Ab initio study of electronic and magnetic properties of FeRh(001), FeRh(110) and FeRh(111) ultrathin films

•Theoretical calculations have been carried out to study ultrathin FeRh films.•The results obtained are mostly influenced by the surface termination (-Rh or -Fe).•The surface energy follow the relationship σ110 < σ001 < σ111.•FeRh(001) and FeRh(110) surfaces are energetically favored respect to FeRh(111).•Rh improves some properties when the number of layers is less than that of Fe.•In almost all studied configurations, the AFM coupling is more stable than the FM.