Fluctuation contribution to the specific heat in non-Fermi models for superconductivity

We investigate the fluctuation contribution to the specific heat of a two-d imensional superconductor with a non-Fermi normal state described by a Ande rson Green's function G(k,i omega) = omega (-alpha)(c)(i omega - epsilon (k ))(1-alpha). The specific heat corrections contain a term proportional to ( T-2 alpha - T-c(2 alpha))(-1) and another logarithmic one. We define a cohe rence length as function of the non-Fermi parameter alpha, which shows that a crossover study between BCS and Bose-Einstein condensation is possible b y varying the non-Fermi parameter alpha.