Skip to main content
SpringerLink
Log in

Spin-spin correlation effect on the thermodynamic properties of the polarized liquid 3He at finite temperature

  • Solid State and Materials
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We have used the lowest order constrained variational (LOCV) method to calculate some thermodynamic properties of the polarized liquid 3He at finite temperature with the spin-dependent correlation function. For each value of the temperature and density we have shown that the main contribution to the potential energy comes from the spin-triplet state. For the polarized liquid 3He, we have seen that the differences between the thermodynamic properties of the spin-dependent and the spin-independent cases decrease by increasing both polarization and temperature. For all relevant temperatures and densities, our results do not show any ferromagnetic phase transition.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E.R. Dobbs, Helium Three (Oxford University Press, 2000); A. Kenet, Exprimental Low-Temperature Physics (Macmillan Physical Science Series, 1993) J. Wilks, The Properties of Liquid and Solid Helium (Clarendon, Oxford, 1967)

  2. R.M. Panoff, J. Carlson, Phys. Rev. Lett. 62, 1130 (1989)

    Article  ADS  Google Scholar 

  3. J. Casulleras, J. Boronat, Phys. Rev. Lett. 84, 3121 (2000)

    Article  ADS  Google Scholar 

  4. S. Moroni, G. Senatore, S. Fantoni, Phys. Rev. B 55, 1040 (1997)

    Article  ADS  Google Scholar 

  5. S. Moroni, S. Fantoni, G. Senatore, Phys. Rev. B 52, 13547 (1995)

    Article  ADS  Google Scholar 

  6. S.A. Vitiello, K.E. Schmidt, S. Fantoni, Phys. Rev. B 55, 5647 (1997)

    Article  ADS  Google Scholar 

  7. E. Krotscheck, R.A. Smith, Phys. Rev. B 27, 4222 (1983)

    Article  ADS  Google Scholar 

  8. S. Fantoni, V.R. Pandharipande, K.E. Schmidt, Phys. Rev. Lett. 48, 878 (1982)

    Article  ADS  Google Scholar 

  9. E. Krotscheck, J. Low Temp. Phys. 119, 103 (2000)

    Article  Google Scholar 

  10. F. Arias de Saaverda, E. Buendi’a, Phys. Rev. B 46, 13934 (1992)

    Article  ADS  Google Scholar 

  11. M. Takano, M. Yamada, Prog. Theor. Phys. 91, 1149 (1994)

    Article  ADS  Google Scholar 

  12. M. Viviani, E. Buendia, S. Fantoni, S. Rosati, Phys. Rev. B 38, 4523 (1988)

    Article  ADS  Google Scholar 

  13. E. Manousakis, S. Fantoni, V.R. Pandharipande, Q.N. Usmani, Phys. Rev. B 28, 3770 (1983)

    Article  ADS  Google Scholar 

  14. J.C. Owen, R.F. Bishop, J.M. Irvine, Ann. Phys. NY 102, 170 (1976)

    Article  ADS  Google Scholar 

  15. J.C. Owen, R.F. Bishop, J.M. Irvine, Nucl. Phys. A 274, 108 (1976)

    Article  ADS  Google Scholar 

  16. J.C. Owen, R.F. Bishop, J.M. Irvine, Nucl. Phys. A 277, 45 (1977)

    Article  ADS  Google Scholar 

  17. R.F. Bishop, C. Howes, J.M. Irvine, M. Modarres, J. Phys. G: Nucl. Phys. 4, 1709 (1978)

    Article  ADS  Google Scholar 

  18. M. Modarres, J.M. Irvine, J. Phys. G: Nucl. Phys. 5, 7 (1979)

    Article  ADS  Google Scholar 

  19. M. Modarres, J.M. Irvine, J. Phys. G: Nucl. Phys. 5, 511 (1979)

    Article  ADS  Google Scholar 

  20. M. Modarres, J. Phys. G: Nucl. Phys. 19, 1349 (1993)

    Article  ADS  Google Scholar 

  21. M. Modarres, J. Phys. G: Nucl. Phys. 21, 351 (1995)

