spectrum of Fermi excitations must be the same as that in the bulk polar phase without foreign impurities when the liquid quasiparticles are specularly reflected from the aerogel strands. The analogy with the Anderson theorem for conventional superconductors is discussed.

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REFERENCES

  1. V. V. Dmitriev, A. A. Senin, A. A. Soldatov, and A. N. Yudin, Phys. Rev. Lett. 115, 165304 (2015).

    Article  ADS  Google Scholar 

  2. V. V. Dmitriev, A. A. Soldatov, and A. N. Yudin, Phys. Rev. Lett. 120, 075301 (2018).

    Article  ADS  Google Scholar 

  3. D. Vollhardt and P. Woelfle, The Superfluid Phases of Helium 3 (Taylor and Francis, London, 1990).

    Book  Google Scholar 

  4. V. E. Asadchikov, R. Sh. Askhadullin, V. V. Volkov, V. V. Dmitriev, N. K. Kitaeva, P. N. Martynov, A. A. Osipov, A. A. Senin, A. A. Soldatov, D. I. Chekrygina, and A. N. Yudin, JETP Lett. 101, 556 (2015).

    Article  ADS  Google Scholar 

  5. N. Zhelev, M. Reichl, T. S. Abhilash, E. N. Smith, K. X. Nguen, E. J. Mueller, and J. M. Parpia, Nat. Commun. 7, 12975 (2016).

    Article  ADS  Google Scholar 

  6. V. B. Eltsov, T. Kamppinen, J. Rysti, and G. E. Volovik, arXiv: 1908.01645v1 (2019).

  7. R. Sh. Askhadullin, V. V. Dmitriev, D. A. Krasnikhin, P. N. Martynov, A. A. Osipov, A. A. Senin, and A. N. Yudin, JETP Lett. 95, 326 (2012).

    Article  ADS  Google Scholar 

  8. K. Aoyama and R. Ikeda, Phys. Rev. B 73, 060504 (2006).

    Article  ADS  Google Scholar 

  9. D. Kim, M. Nakamura, O. Ishikawa, T. Hata, T. Kodama, and H. Kojima, Phys. Rev. Lett. 71, 1501 (1993).

    ADS  Google Scholar 

  10. A. A. Abrikosov and L. P. Gor’kov, Sov. Phys. JETP 8, 1090 (1958).

    Google Scholar 

  11. A. A. Abrikosov and L. P. Gor’kov, Sov. Phys. JETP 9, 220 (1959).

    Google Scholar 

  12. E. V. Thuneberg, S.-K. Yip, M. Fogelstroem, and J. A. Sauls, Phys. Rev. Lett. 80, 2861 (1998).

    Article  ADS  Google Scholar 

  13. I. A. Fomin, J. Exp. Theor. Phys. 127, 933 (2018).

    Article  ADS  Google Scholar 

  14. P. W. Anderson, J. Phys. Chem. Solids 11, 26 (1959).

    Article  ADS  Google Scholar 

  15. A. I. Larkin, JETP Lett. 2, 130 (1965).

    ADS  Google Scholar 

  16. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Nauka, Moscow, 1962; Prentice-Hall, Englewood Cliffs, NJ, 1963).

  17. M. H. Fischer, New J. Phys. 15, 073006 (2013).

    Article  ADS  Google Scholar 

  18. A. Ramires and M. Sigrist, Phys. Rev. B 94, 104501 (2016).

    Article  ADS  Google Scholar 

  19. A. Ramires, D. F. Agterberg, and M. Sigrist, Phys. Rev. B 98, 024501 (2018).

    Article  ADS  Google Scholar 

  20. V. P. Mineev, Phys. Rev. B 98, 014501 (2018).

    Article  ADS  Google Scholar 

  21. A. M. Zimmerman, M. D. Nguen, J. W. Scott, and W. P. Halperin, Phys. Rev. Lett. 124, 025302 (2019).

    Article  ADS  Google Scholar 

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ACKNOWLEDGMENTS

I am grateful to G.E. Volovik who drew my attention to the papers [17–19] and to V.V. Dmitriev for his useful remarks.

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Correspondence to I. A. Fomin.

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This article was prepared for the special issue dedicated to the centenary of A.S. Borovik-Romanov.

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Translated by V. Astakhov

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Fomin, I.A. Temperature Dependence of the Order Parameter of the Polar Phase of Liquid 3He in a Nematic Aerogel. J. Exp. Theor. Phys. 131, 29–33 (2020). https://doi.org/10.1134/S1063776120070055

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  • DOI: https://doi.org/10.1134/S1063776120070055

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