Two-dimensional excitonic quasiparticles in a three-dimensional crystal: The case of anatase TiO2

Bound electronic excitations play a major role in the electrodynamics of insulators and are typically described by the concept of Wannier-Mott and Frenkel excitons. The former represent hydrogenic electron-hole pairs delocalized over several unit cells of a crystal and they occur in materials with high dielectric constant; the latter correspond to a correlated electron-hole pair localized on a single lattice site and they mostly prevail in molecular solids. Between these two extremes, an intermediate type of excitons exists, typically referred to as charge-transfer excitons. A prototypical system in which these rare quasiparticles have been theoretically predicted but never experimentally confirmed is the anatase polymorph of TiO$_2$, which is one of the most promising material for light-energy conversion applications. Here, we combine angle-resolved photoemission and optical spectroscopies, along with ab initio state-of-the-art theoretical calculations, to demonstrate that the direct optical gap of anatase TiO$_2$ is dominated by a charge-transfer exciton band rising over the continuum of indirect interband transitions. In particular, we find that the lowest exciton possesses a two-dimensional nature and is characterized by a giant binding energy of $\sim$ 300 meV. The universality of these findings is proven in highly defective samples used in light-energy conversion applications, by interrogating these systems out-of-equilibrium via ultrafast two-dimensional UV spectroscopy.