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Conductivity [itex]\sigma (\omega, k)[/itex] in Fourier space is defined by

[tex]

J(\omega, k)= \sigma (\omega, k) A(\omega, k)

[/tex]

In most cases the local limit of [itex] k\rightarrow 0 [/itex] is a good approximation particulalry in type I superconductors and HTC superconductors.

I am interested in cases where non-local electrodynamics [itex] k\neq 0 [/itex] is important. I would appreciate it if you could help me with

1-Can this nonlocality be observed?

2- Are there any applications based on this nonlocality?

3- Are you aware of any experiments or theoretical works that emphasises or uses this?

4-Anything related to the importance of nonlocal elecytrodynamics?

Thanks a lot in advance!