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Journal of Low Temperature Physics

, Volume 190, Issue 5–6, pp 256–266 | Cite as

2D Dilute Bose Mixture at Low Temperatures

  • Pavlo Konietin
  • Volodymyr Pastukhov
Article

Abstract

The thermodynamic and superfluid properties of the dilute two-dimensional binary Bose mixture at low temperatures are discussed. We also considered the problem of the emergence of the long-range order in these systems. All calculations are performed by means of the celebrated Popov path-integral approach to the Bose gas with a short-range interparticle potential.

Keywords

Two-dimensional Bose mixtures Superfluid properties Off-diagonal long-range order 

Notes

Acknowledgements

We thank Dr. A. Rovenchak for invaluable suggestions. This work was partly supported by Project FF-30F (No. 0116U001539) from the Ministry of Education and Science of Ukraine.

References

  1. 1.
    A. Posazhennikova, Phys. Rev. Mod. 78, 1111 (2006)ADSCrossRefGoogle Scholar
  2. 2.
    Z. Hadzibabic, J. Dalibard, Riv. Nuovo Cim. 34, 389 (2011)Google Scholar
  3. 3.
    M. Schick, Phys. Rev. A 3, 1067 (1971)ADSCrossRefGoogle Scholar
  4. 4.
    Y.U.E. Lozovik, V.I. Yudson, Phys. A 93, 493 (1978)CrossRefGoogle Scholar
  5. 5.
    A.A. Ovchinnikov, J. Phys. Condens. Matter 5, 8665 (1993)ADSCrossRefGoogle Scholar
  6. 6.
    A.Y. Cherny, A.A. Shanenko, Phys. Rev. E 64, 027105 (2001)ADSCrossRefGoogle Scholar
  7. 7.
    S. Pilati, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. A 71, 023605 (2005)ADSCrossRefGoogle Scholar
  8. 8.
    F. Mazzanti, A. Polls, A. Fabrocini, Phys. Rev. A 71, 033615 (2005)ADSCrossRefGoogle Scholar
  9. 9.
    V.N. Popov, Theor. Math. Phys. 11, 565 (1972)CrossRefGoogle Scholar
  10. 10.
    C. Mora, Y. Castin, Phys. Rev. A 67, 053615 (2003)ADSCrossRefGoogle Scholar
  11. 11.
    V.N. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, Cambridge, 1987)MATHGoogle Scholar
  12. 12.
    D.S. Fisher, P.C. Hohenberg, Phys. Rev. B 37, 4936 (1988)ADSCrossRefGoogle Scholar
  13. 13.
    E.B. Kolomeisky, J.P. Straley, Phys. Rev. B 46, 11749 (1992)ADSCrossRefGoogle Scholar
  14. 14.
    N. Dupuis, Phys. Rev. Lett. 102, 190401 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    N. Dupuis, Phys. Rev. A 80, 043627 (2009)ADSCrossRefGoogle Scholar
  16. 16.
    A. Rancon, N. Dupuis, Phys. Rev. A 85, 063607 (2012)ADSCrossRefGoogle Scholar
  17. 17.
    J. Krieg, D. Strassel, S. Streib, S. Eggert, P. Kopietz, Phys. Rev. B 95, 024414 (2017)ADSCrossRefGoogle Scholar
  18. 18.
    J.O. Andersen, Eur. Phys. J. B 28, 389 (2002)ADSCrossRefGoogle Scholar
  19. 19.
    C.C. Chien, J.H. She, F. Cooper, Ann. Phys. 347, 192 (2014)ADSCrossRefGoogle Scholar
  20. 20.
    V.N. Popov, A.V. Seredniakov, Sov. Phys. JETP 50, 193 (1979)ADSGoogle Scholar
  21. 21.
    J.O. Andersen, U.Al Khawaja, H.T.C. Stoof, Phys. Rev. Lett. 88, 070407 (2002)ADSCrossRefGoogle Scholar
  22. 22.
