Graphene bilayer and trilayer Moiré lattice with Rashba spin-orbit coupling

Abstract

We consider twisted bilayer and trilayer graphene in the presence of Rashba spin-orbit coupling and explore the physics of Moiré 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.

arXiv comment5 pages, references added, few corrections inserted

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Cited by in corpus (2)

• Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
• Rashba spin splitting based on trilayer graphene systems