Various works have recently been proposed to address global representation and capture complex interactions, with most however introducing angular local environment embeddings and edge representation updating to further boost the expressivity of the model , at the price however of much higher memory and computing costs. Furthermore, while maintaining information of a "global state" in the architecture has shown to implicitly encode global representation and improve expressivity in practice , no existing method, to the best of our knowledge, can systematically and efficiently capture longer-range interatomic interactions for both molecular and solid-state systems.