Magic angle and plasmon mode engineering in twisted trilayer graphene with pressure

Recent experimental and theoretical investigations demonstrate that twisted trilayer graphene (tTLG) is a highly tunable platform to study the correlated insulating states, ferromagnetism, superconducting properties. Here we explore possibility of tuning electronic correlations tTLG via vertical pressure. A full tight-binding model used accurately describe pressure-dependent interlayer interactions. Our results show pressure can push relatively larger twist angle (for instance, $1.89^{\circ}$) reach flat-band regime. Next, obtain relationship between pressure-induced magic value critical These values are almost half needed in case bilayer graphene. Then, plasmonic properties further investigated flat band with both zero-pressure angle. Two modes detected these two kinds samples. By comparison, one high energy damping-free plasmon mode shows similar behavior, other low (flat-band plasmon) obvious differences. The contributed by interband intraband transitions bands, its divergence due various shape bands angles. This may provide an efficient way regimes strong weak interactions sample overcoming technical requirement precise control physics.