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Volumn 66, Issue 21, 2002, Pages 2145261-21452612

Cooper pairing with finite angular momentum via a central attraction: From the BCS to the Bose limits

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DENSITY; ELECTRIC CONDUCTIVITY; FINITE ELEMENT ANALYSIS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; PHASE TRANSITION; QUANTUM MECHANICS; ROTATION;

EID: 0142167304     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (57)
  • 2
    • 33646634749 scopus 로고
    • edited by E. Caianiello (Academic, New York)
    • R. Balian, in The Many-Body Problem, edited by E. Caianiello (Academic, New York, 1964), Vol. 2.
    • (1964) The Many-Body Problem , pp. 2
    • Balian, R.1
  • 16
    • 0000345412 scopus 로고
    • For fermions in a continuum with a repulsive interaction V(r), the Kohn-Luttinger mechanism [W. Kohn and J.M. Luttinger, Phys. Rev. Lett. 15, 524 (1965)] can lead to pairing with high angular momentum [A.V. Chubukov and M.Yu. Kagan, J. Phys.: Condens. Matter 1, 3135 (1989)]. But note that in this case the BE limit can never be realized, since obviously there is no two-body bound state.
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 524
    • Kohn, W.1    Luttinger, J.M.2
  • 17
    • 0012950738 scopus 로고
    • For fermions in a continuum with a repulsive interaction V(r), the Kohn-Luttinger mechanism [W. Kohn and J.M. Luttinger, Phys. Rev. Lett. 15, 524 (1965)] can lead to pairing with high angular momentum [A.V. Chubukov and M.Yu. Kagan, J. Phys.: Condens. Matter 1, 3135 (1989)]. But note that in this case the BE limit can never be realized, since obviously there is no two-body bound state.
    • (1989) J. Phys.: Condens. Matter , vol.1 , pp. 3135
    • Chubukov, A.V.1    Kagan, M.Yu.2
  • 32
    • 0004145387 scopus 로고
    • edited by A. Griffin, D. Snorke, and S. Stringari (Cambridge University Press, Cambridge, England)
    • M. Randeria, in Bose-Einstein Condensation, edited by A. Griffin, D. Snorke, and S. Stringari (Cambridge University Press, Cambridge, England, 1995).
    • (1995) Bose-Einstein Condensation
    • Randeria, M.1
  • 34
    • 33646615167 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Bristol
    • J. Quintanilla, Ph.D. thesis, University of Bristol, 2001.
    • (2001)
    • Quintanilla, J.1
  • 37
    • 0003517283 scopus 로고
    • Benjamin/Cummings, New York
    • P. Anderson and W. Brinkman, in The Helium Liquids: Proceedings of the 15th Scottish Universities Summer School in Physics, 1974, edited by J. Armitage and I. Farquhar (Academic Press, New York, 1975) [reprinted in P.W. Anderson, Basic Notions of Condensed Matter Physics (Benjamin/Cummings, New York, 1984)].
    • (1984) Basic Notions of Condensed Matter Physics
    • Anderson, P.W.1
  • 38
    • 33646634201 scopus 로고    scopus 로고
    • note
    • Note the similarity of this behavior to that of some lattice models (cf., for example, the dependence of the critical temperature on band filling shown in Fig. 18 of Ref. 3).
  • 39
    • 33646626545 scopus 로고    scopus 로고
    • note
    • 2order parameters, we would presumably have found two second-order (instead of one first-order) phase transitions, in analogy with the similar results in Ref. 12. Clearly, such more elaborate variational calculation would be a necessary first step for an analysis of the critical behavior at these points.
  • 56
    • 33646619888 scopus 로고    scopus 로고
    • note
    • v is taken into account. However, the expression in Ref. 23 does not admit a small-frequency expansion of the form (A3) because as is well known (Refs. 8 and 31) it has a branch cut along the real axis that crosses the imaginary axis whenever μ>0. (On the other hand, such an expression is the correct starting point for the derivation of a time-dependent Ginzburg-Landau theory (Ref. 23), which obviously involves an expansion along the real axis.)


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