▎ 摘　　要

We study the behavior of equilibrium spin currents near the magic angles of twisted bilayer and trilayer graphene in the presence of Rashba spin-orbit coupling. There is a substantial difference in the properties of local observables in twisted graphene layers, as compared with those in single and/or untwisted graphene layers. Remarkably, when plotted as a function of the twist angle theta, the electronic charge density and the equilibrium spin currents are nonanalytic at angles that are close to within 1% of the magic angles. In addition to the occurrence of rich spin texture patterns, these findings enable the determination of magic angles within an accuracy of less than 0.01 degrees in terms of a scanning tunneling microscopy measurement of the local density and spin-resolved measuring devices for measuring equilibrium spin currents.