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We theoretically study self-consistent proximity effects in finite-sized systems consisting of ferromagnet ($rm F$) layers coupled to an $s$-wave superconductor ($rm S$). We consider both $rm SF_1F_2$ and $rm SH$ nanostructures, where the $rm F_1 F_2$ bilayers are uniformly magnetized, and the ferromagnetic $rm H$ layer possesses a helical magnetization profile. We find that when the $rm F_1 F_2$ layers are weakly ferromagnetic, a hard gap can emerge when the relative magnetization directions are rotated from parallel to antiparallel. Moreover, the gap is most prominent when the thicknesses of $rm F_1$ and $rm F_2$ satisfy $rm d_{F1}leq d_{F2}$, respectively. For the $rm SH$ configuration, increasing the spatial rotation period of the exchange field can enhance the induced hard gap. Our investigations reveal that the origin of these findings can be correlated with the propagation of quasiparticles with wavevectors directed along the interface. To further clarify the source of the induced energy gap, we also examine the spatial and energy resolved density of states, as well as the spin-singlet, and spin-triplet superconducting correlations, using experimentally accessible parameter values. Our findings can be beneficial for designing magnetic hybrid structures where a tunable superconducting hard gap is needed.
Ferromagnet/superconductor heterostructures allow for the combination of unique physical phenomena offered by the both fields of magnetism and superconductivity. It was shown recently that spin waves can be efficiently scattered in such structures by
The theoretical and experimental results concerning the thermodynamical and low-frequency transport properties of hybrid structures, consisting of spatially-separated conventional low-temperature superconductor (S) and ferromagnet (F), is reviewed. S
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