I have this loglog plot that I would like to clean up on y-axis which, you see below, is a bit of a mess.

I would like the plot to look like this:

More specifically I want to remove the ticks that are visible between the values (0, 10e-2, 10e-4, 10e-6, 10e-8, 10e-10). How to achieve this?
You can turn the minor ticks off: