Graphene, a truly two-dimensional hexagonal lattice of carbon atoms, possesses remarkable properties not seen in any other material, including ultrahigh electron mobility, high tensile strength, and uniform broadband optical absorption. While scientists initially studied its intrinsic properties with small, mechanically exfoliated graphene crystals found randomly, applying this knowledge would ...

Graphene-based nanoelectromechanical systems (NEMS) have high future potential to realize sensitive mass and force sensors owing to graphene’s low mass density and exceptional mechanical properties. One of the important remaining issues in this field is how to achieve mechanical resonators with a high quality factor (Q). Energy dissipation in resonators decreases Q, and suppressing it is the ke...

Motivated by recent experimental observations of correlated metallic phases and superconductivity in rhombohedral trilayer graphene (RTG), we perform an unbiased study electronic ordering instabilities hole-doped RTG. Specifically, focus on states energetically proximate to Van Hove singularities (VHSs), where a large density promotes different interaction-induced symmetry-breaking orders. To r...

We derive the Hamiltonian for trilayer moir\'e systems with Coulomb interaction projected onto bands near charge neutrality point. Motivated by latest experimental results, we focus on twisted symmetric graphene (TSTG) a mirror-symmetry respect to middle layer. provide full symmetry analysis of non-interacting perpendicular displacement field coupling band structure made otherwise bilayer (TBG)...