Nonlocal electrodynamics of superconductors

  • #1
Hello,

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!
 

Answers and Replies

  • #2
DrDu
Science Advisor
6,210
866
Take in mind that the relation between J and the electric or magnetic fields is very non-local even if the k dependence of sigma were negligible due to the very non local dependence of A on B.
The k dependence of sigma is observed in superconductors of Pippard type, e.g. in the skin effect.
 

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