Delocalization\nof Quasiparticle Moire States\nin Twisted Bilayer hBN

Twisted bilayers host many emergent phenomena in which\nthe electronic\nexcitations (quasiparticles, QPs) are closely intertwined with the\nlocal stacking order. By inspecting twisted hexagonal boron nitride\n(t-hBN), we show that nonlocal long-range interactions in large twisted\nsystems cannot be reliably described by the local (high-symmetry)\nstacking and that the band gap variation (typically associated with\nthe moiré excitonic potential) shows multiple minima with variable\ndepth depending on the twist angle. We investigate twist angles of\n2.45°, 2.88°, 3.48°, and 5.09° using the GW approximation\ntogether with stochastic compression to analyze the QP state interactions.\nWe find that band-edge QP hybridization is suppressed for intermediate\nangles that exhibit two distinct local minima in the moiré\npotential (at AA region and saddle point (SP)) which become degenerate\nfor the largest system (2.45°).