Abstract
The critical behavior of the BCS order parameter: a straightforward derivation
Highlights
One may read that this is a standard result for any mean-field theory, the student may wonder, why it does not follow straightforwardly from the model?
Α and B are computed only in the weakcoupling limit ωD kBTc, where ωD is the Debye frequency. This is certainly an aesthetically not very pleasing situation and I doubt the student really wants to grind through the approximations just to get this simple result
The following lines show a little trick straightening out this situation
Summary
Where the prefactor B is a non-universal coefficient and the exponent has the classical value α = 1/21. One may read that this is a standard result for any mean-field theory, the student may wonder, why it does not follow straightforwardly from the model? In the literature this outstandingly simple statement is obtained in a rather roundabout manner. Α and B are computed only in the weakcoupling limit ωD kBTc, where ωD is the Debye frequency.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
