Evolution from BCS superconductivity to Bose condensation: analytic results for the crossover in three dimensions

Marini, M.; Pistolesi, F.; Strinati, G. C.

doi:10.1007/s100510050165

Cited by 186 publications

(307 citation statements)

References 14 publications

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“…In the BEC limit, 1/(k F a s ) → ∞, as well as in the BCS limit, 1/(k F a s ) → −∞, we get a good agreement with the known analytic results 29,30 for the coherence length, indicated as dashed curves in figure 1.…”

Section: A Tanh-profilesupporting

confidence: 88%

Verification of an analytic fit for the vortex core profile in superfluid Fermi gases

Verhelst

Klimin

Tempere

2017

Physica C: Superconductivity and its Applications

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A characteristic property of superfluidity and -conductivity is the presence of quantized vortices in rotating systems. To study the BEC-BCS crossover the two most common methods are the Bogoliubov-De Gennes theory and the usage of an effective field theory. In order to simplify the calculations for one vortex, it is often assumed that the hyperbolic tangent yields a good approximation for the vortex structure. The combination of a variational vortex structure, together with cylindrical symmetry yields analytic (or numerically simple) expressions.The focus of this article is to investigate to what extent this analytic fit truly reflects the vortex structure throughout the BEC-BCS crossover at finite temperatures. The vortex structure will be determined using the effective field theory presented in [Eur. Phys. Journal B 88, 122 (2015)] and compared to the variational analytic solution. By doing this it is possible to see where these two structures agree, and where they differ. This comparison results in a range of applicability where the hyperbolic tangent will be a good fit for the vortex structure.1 arXiv:1603.02523v1 [cond-mat.quant-gas]

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Section: A Tanh-profilesupporting

confidence: 88%

Verification of an analytic fit for the vortex core profile in superfluid Fermi gases

Verhelst

Klimin

Tempere

2017

Physica C: Superconductivity and its Applications

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“…The gap to Fermi-energy ratio ∆/e F and the ratio ξ rms /d between the r.m.s. radius and the average inter-particle distance are then monotonic functions of the interaction parameter 1/k F a [34,82]. The functional form of the Cooper pair wave function, defined by Eq.…”

Section: Relation To the Bcs-bec Crossovermentioning

confidence: 99%

Spatial structure of neutron Cooper pair in low density uniform matter

2006

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We analyze spatial structure of the neutron Cooper pair in superfluid low-density uniform matter by means of BCS calculations employing a bare force and the effective Gogny interaction. It is shown that the Cooper pair exhibits a strong spatial di-neutron correlation in a wide range of neutron density ρ/ρ0 ≈ 10 −4 − 0.5. This feature is related to the crossover behavior between the pairing of the weak coupling BCS type and the Bose-Einstein condensation of bound neutron pairs. We also show that the zero-range delta interaction can describe the spatial structure of the neutron Cooper pair if the density dependent interaction strength and the cut-off energy are appropriately chosen. Parameterizations of the density-dependent delta interaction satisfying this condition are discussed.

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“…Within the mean-field extended BCS theory [28,30], the bulk chemical potential µ and the gap energy ∆ of the uniform Fermi gas are found by solving the following extended Bogoliubov-de Gennes equations [26,30] …”

Section: Nlse For Superfluid Fermionsmentioning

confidence: 99%

dc Josephson effect with Fermi gases in the Bose-Einstein regime

2009

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We show that the DC Josephson effect with ultracold fermionic gases in the BEC regime of composite molecules can be described by a nonlinear Schrödinger equation (NLSE). By comparing our results with Bogoliubov-de Gennes calculations [Phys. Rev. Lett. 99, 040401 (2007)] we find that our superfluid NLSE, which generalizes the Gross-Pitaevskii equation taking into account the correct equation of state, is reliable in the BEC regime of the BCS-BEC crossover up to the limit of very large (positive) scattering length. We also predict that the Josephson current displays relevant beyond mean-field effects.

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Evolution from BCS superconductivity to Bose condensation: analytic results for the crossover in three dimensions

Cited by 186 publications

References 14 publications

Verification of an analytic fit for the vortex core profile in superfluid Fermi gases

Verification of an analytic fit for the vortex core profile in superfluid Fermi gases

Spatial structure of neutron Cooper pair in low density uniform matter

dc Josephson effect with Fermi gases in the Bose-Einstein regime

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