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Two-dimensional (2D) materials combined with the presence of surfacenearly-free electrons (NFE) have been considered quite interesting platforms tobe exploited for the development of 2D electronic devices. Furtherincorporation of foreign elements adds a new degree of freedom to engineer theelectronic as well as the magnetic properties of 2D materials. Here we haveperformed an ab-initio study of Ca$_{2}$N, electrenes fully (i.e., both sides)adsorbed by hydrogen (H/Ca$_{2}$N/H) and fluorine (F/Ca$_{2}$N/F) atoms. TheNFE states are suppressed in these systems, followed by the appearance of a netmagnetic moment localized in the nitrogen atoms intercalated by thehydrogenated or fluorinated calcium layers. In the sequence, we have proposedlateral heterostructures combining the H/Ca$_{2}$N/H or F/Ca$_{2}$N/F regionswith pristine Ca$_{2}$N, electrenes [(Ca$_{2}$N)(X/Ca$_{2}$N/X), with X=H orF]. We found that the magnetic moment of the hydrogenated or fluorinatedregions promotes the emergence of spin-polarized NFE states confined along thepristine (Ca$_{2}$N) stripes. Further electronic transport calculations revealthat the (X/Ca$_{2}$N/X) regions act as spin-dependent scattering centers,spin-filters. We believe that these findings make an important contribution tothe development of spintronic devices based on 2D electrides.

Spin-polarized nearly-free electron channels on the Ca$_{2}$N electrenes