Introduction¶
This manual explains about the first-principles program package “Superconducting-Toolkit” based on the density functional theory for superconductors. Superconducting-Toolkit constructs the gap equation
\[\begin{align}
\Delta_{n {\bf k}} = -\frac{1}{2} \sum_{n' {\bf k}'}
\frac{K^{el}_{n {\bf k} n' {\bf k}'} + K^{\rm el-ph}_{n {\bf k} n' {\bf k}'}}{Z_{n {\bf k}}}
\frac{\Delta_{n' {\bf k}'}}{E_{n' {\bf k}'}}
\tanh\left( \frac{\beta E_{n' {\bf k}'}}{2} \right)
\end{align}\]
from QuantumESPRESSO outputs and obtains the superconducting gap function \(\Delta_{n {\bf k}}\) by solving this equation. This program is developed by Mitsuaki Kawamura in ISSP, Japan.