Topological Control of Polaritonic Flatbands in Anisotropic van der Waals Metasurfaces

Anisotropic van der Waals (vdW) materials exhibit direction-dependent optical and electronic properties, making them valuable for tailoring directional light-matter interactions. Rhenium disulfide (ReS$_2$) stands out for its strong in-plane anisotropy and its thickness-independent direct-bandgap excitons, which can hybridize with light to form exciton-polaritons. In parallel, metasurfaces, engineered arrays of nanoscale subwavelength resonators, can support ultra-sharp photonic modes in the form of quasi-bound states in the continuum (qBICs). Topological transformations of photonic modes can give rise to flatbands, i.e., dispersionless states with quenched kinetic energy and vanishing group velocity. Intrinsic material anisotropy offers an unexplored route to robust far-field flatband formation and control. Here, we demonstrate how structuring an intrinsically anisotropic excitonic material into a resonant metasurface fundamentally transforms its photonic topological features and light-matter coupling behavior, allowing us to drive and topologically control extended far-field flatband formation. To this end, we fabricate C$_4$-symmetric metasurfaces directly from bulk ReS$_2$. The intrinsic anisotropy lifts the initial double degeneracy of the qBIC mode and yields two distinctly polarized resonances. It also reshapes the topological landscape: the integer topological charge of the qBIC mode splits into momentum-separated half-integer singularities, thereby flattening the far-field photonic dispersion. The resulting topologically-controlled photonic flatbands are then tuned in resonance with the linearly polarized excitonic transitions of ReS$_2$, resulting in two distinct, directionally hybridized exciton-polariton flatband regimes. These findings establish anisotropic vdW metasurfaces as a new platform for topologically engineered flatbands and flatband-driven light-matter coupling.