Non-interacting Cooper pairs inside a pseudogap

Details Non-interacting Cooper pairs inside a pseudogap Non-interacting Cooper pairs inside a pseudogap

1997-05-13

arxiv.org/abs/cond-mat/9705124v1

Phys.Rev.B 56, 3372 (1997)

Physics

Condensed Matter

Superconductivity

LaTeX (prbbib.sty included), 24 pages, 4 PostScript figures To appear in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.56.3372

I present a simple analytical model describing the normal state of a superconductor with a pseudogap in the density of states, such as in underdoped cuprates. In nearly two-dimensional systems, where the superconducting transition temperature is reduced from the mean-field BCS value, Cooper pairs may be present as slow fluctuations of the BCS pairing field. Using the self-consistent T-matrix (fluctuation exchange) approach I find that the fermion spectral weight exhibits two BCS-like peaks, broadened by fluctuations of the pairing field amplitude. The density of states becomes suppressed near the Fermi energy, which allows for long-lived low-energy Cooper pairs that propagate as a sound-like mode with a mass. A self-consistency requirement, linking the width of the pseudogap to the intensity of the pairing field, determines the pair condensation temperature. In nearly two-dimensional systems, it is proportional to the degeneracy temperature of the fermions, with a small prefactor that vanishes in two dimensions.

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