I know what Carnot efficiency is an that only applies to thermal processes. A antenna is not.
I guess you could do a tongue in cheek estimation with the color temperature of the sunlight (6500K) and the temperature of the solar cell lets say 300K for gods sake. Now you do the math...
The nantenna efficiency is both theoretical and specious in its calculation. See:
http://en.wikipedia.org/wiki/Nantenna#Advantages_of_nantennasR. L. Bailey claims that nantennas are not limited by Carnot efficiency, whereas photovoltaics are. However, he does not provide any argument for this claim. Furthermore, when the same assumptions used to obtain the 85% theoretical efficiency for nantennas are applied to single junction solar cells, the theoretical efficiency of single junction solar cells is also greater than 85%.
However the efficiency of energy conversion is not the problem, the problem is the energy density one starts with. That amount is a maximum of about 100 watts per square foot. No matter what you do with it, you will not get any more due to an even more basic law of thermodynamics, conservation of energy, otherwise known as the no free lunch law.
Averaged out to 24 hours per day, 365 days per year actual yield would be no better than 25 watts per sq. ft. Cloud cover knocks it down even more. Every time its form is changed conversion inefficiencies knock it down still more.
In the end it will be energy density and convenience which determine the winners and losers, and solar in most cases performs poorly by both measures.