Abstract
We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between local magnetic moments in zigzag bilayer phosphorene nanoribbons (ZBLPNRs) under a perpendicular electric field. We evaluate the spatial and electric field dependency of the static spin susceptibility in real space in various configurations of the magnetic impurities at zero temperature. For large distances, the RKKY interaction falls off as for moments located on the zigzag edge, whereas for those placed at interstitial sites it decays as . In the presence of a large bias potential, a beating pattern of the RKKY oscillations occurs when two magnetic impurities are located inside the ZBLPNR. The electrically tunable RKKY interaction of ZBLPNRs is expected to have important consequences on the spintronic application of a biased ZBLPNR. The electronic properties of ZBLPNRs in the presence of gate voltage are also obtained. In comparison to other two-dimensional materials such as graphene, silicene, etc., the ZBLPNR has two nearly degenerate quasiflat edge modes at the Fermi level, isolated from the bulk states. The band-gap modulation of ZBLPNRs by the ribbon width and perpendicular electric field is investigated. Due to the existence of these quasiflat bands at the Fermi level, in the absence of an electric field, a sharp peak in the RKKY interaction is seen. As is shown, the signatures of these unique quasiflat edge modes in ZBLPNRs could be explored by using the RKKY interaction.
1 More- Received 29 July 2018
DOI:https://doi.org/10.1103/PhysRevB.98.205401
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