Abstract
The most of superconductors are highly anisotropic superconductors, then the measurement on the superfluid density properties of superconductors are complicated and depended on directions. In this study, the superfluid density of anisotropic superconductors was studied by semiclassical approach. We are interested in the spin-singlet superconducting state with the anisotropic spherical Fermi surface, and the anisotropic gap function with the spherical ellipse shape in weak-coupling limit. After some calculation, we can derive the temperature dependent formula of the superfluid density near zero temperature for the ab- and c- spatial components. The numerical calculation fit to the experimental data of CaAlSi superconductor was shown. We found that our model can fit well, then the CaAlSi superconductor shows the anisotropic superfluid density.
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