We study Cooper-pair phase fluctuations in cuprate superconductors for a spin fluctuation pairing interaction. Using an electronic theory we calculate in particular for the underdoped cuprate superconductors the superfluid density ns(T), the superconducting transition temperature Tc(x)∝ns below which phase coherent Cooper-pairs occur, and Tc∗(x) where the phase incoherent Cooper-pairs disappear. Also we present results for the penetration depth λ(x,T) and for the weak pseudogap temperature T∗(x) at which a gap structure occurs in the spectral density. A Mei{\ss}ner effect is obtained only for T<Tc. We find that phase fluctuations become increasingly important in the underdoped regime and lead to a reduction of Tc in good agreement with the experimental situation.
@article{arxiv.cond-mat/9912062,
title = {Theoretical analysis of Cooper-pair phase fluctuations in underdoped cuprates: a spin-fluctuation exchange study},
author = {D. Manske and T. Dahm and K. H. Bennemann},
journal= {arXiv preprint arXiv:cond-mat/9912062},
year = {2007}
}