Can SCTK compute \omega_ln (average phonon frequencies in McMillan formula) too?

[alpinnovianus]

SCTK can compute $\lambda$ and $\mu$ . Two parameters for McMillan formula.

Can SCTK also compute $\omega_\mathrm{ln}$ (average phonon frequencies in McMillan formula) too?

[mitsuaki1987]

$\lambda$ and $\omega\textrm{ln}$ can be computed with alpha2f.x or q2r.x+matdyn.x. You can see examples in PHonon/Examples/ directory. While $\mu^*$ is a little complicated. That is not equivalent to $\mu\textrm{C}+\mu_\textrm{s}$.

[alpinnovianus]

λ and ωln can be computed with alpha2f.x or q2r.x+matdyn.x. You can see examples in PHonon/Examples/ directory.

If there's a discrepancy between $\lambda$ values from alpha2f.x and sctk.x (calculation : lambda_mu_k), which one should be prioritized?

I think it's the sctk.x one as its $\lambda$ value is directly computed from the kernels that are also used to compute the Tc. Hence they're more closely related to each other.

While μ∗ is a little complicated. That is not equivalent to μC+μs.

I see. Can you elaborate?

I notice also in the benchmark paper (Phys. Rev. B 101, 134511, 2020) that $\mu_c$ and $\mu_s$ are generally larger $(0.3-0.5)$ than the typically chosen value for $\mu* = 0.1-0.15$.

So I notice in page 10, you made a comparison of $\mu_C$ with previous calculations of $\mu$ and not $\mu$ (ref. 38 and 39). Hence I guess calculation=lambda_mu_k gives $\mu$ and not the rescaled quantity $\mu$.

We also confirm that we reproduced the averaged Coulomb interaction μC in Eq. (46) in the earlier works for Al and Nb; μC is 0.251 and 0.429 for Al and Nb, respectively, in this paper whereas those in the earlier studies are 0.236 [38] and 0.488 [39].

If so, how should we typically analyze $\mu_c$ and $\mu_s$ from sctk.x ? is it possible (and is it necessary) to translate these values to $\mu*$?

otherwise, what is the typical thought process to analyze the $\mu_c$ and $\mu_s$ values?