(c),(d) Spin-resolved density of states of scattering states incoming from electrode 1 for the ↑ ↓ and ↑ ↑ spin configuration, respectively, computed at E − E F = 0.5 eV. The dashed lines in each configuration indicate a symmetry axis that maps the device geometry to itself through mirror operations, where the red (black) color of the axis further indicates that the spin index is inverted (conserved) by the symmetry operation. The ribbons are separated by a distance d = 3.34 Å along the z axis, as displayed in the side view. ![]() The lower, horizontal ribbon is plotted in black, while the upper, intersecting at an angle of 60°, is depicted in gray. The up (down) spin density is shown in red (blue). (a),(b) Two different self-consistent solutions for the spin-density distribution in the device region, labeled ↑ ↓ and ↑ ↑, respectively, defined by the spin orientation of the lower edge of each GNR. Transport setup and spin-dependent properties for A B-stacked 8-ZGNR devices. Our findings suggest that GNRs are interesting building blocks in spintronics and quantum technologies with applications for interferometry and entanglement. A near-perfect polarization can be achieved by joining several junctions in series. ![]() By studying different ribbons and intersection angles we provide evidence that this is a general feature with edge-polarized nanoribbons. We show that the beam-splitting effect survives the opening of the well-known correlation gap and, more strikingly, that a spin-dependent scattering potential emerges which spin polarizes the transmitted electrons in the two outputs. Here we scrutinize this effect for devices composed of narrow zigzag GNRs taking explicitly into account the role of Coulomb repulsion that leads to spin-polarized edge states within mean-field theory. Junctions composed of two crossed graphene nanoribbons (GNRs) have been theoretically proposed as electron beam splitters where incoming electron waves in one GNR can be split coherently into propagating waves in two outgoing terminals with nearly equal amplitude and zero back-scattering.
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