Superconducting d-wave dispersion

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SUMMARY

The discussion centers on the differing representations of the d-wave gap in superconductivity literature, specifically Δ(k)=Δ[cos(kx)-cos(ky)]/2 versus Δ(k)=2Δ[cos(kx)-cos(ky)]. The discrepancy arises from variations in how the gap value is defined across different papers, with the first representation being more commonly used. Additionally, the term "dispersion" is debated, as it is more accurately referred to as gap symmetry or order parameter symmetry in the context of superconductivity.

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Niles
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Hi

In litterature, I have noticed some authors write the dispersion for the d-wave gap as Δ(k)=Δ[cos(kx)-cos(ky)]/2, and some write it as Δ(k)=2Δ[cos(kx)-cos(ky)]. Where does this difference come from?
 
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Niles said:
Hi

In litterature, I have noticed some authors write the dispersion for the d-wave gap as Δ(k)=Δ[cos(kx)-cos(ky)]/2, and some write it as Δ(k)=2Δ[cos(kx)-cos(ky)]. Where does this difference come from?

It would be helpful if you actually cite the references. There's no way for us to know how the gap value is defined in those papers. Most of the papers defined it using the first.

BTW, I don't recall seeing this being called the "dispersion". I've seen it called as the gap symmetry or the order parameter symmetry, but never "dispersion".

Zz.
 

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