Formation of cavity resonance states in twisted bilayer graphene

Twisted bilayer graphene belong to van der Waals two-dimensional materials that demonstrate low-energy relativistic gapless dispersion relation. Although carries can not be permanently confined within electrostatically formed cavity for this reason (in pristine condition), we show that transitory states with lifetimes up to several microseconds may exist for twist angle theta = 1.05 degrees while changing the twist towards theta = 0.5 degrees lowers the lifetimes by few orders of magnitude. Generally, these resonances occur in density of states spectra grouped in small bunches which positions in energy depend on the magnitude of cavity's confinement potential. Analysis of local density of states corresponding to transitory states reveals that sequence of excitations in each bunch can have ascending as well as descending character. Moreover, density develop the superstructure composed of small density spots or closed-loops centered at AA sites and the overall superstructure may mimic the rotational symmetry of cavity or C-6 symmetry for higher excitations, even though all of them actually have C-3 symmetry inherited from underlying TBLG Moire lattice.

Automated summary

Twisted bilayer graphene exhibits low-energy relativistic gapless dispersion relation and can have transitory states with specific density superstructures.