## Model Prediction of Self-Rotating Excitons in Two-Dimensional Transition-Metal Dichalcogenides

Using the quasiclassical concept of Berry curvature we demonstrate that a Dirac exciton—a pair of Dirac quasiparticles bound by Coulomb interactions—inevitably possesses an intrinsic angular momentum making the exciton effectively self-rotating. The model is applied to excitons in two-dimensional transition metal dichalcogenides, in which the charge carriers are known to be described by a Dirac-like Hamiltonian. We show that the topological self-rotation strongly modifies the exciton spectrum and, as a consequence, resolves the puzzle of the overestimated two-dimensional polarizability employed to fit earlier spectroscopic measurements.

Maxim Trushin, Mark Oliver Goerbig, and Wolfgang Belzig

Phys. Rev. Lett. 120, 187401 (2018)