    Article  ADS  Google Scholar 

  22. M. Modarres, J. Phys. G: Nucl. Phys. 23, 923 (1997)

    Article  ADS  Google Scholar 

  23. H.R. Moshfegh, M. Modarres, J. Phys. G: Nucl. Phys. 24, 821 (1998)

    Article  ADS  Google Scholar 

  24. G.H. Bordbar, M. Modarres, J. Phys. G: Nucl. Phys. 23, 1631 (1997)

    Article  ADS  Google Scholar 

  25. G.H. Bordbar, M. Modarres, Phys. Rev. C 57, 714 (1998)

    Article  ADS  Google Scholar 

  26. M. Modarres, G.H. Bordbar, Phys. Rev. C 58, 2781 (1998)

    Article  ADS  Google Scholar 

  27. G.H. Bordbar, M. Bigdeli, Phys. Rev. C 75, 045804 (2007)

    Article  ADS  Google Scholar 

  28. G.H. Bordbar, M. Bigdeli, Phys. Rev. C 76, 035803 (2007)

    Article  ADS  Google Scholar 

  29. G.H. Bordbar, M. Bigdeli, Phys. Rev. C 77, 015805 (2008)

    Article  ADS  Google Scholar 

  30. G.H. Bordbar, M. Bigdeli, Phys. Rev. C 78, 054315 (2008)

    Article  ADS  Google Scholar 

  31. M. Modarres, H.R. Moshfegh, K. Fallahi, Eur. Phys. J. B 36, 485 (2003)

    Article  ADS  Google Scholar 

  32. M. Modarres, Mod. Phys. Lett. B 19 1793(2005)

  33. M. Modarres, J. Low Temp. Phys. 139, 387 (2005)

    Article  ADS  Google Scholar 

  34. B. Skjetne, E. Ostgaard, J. Low Temp. Phys. 113, 55 (1998)

    Article  Google Scholar 

  35. G.H. Bordbar, S.M. Zebarjad, F. Shojaei, Int. J. Theor. Phys. 43, 1863 (2004)

    Article  Google Scholar 

  36. G.H. Bordbar, M. Hashemi, Int. J. Theor. Phys., Group Theory and Nonlinear Optics 8, 251 (2002)

    Google Scholar 

  37. G.H. Bordbar, S.M. Zebarjad, M.R. Vahdani, M. Bigdeli, Int. J. Mod. Phys. B 19, 3379 (2005)

    Article  ADS  Google Scholar 

  38. G.H. Bordbar, M.J. Karimi, J. Vahedi, Int. J. Mod. Phys. B 23, 113 (2009)

    Article  ADS  Google Scholar 

  39. G.H. Bordbar, M.J. Karimi, Int. J. Mod. Phys. B 23, 2373 (2009)

    Article  MATH  ADS  Google Scholar 

  40. G.H. Bordbar, M.J. Karimi, Int. J.Mod. Phys.B23 (2009) in press

  41. A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Body System (McGraw-Hill, New York, 1971)

    Google Scholar 

  42. J.W. Clark, Prog. Part. Nucl. Phys. 2, 89 (1979)

    Article  ADS  Google Scholar 

  43. E. Feenberg, Theory of Quantum Fluids (Academic Press, New York, 1969)

    Google Scholar 

  44. K. Huang, Statistical Mechanics (Wiley, 1987)

  45. P. Heller, Rep. Prog. Phys. 30, 731 (1967)

    Article  ADS  Google Scholar 

  46. C. Pittman, T. Doiron, H. Meyer, Phys. Rev. B 20, 3678 (1979)

    Article  ADS  Google Scholar 

  47. E.R. Grilly, J. Low Temp. Phys. 4, 615 (1971)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Shiraz University, Shiraz, 71454, Iran

    G. H. Bordbar, M. J. Karimi & A. Poostforush

Authors
  1. G. H. Bordbar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. J. Karimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Poostforush
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. H. Bordbar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bordbar, G., Karimi, M. & Poostforush, A. Spin-spin correlation effect on the thermodynamic properties of the polarized liquid 3He at finite temperature. Eur. Phys. J. B 73, 85–94 (2010). https://doi.org/10.1140/epjb/e2009-00398-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2009-00398-5

Keywords

Search

Navigation