EM response function of the Phase Action of a BCS superconductor

[physengineer]

EM response function of the "Phase Action" of a BCS superconductor

Hello,

I am looking for a paper in which people calculated the EM response of phase action of A BCS SC. In the book "Condensed Matter Field Theory" by Altland and Simons, on page 393 they mention such a thing in the discussion of divergence of conductivity.

I would appreciate it if you could introduce me some references, as my effort to find it through search for it has been futile.

Here is the action:

$$S[\theta]=\int dx ( \nu (\partial_\tau \theta)^2+\frac{n_s}{2m} (\nabla \theta)^2 )$$

Here is what is needed to be calculated:

$$K_{ij}(x,x')=-\frac{n_s}{m}[\delta_{ij}-\frac{n_s}{m}\left\langle \partial_i \theta (x) \partial_j \theta(x') \right \rangle]$$

Thank you in advance!

 

[DrDu]

Try Schrieffer's book, "Theory of Superconductivity". He has a derivation of the response kernel and it is quite readable.