Title: Strong magneto-optical responses of an ensemble of defect-bound excitons in aged WS$_{2}$ and WSe$_{2}$ monolayers

Abstract: Transition metal dichalcogenide (TMD) monolayers present a singular coupling in their spin and valley degrees of freedom. Moreover, by applying an external magnetic field it is possible to break the energy degeneracy between their K and $-$K valleys. Thus, this analogous valley Zeeman effect opens the possibility of controlling and distinguishing the spin and valley of charge carriers in TMDs by their optical transition energies, making these materials promising for the next generation of spintronic and photonic devices. However, the free excitons of pristine TMD monolayer samples present a moderate valley Zeeman splitting, which is measured by their g-factor values that are approximately $-4$. Therefore, for application purposes it is mandatory alternative excitonic states with higher magnetic responses. Here we investigate the valley Zeeman effect in aged WS$_{2}$ and WSe$_{2}$ grown monolayers by magneto-photoluminescence measurements at cryogenic temperatures. These samples present a lower energy defect-bound exciton emission related to defects adsorbed during the aging process. While the free excitons of these samples exhibit g-factors between $-3$ and $-4$, their defect-bound excitons present giant effective g-factor values of $-(25.0 \pm 0.2)$ and $-(19.1 \pm 0.2)$ for WS$_{2}$ and WSe$_{2}$ aged monolayers, respectively. In addition, we observe a significant spin polarization of charge carriers in the defective mid gap states induced by the external magnetic fields. We explain this spin polarized population in terms of a spin-flip transition mechanism, which is also responsible for the magnetic dependent light emission of the defect-bound exciton states. Our work sheds light in the potential of aged TMDs as candidates for spintronic based devices.