In BCS you make the assumption that the effective electron-electron interaction is constant within a small shell around the fermi surface and zero otherwise. From this you get a constant spherical gap.(adsbygoogle = window.adsbygoogle || []).push({});

In non s-wave SC there is a specific form for the gap ie, [tex]\Delta_0 = [ \cos (k_x a) - \cos (k_y a)] [/tex]. I know that you can calculate the gap parameter using group theory and the underlying symmetry of the crystal lattice. But is there a way to choose an arbitary form for [tex] k \cdot k^\prime[/tex], self consistently solve the gap equation and arrive at a d-wave gap or any other non s-wave gap?

How do you choose the effective electron-electron interaction? Is it based on the atomic orbitals that are believed to be responsible for SC? I've done a few searches and all I find is a assumption for the form of the gap. Thanks

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# Non s-wave superconductivity

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