Plasmon properties in four-layer graphene structures: Temperature and Inhomogeneity effects

We employ the random-phase approximation to determine the collective excitations and respective broadening functions in 4-MLG structures on an inhomogeneous background dielectric within the temperature effects. Computations present that four plasmon modes exist, corresponding to one in-phase and three out-of-phase oscillations of charged particles, in the systems. We obtain that plasmon frequency and respective broadening functions behave as increasing functions of temperature with sufficiently large wave vectors. Dissimilarly, in small wave vector regions, the increase in temperature slightly decreases plasmon energy, but further temperature increases increase this parameter. In addition, as the separation increases, both plasmon frequency and broadening functions significantly decrease, and the inhomogeneity of the dielectric background decreases strongly plasmon energy and its loss. We observe that both temperature and the inhomogeneity of the environment should be taken into account in calculations. PACS: 73.22.Pr; 73.20.Mf; 73.21.Ac