Layer-resolved magnetotransport properties in antiferromagnetic/paramagnetic superlattices: Proximity effect induced antiferromagnetism in a paramagnetic metal

We investigate the layer-resolved magnetotransport properties of the antiferromagnetic/paramagnetic superlattices based on one-band half-filled Hubbard model in three dimensions. In our set up, the correlated layers (with on-site repulsion strength $U\ensuremath{\ne}$ 0) are intercalated between the uncorrelated ($U=0$) layers. Our calculations, based on the semiclassical Monte Carlo technique, show that the magnetic moments are induced in the thin uncorrelated layers at low temperatures due to kinetic hopping of the carriers across the interface. The average induced magnetic moment in the uncorrelated layers varies nonmonotonically with the $U$ values of the correlated layers. Interestingly, the induced magnetic moments are antiferromagnetically arranged in the uncorrelated layers and mediate antiferromagnetic ordering between the correlated layers. As a result, the whole superlattice system turns out to be antiferromagnetic insulating at low temperatures. At the same time, for $U\ensuremath{\sim}$ bandwidth, the local moments in the correlated planes increase as a function of the distance from the interface. Expectedly, our in-plane resistivity calculations show that the metal-insulator transition temperature of the central plane is larger than the edge planes in the correlated layers. On the other hand, although the induced moments in uncorrelated planes decrease considerably as move from the edge planes to the center planes, the metal-insulator transition temperature remains more or less the same for all planes. The induced moments in the uncorrelated layers gradually dissipate with increasing the thickness of the uncorrelated layer, and as a result, the long-range antiferromagnetic ordering vanishes in the superlattices, similar to the experiments.