Direct observation of minibands in twisted heterobilayers

Abstract: Stacking two-dimensional (2D) van der Waals materials with different interlayer atomic registry in a heterobilayer causes the formation of a long-range periodic superlattice that may bestow the heterostructure with exotic properties such as new quantum fractal states [1-3] or superconductivity [4, 5]. Recent optical measurements of transition metal dichalcogenide (TMD) heterobilayers have revealed the presence of hybridized interlayer electron-hole pair excitations at energies defined by the superlattice potential [6-10]. The corresponding quasiparticle band structure, so-called minibands, have remained elusive and no such features have been reported for heterobilayers comprised of a TMD and another type of 2D material. Here, we introduce a new X-ray capillary technology for performing micro-focused angle-resolved photoemission spectroscopy (microARPES) with a spatial resolution on the order of 1 $\mu$m, enabling us to map the momentum-dependent quasiparticle dispersion of heterobilayers consisting of graphene on WS$_2$ at variable interlayer twist angles ($\theta$). Minibands are directly observed for $\theta = 2.5^{\circ}$ in multiple mini Brillouin zones (mBZs), while they are absent for a larger twist angle of $\theta = 26.3^{\circ}$. These findings underline the possibility to control quantum states via the stacking configuration in 2D heterostructures, opening multiple new avenues for generating materials with enhanced functionality such as tunable electronic correlations [11] and tailored selection rules for optical transitions [12].