Qj. Chen et al., Superconducting transitions from the pseudogap state: d-wave symmetry, lattice, and low-dimensional effects, PHYS REV B, 59(10), 1999, pp. 7083-7093
We investigate the behavior of the superconducting transition temperature w
ithin a previously developed BCS Bose-Einstein crossover picture. This pict
ure, based on a decoupling scheme of Kadanoff and Martin, further extended
by Patton, can be used to derive a simple form for the superconducting tran
sition temperature in the presence of a pseudogap. We extend previous work
which addressed the case of s-wave pairing in jellium, to explore the solut
ions for T-c as a function of variable coupling in more physically relevant
situations. We thereby ascertain the effects of reduced dimensionality, pe
riodic lattices, and a d-wave pairing interaction. Implications for the cup
rate superconductors are discussed. [S0163-1829(99)01110-8].