Spin-selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowires

We theoretically investigate the transport properties of a quasi-one-dimensional ferromagnet-superconductor junction where the superconductor consists of mixed singlet and triplet pairings. We show that the relative orientation of the Stoner field ($\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\mathbf{h}}$) in the ferromagnetic lead and the $\mathbf{d}$ vector of the superconductor acts like a on-off switch for the zero bias conductance of the device. In the regime, where triplet pairing amplitude dominates over the singlet counterpart (topological phase), a pair of Majorana zero modes appear at each end of the superconducting part of the nanowire. When $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\mathbf{h}}$ is parallel or antiparallel to the $\mathbf{d}$ vector, transport gets completely blocked due to blockage in pairing while, when $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\mathbf{h}}$ and $\mathbf{d}$ are perpendicular to each other, the zero energy two terminal differential conductance spectra exhibits sharp transition from $4{e}²/h$ to $2{e}²/h$ as the magnetization strength in the lead becomes larger than the chemical potential indicating the spin-selective coupling of a pair of Majorana zero modes to the lead.