Cooper pairing with finite angular momentum: BCS vs Bose limits

Abstract

We revisit the old problem of exotic superconductivity as Cooper pairing with finite angular momentum emerging from a central potential. Based on some general considerations, we suggest that the phenomenonn is associated with interactions that keep electrons at some particular, finite distance (r_{0}), and occurs at a range of intermediate densities (n\sim 1/r_{0}^{3}). We discuss the ground state and the critical temperature in the framework of a standard functional-integral theory of the BCS to Bose crossover. We find that, due to the lower energy of two-body bound states with (l=0), the rotational symmetry of the ground state is always restored on approaching the Bose limit. Moreover in that limit the critical temperature is always higher for pairs with (l=0.) The breaking of the rotational symmetry of the continuum by the superfluid state thus seems to be a property of weakly-attractive, non-monotonic interaction potentials, at intermediate densities.

Proceedings of SCENM02 (to appear in J. Phys. A)

References in corpus (17)

• Resonance superfluidity in a quantum degenerate Fermi gas
• Phase Fluctuations and Pseudogap Phenomena
• On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
• BCS Theory for Trapped Ultracold Fermions
• Pseudogap above Tc in a model with d_{x^2-y^2} pairing
• Nonperturbative XY-model approach to strong coupling superconductivity in two and three dimensions
• Ginzburg-Landau theory of superconductors with short coherence length
• Density-induced BCS to Bose-Einstein crossover
• BCS superfluidity in ultracold gases with unequal atomic populations
• Unusual thermodynamical and transport signatures of short coherence length superconductors: A BCS Bose-Einstein crossover approach
• BCS to Bose Crossover in Anisotropic Superconductors
• Two Phase Transitions in Chiral Gross-Neveu Model in $2+\epsilon$ Dimensions at Low N
• Comment on ``BCS to Bose-Einstein crossover phase diagram at zero temperature for a d_{x^2-y^2} order parameter superconductor: Dependence on the tight-binding structure''
• Size shrinking of composite bosons for increasing density in the BCS to Bose-Einstein crossover
• Exotic pairing via a central attraction: from the BCS to the Bose limits
• Finite Range Model Interaction Potential for d-wave Superconductors: Tc vs. Doping in the Cuprates
• On the nature of the superconducting gap in the cuprates

Cited by in corpus (1)

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