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Volumn 70, Issue 13, 2004, Pages

Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BOSON; CROSSOVER PROCEDURE; FERMION; HYDRODYNAMICS; LOW TEMPERATURE; MAGNETIC FIELD; MODEL; PHASE TRANSITION; PHENOMENOLOGY; QUANTUM MECHANICS; SEMICONDUCTOR; TEMPERATURE DEPENDENCE;

EID: 42749107784     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.134502     Document Type: Article
Times cited : (30)

References (80)
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    • See, for instance, M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 437 (2003); M. W. Zwierlein, C. A. Stan, C. H. Schunk, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003); S. Joachim, M. Bartenstein, A. Altmeyer. S. Riedl, C. Chin, J. H. Denschlag, and R. Grimm, Science 302, 2102 (2003); C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004); J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turpalov, and J. E. Thomas, ibid. 92, 150402 (2004); T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruel, S. J. J. M. F. Kokkelmans, and C. Salomon, cond-mat/0403091 (unpublished).
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    • See, for instance, M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 437 (2003); M. W. Zwierlein, C. A. Stan, C. H. Schunk, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003); S. Joachim, M. Bartenstein, A. Altmeyer. S. Riedl, C. Chin, J. H. Denschlag, and R. Grimm, Science 302, 2102 (2003); C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004); J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turpalov, and J. E. Thomas, ibid. 92, 150402 (2004); T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruel, S. J. J. M. F. Kokkelmans, and C. Salomon, cond-mat/0403091 (unpublished).
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    • note
    • This procedure bears some analogies with the one used in Ref. 12.
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    • note
    • r.
  • 46
    • 11144307161 scopus 로고    scopus 로고
    • note
    • ρ|Δ| by working directly in the attractive Hubbard model and introducing Hubbard-Stratonovich fields both in the particle-particle and particle-hole channels as done in Ref. 12. This approach, however, suffers from the difficulties mentioned after Eqs. (7) in Sec. II.
  • 48
    • 11144257589 scopus 로고    scopus 로고
    • note
    • xy(Q,Q) in the weak-coupling limit.
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    • For a derivation of the Magnus force acting on a vortex in a fermion superfluid, based on a Berry phase term calculation, see P. Ao and D. J. Thouless, Phys. Rev. Lett. 70, 2158 (1993).
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    • note
    • Note that the (self-consistent) T-matrix approximation fails to reproduce the pseudogap in the spectral function A(k, ω). For a critical discussion and references see Ref. 51.
  • 70
  • 71
    • 11144285279 scopus 로고    scopus 로고
    • note
    • HS field introduced in Sec. II. See the discussion after Eq. (10).
  • 73
    • 11144280901 scopus 로고    scopus 로고
    • note
    • δm〉=0 (Appendix E).
  • 74
    • 11144344789 scopus 로고    scopus 로고
    • note
    • r〉.
  • 77
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    • note
    • The mapping onto the Heisenberg model and the collective mode energy [Eq. (95)] have also been obtained in Ref. 42.


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