    U. Al Khawaja, J.O. Andersen, N.P. Proukakis, H.T.C. Stoof, Phys. Rev. A 66, 013615 (2002)ADSCrossRefGoogle Scholar
  23. 23.
    S.P. Cockburn, N.P. Proukakis, Phys. Rev. A 86, 033610 (2012)ADSCrossRefGoogle Scholar
  24. 24.
    M.Y. Kagan, D.V. Efremov, Phys. Rev. B 65, 195103 (2002)ADSCrossRefGoogle Scholar
  25. 25.
    E. Altman, W. Hofstetter, E. Demler, M.D. Lukin, New J. Phys. 5, 113 (2003)ADSCrossRefGoogle Scholar
  26. 26.
    A. Kuklov, N. Prokofev, B. Svistunov, Phys. Rev. Lett. 92, 050402 (2004)ADSCrossRefGoogle Scholar
  27. 27.
    A. Kuklov, N. Prokofev, B. Svistunov, Phys. Rev. Lett. 92, 030403 (2004)ADSCrossRefGoogle Scholar
  28. 28.
    K.P. Schmidt, J. Dorier, A. Lauchli, F. Mila, Phys. Rev. B 74, 174508 (2006)ADSCrossRefGoogle Scholar
  29. 29.
    M. Guglielmino, V. Penna, B. Capogrosso-Sansone, Phys. Rev. A 82, 021601(R) (2010)ADSCrossRefGoogle Scholar
  30. 30.
    L. de Forges de Parny, V.G. Rousseau, Phys. Rev. A 95, 013606 (2017)ADSCrossRefGoogle Scholar
  31. 31.
    A.K. Kolezhuk, Phys. Rev. A 81, 013601 (2010)ADSCrossRefGoogle Scholar
  32. 32.
    Y.-L. Lee, Y.-W. Lee, J. Phys. Soc. Jpn. 80, 044003 (2011)ADSCrossRefGoogle Scholar
  33. 33.
    D.S. Petrov, G.E. Astrakharchik, Phys. Rev. Lett. 117, 100401 (2016)ADSCrossRefGoogle Scholar
  34. 34.
    V. Pastukhov, Ann. Phys. 372, 149 (2016)ADSMathSciNetCrossRefGoogle Scholar
  35. 35.
    I.O. Vakarchuk, V.S. Pastukhov, J. Phys. Stud. 12, 1001 (2008)Google Scholar
  36. 36.
    I.O. Vakarchuk, V.S. Pastukhov, J. Phys. Stud. 12, 3002 (2008)Google Scholar
  37. 37.
    A. Rovenchak, Low Temp. Phys. 42, 36 (2016)ADSCrossRefGoogle Scholar
  38. 38.
    C.-C. Chang, R. Friedberg, Phys. Rev. B 51, 1117 (1995)ADSCrossRefGoogle Scholar
  39. 39.
    V. Pastukhov, J. Low Temp. Phys. 186, 148 (2017)ADSCrossRefGoogle Scholar
  40. 40.
    L. Salasnich, F. Toigo, Phys. Rep. 640, 1 (2016)ADSMathSciNetCrossRefGoogle Scholar
  41. 41.
    V. Pastukhov, Phys. Rev. A 95, 023614 (2017)ADSCrossRefGoogle Scholar
  42. 42.
    A.F. Andreev, E.P. Bashkin, Zh Eksp, Teor. Fiz. 69, 319 (1975)Google Scholar
  43. 43.
    A.F. Andreev, E.P. Bashkin, Zh Eksp, Sov. Phys. JETP 42, 164 (1975)ADSGoogle Scholar
  44. 44.
    A.G. Volosniev, H.-W. Hammer, N.T. Zinner, Phys. Rev. A 92, 023623 (2015)ADSCrossRefGoogle Scholar
  45. 45.
    F. Werner, Y. Castin, Phys. Rev. A 86, 053633 (2012)ADSCrossRefGoogle Scholar
  46. 46.
    P. Kroiss, M. Boninsegni, L. Pollet, Phys. Rev. B 93, 174520 (2016)ADSCrossRefGoogle Scholar
  47. 47.
    C. Mora, Y. Castin, Phys. Rev. Lett. 102, 180404 (2009)ADSCrossRefGoogle Scholar
  48. 48.
    G.E. Astrakharchik, J. Boronat, I.L. Kurbakov, Y.U.E. Lozovik, F. Mazzanti, Phys. Rev. A 81, 013612 (2010)ADSCrossRefGoogle Scholar
  49. 49.
    L. Salasnich, Phys. Rev. Lett. 118, 130402 (2017)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department for Theoretical PhysicsIvan Franko National University of LvivLviv-5Ukraine

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