g tensor anisotropy and chiral light-matter interface in anomalous light cones of interlayer moiré exciton

We investigate interlayer excitons (IXs) in misaligned double layer transition metal dichalcogenides (TMDs) in applied magnetic field and strain induced pseudo-gauge potential. We show these IXs feature an unusual g tensor inside the light cones that are located at the finite kinematic momenta, where Zeeman splitting in the out-of-plane direction can be introduced by both the out-of-plane and in-plane applied magnetic fields. The response to the in-plane magnetic field arises from the magneto-Stark effect since IXs carry a permanent electric dipole. In addition, we show that through the in-plane magnetic field or heterostrain induced pseudo-gauge potential effects on these light cones, chiral light-matter interface could be realized. With the light cone degeneracy lifted by in-plane magnetic field, unidirectional exciton current can be injected using resonant excitation at selected frequencies. In the presence of heterostrain, broad-band circular polarized excitation can also inject unidirectional exciton current. These effects are expected in TMD/BN/TMD van der Waals heterostructures or TMD bilayers of relatively large twisting angle where moiré modulation of the potential landscape is insignificant.