Electronic heat capacity was calculated for a mesoscopically disordered s-wave superconductor treated as a spatial ensemble of domains with a continuously varying superconducting properties. The domains are assumed to have sizes larger than the coherence length. Each domain is characterized by a certain critical temperature. The averaging over the superconducting gap distribution leads to quadratic temperature dependence of the specific heat at low temperatures, whereas its anomaly at the critical temperature is substantially smeared. The results explain well the heat capacity data for MgB2, where a multiple-gap structure is observed.
@article{arxiv.cond-mat/0112100,
title = {Heat capacity of mesoscopically disordered superconductors:implications to MgB$_{2}$},
author = {A. M. Gabovich and A. I. Voitenko and Mai Suan Li and H. Szymczak and M. Pekala},
journal= {arXiv preprint arXiv:cond-mat/0112100},
year = {2009}
}