IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v228y1996i1p102-114.html
   My bibliography  Save this article

Effective action for the superfluid Fermi gas

Author

Listed:
  • Brussaard, P.
  • van Weert, Ch.G.

Abstract

In this paper we revisit the derivation of the Landau expansion for superfluid 3He. Following Nijhoff, Capel and Den Breems we adopt a model interaction which contains an L = 1 pairing interaction and a contact term of the Hubbard type. We formulate the problem in the language of the path integral and construct the Gibbs free energy as a functional of the order parameter. In the mean-field approximation there is agreement with the exact results of Capel et al. Applying standard perturbation theory, we show that the contribution of the Hubbard interaction to the Landau coefficients is represented by a sum of 1PI diagrams.

Suggested Citation

  • Brussaard, P. & van Weert, Ch.G., 1996. "Effective action for the superfluid Fermi gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 228(1), pages 102-114.
    • Handle: RePEc:eee:phsmap:v:228:y:1996:i:1:p:102-114
    DOI: 10.1016/S0378-4371(96)00056-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437196000568
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(96)00056-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. den Ouden, L.W.J. & Capel, H.W. & Perk, J.H.H. & Tindemans, P.A.J., 1976. "Systems with separable many-particle interactions. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 51-70.
    2. Nijhoff, F.W. & Capel, H.W. & Den Breems, A., 1985. "Separable interactions and liquid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(3), pages 375-411.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Capel, H.W. & Nijhoff, F.W. & Den Breems, A., 1986. "Separable interactions and liquid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 139(2), pages 256-305.
    2. Capel, H.W. & Schakel, Adriaan M.J., 1989. "Symmetry breaking patterns in superfluid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 409-441.
    3. Nijhoff, F.W. & Capel, H.W. & Den Breems, A., 1986. "Separable interactions and liquid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 295-327.
    4. Maćkowiak, J., 1983. "On the exact mean-field description of continuous quantum systems in equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 47-75.
    5. Falk, H. & Falk, C.T., 1978. "Data cluster analysis: Abrupt transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(2), pages 325-332.
    6. Perk, J.H.H. & Capel, H.W. & den Ouden, L.W.J., 1977. "Convex-envelope formulation for separable many-particle interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(3), pages 555-568.
    7. Maćkowiak, J., 1985. "A solvable model of an anisotropic superconductor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 509-530.
    8. Capel, H.W. & Den Ouden, L.W.J. & Perk, J.H.H., 1979. "Stability of critical behaviour, critical-exponent renormalization and first-order transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 371-416.
    9. Shumovsky, A.S. & Yukalov, V.I., 1982. "Exact solutions for heterophase ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(3), pages 518-534.
    10. Nijhoff, F.W. & Capel, H.W. & Den Breems, A., 1985. "Separable interactions and liquid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(3), pages 375-411.
    11. Nijhoff, F.W. & Capel, H.W., 1981. "Separable interactions and liquid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(3), pages 369-397.
    12. Maćkowiak, J., 1983. "On the exact mean-field description of continuous quantum systems in equilibrium II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 59-84.
    13. Maćkowiak, J., 1982. "On the mean field description of systems of point particles in equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 302-320.
    14. Bakulev, A.P. & Bogoljubov, N.N. & Kurbatov, A.M., 1986. "Rigorous results in the theory of superconductivity with Coulomb-like repulsion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(2), pages 359-376.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:228:y:1996:i:1:p:102-114. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.