Spin Configurations of Anyonic excitations in Moir'e Fractional Chern Insulators

We have examined the nature of elementary excitations in particular, their spin polarization, in recently discovered zero-field fractional Chern insulator in twisted bilayer MoTe 2. We have found that the finite-size bilayer system, in close proximity to a planar parabolic quantum dot containing a single electron (or a hole), forms an incompressible spin-unpolarized fractional Chern insulator at 1/3 filling factor. The corresponding energy gap is found to be large and weakly dependent on the separation between the quantum dot and the bilayer. We predict that in this fractional Chern insulator coupled to a quantum dot, spin-unpolarized quasiparticles and quasiholes are expected to appear as low-energy elementary excitations. The charge density results indicate that, for the spin-unpolarized quasiparticles, the positive charge is strongly localized near the negatively charged QD within the spin-flipped component, whereas for the spin-polarized quasiparticles, such localization is much less pronounced.