Short-wavelength Fluctuations of the Specific Heat in a Superconducting Thick Film

A theoretical study of short-wavelength fluctuation effects on the specific heat above is reported for superconducting thick films with the arbitrary conduction dimensionality between two and three dimensions (2D and 3D). In the present calculations, momentum cutoff effects in the fluctuation spectrum are taken into consideration in the context of the Aslamazov-Larkin theory. Our result covers the 2D or 3D formula presented previously in each limit, and shows a temperature dependent dimensionality between 2D and 3D. Effects of a total-energy cutoff and experimental situations are briefly discussed.