Project record

The manuscript outlines a detailed methodology for predicting topological superconductivity using first-principles calculations. It links Quantum ESPRESSO, Wannier90, and EPW to generate a realistic, band and momentum dependent pairing gap $\Delta_{n}(k,T)$ that is explicitly transferred into an orbital-spin Wannier pairing matrix $\Delta_{\alpha\beta}(k,T)$ . A central theoretical construct is the Bogoliubov-de Gennes Hamiltonian, represented as follows:

H_{BdG}(k)=\begin{pmatrix}H_{W}(k)-\mu&\hat{\Delta}(k,T)\\\hat{\Delta}^{\dagger}(k,T)&-H_{W}^{T}(-k)+\mu\end{pmatrix}

For two-dimensional class-D phases, the topological invariant is the Chern number, calculated across negative-energy bands:

\mathcal{C}_{BdG}=\frac{1}{2\pi}\sum_{E_{m}<0}\int_{BZ}\Omega_{m,z}^{BdG}(k)d^{2}k

A nonzero Chern number in a gapped bulk indicates the presence of chiral Majorana boundary modes. The experimental robustness of these boundary states heavily depends on the topological minigap $E_{top}=\min_{k,m}\vert{}E_{m}^{BdG}(k)\vert{}$ , which must be large enough to overcome disorder and thermal fluctuations. The proposed material architecture integrates an altermagnetic layer for compensated momentum-dependent spin splitting, a sliding ferroelectric interface for switchable inversion breaking, and a two-dimensional superconductor. By evaluating these realistic physical interactions, the framework seeks to establish nonvolatile electrical switching of the topological invariant, aiming for outcomes like $\mathcal{C}_{BdG}(+P_{0})=-\mathcal{C}_{BdG}(-P_{0})$ .