{ "id": "2109.14308", "version": "v3", "published": "2021-09-29T09:48:44.000Z", "updated": "2022-07-27T08:13:18.000Z", "title": "Graphene bilayer and trilayer Moiré lattice with Rashba spin-orbit coupling", "authors": [ "Yshai Avishai", "Yehuda Band" ], "comment": "5 pages, references added, few corrections inserted", "journal": "Phys. Rev. B106 L041406 (2022)", "categories": [ "cond-mat.mes-hall" ], "abstract": "We consider twisted bilayer and trilayer graphene in the presence of Rashba spin-orbit coupling and explore the physics of Moir\\'e spintronics. The electronic charge density has a sharp step right at the magic angles $\\theta_m$. As a result, local spin observables (polarization and equilibrium spin currents) have sharp peaks (of width about a small fraction of 1$^\\circ$) as a function of the twist angle $\\theta$, and abrupt sign reversals at $\\theta_m$. Thereby, the magic angle can be determined in an unprecedented accuracy. In the first chiral limit, the spin currents vanish, but the peculiar pattern of the polarization at $\\theta_m$ persists. Major differences result in spintronics of twisted bilayer graphene at magic angles as compared with the spintronics of single and/or {\\it un-twisted} bilayer graphene. Thus, in addition to the numerous spectacular physical phenomena already reported in twisted bilayer graphene at magic angles, new phenomena also occur in twistronic spintronics.", "revisions": [ { "version": "v3", "updated": "2022-07-27T08:13:18.000Z" } ], "analyses": { "keywords": [ "rashba spin-orbit coupling", "magic angle", "graphene bilayer", "twisted bilayer graphene", "spintronics" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }