Low energy collective modes, Ginzburg-Landau theory, and pseudogap behavior in superconductors with long-range pairing interactions

Abstract

We study the superconducting instability in systems with long but finite ranged, attractive, pairing interactions. We show that such long-ranged superconductors exhibit a new class of fluctuations in which the internal structure of the Cooper pair wave function is soft, and thus lead to "pseudogap" behavior in which the actual transition temperature is greatly depressed from its mean field value. These fluctuations are {\it not} phase fluctuations of the standard superconducting order parameter, and lead to a highly unusual Ginzburg-Landau description. We suggest that the crossover between the BCS limit of a short-ranged attraction and our problem is of interest in the context of superconductivity in the underdoped cuprates.

20 pages with one embedded ps figure. Minor revisions to the text and references. Final version to appear in PRB on Nov. 1st, 2000

References in corpus (6)

• Classical Phase Fluctuations in High Temperature Superconductors
• Pseudogaps in Underdoped Cuprates
• Many-body Theory vs Simulations for the pseudogap in the Hubbard model
• Linear dependence of peak width in $χ(\bq, ω)$ vs T_c for YBCO superconductors
• Effect of thermal phase fluctuations on the superfluid density of two-dimensional superconducting films
• Pairing symmetry and long range pair potential in a weak coupling theory of superconductivity

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• The field theory of a superconductor with repulsion
• Domes of $T_c$ in single-band and multiband superconductors with finite-range attractive interactions
• Universal and nonuniversal features of Bardeen-Cooper-Schrieffer theory with finite-range interactions
• One-dimensional scattering of two-dimensional fermions near quantum criticality
• High-Temperature Superconductivity from Finite-Range Attractive Interaction
• Quasiparticle scattering in a superconductor near a nematic critical point: resonance mode and multiple attractive channels
• Higgs mode stabilization by photo-induced long-range interactions in a superconductor
• Renormalization formalism for superconducting phase transition with inner-Cooper-pair dynamics
• Non-thermal pairing glue of electrons in the steady state
• The Effect of Repulsion on Superconductivity at Low Density