# Aluminum critical current vs temperature fit

I have some data at different temperatures of Al's critical current (from 600 mK to 1.5K). Tc of Al is ~ 1.3.

I am now trying to fit this data to a model to extract the theoretical critical current at 0K.

I have tried depairing Ginzburg-Landau model:

$$I = IC_0 (1+(\frac{T}{T_C})^2)^\frac{3}{2}(1-(\frac{T}{T_C})^2)^\frac{1}{2}$$

but this model doesn't seem to saturate fast enough. I know this because for a few samples I have experimentally gone down to 10mK to see if the fit was able to extract the proper result - but it always over estimates.

Here is my data:

Temperature Critical Current
0.01    3.69470157
0.59744 3.514991345
0.65171 3.265043489
0.70076 2.978933734
0.75021 2.700637918
0.80103 2.413791532
0.84878 2.086939551
0.89572 1.819489189
0.94717 1.532756131
0.99626 1.244667864
1.01643 1.130430784
1.03626 1.024324017
1.05633 0.910153046
1.07605 0.804981232
1.09791 0.708171108
1.11795 0.612456485
1.13841 0.516217721
1.15944 0.421844141
1.18032 0.335218393
1.20003 0.258073446
1.22204 0.181296813
1.24223 0.115157866
1.25935 0.069310744


**usually I dont' have the 10mK data-point, hence the want for fit+extraction.

What's the proper theoretical fit for this data?