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## Ferromagnetic insulator induced inverse proximity effect in superconducting DoS

A ferromagnetic insulator proximate with a superconductor induces some spin asymmetry in superconducting correlations. Density of states (DoS) changes as a result of the induction of magnetization in superconductor (S) under the influence of the inverse proximity effect with the ferromagnetic insulator (FI). The study solves the Usadel equations numerically and calculates characteristic features of the density of states at the interface boundary and at the boundary with vacuum, caused by FI. The electron density of states was analyzed, showing significant singlet-to-triplet conversion, even for small values of the interface parameter (φ). In DoS, the zero bias peak tends to play a larger role than the spin-splitting of the BCS peaks. The features of the density of state obtained in this work can be measured experimentally