Conventional superconductors are often modelled using Bardeen-Cooper-Schrieffer (BCS) theory with an s-wave order parameter, but not all superconductors describable with BCS theory have an s-wave order parameter.

Are there any particular requirements needed to model p- or d-wave BCS superconductors in ab initio calculations, which are not included when modelling s-wave superconductors?

  • $\begingroup$ Could you provide an example of a conventional superconductor without an s-wave order parameter? Because, in the literature I'm familiar with, the conventional superconductors are always associated with s-wave Cooper pairing. $\endgroup$ – Anyon Oct 25 '20 at 17:31
  • $\begingroup$ @Anyon I am thinking of superconductors that can be explained with BCS theory, but have a p- or d-wave order parameter. From a quick search, I do seem to find that there are more articles that take "conventional superconductor" to imply an s-wave order parameter, rather than meaning just describable with BCS theory (regardless of whether there is an s-, p- or d-wave order parameter). I will edit my question for clarity. $\endgroup$ – 2ndQuantized Oct 29 '20 at 22:07

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