Acoustoelectric effect in graphene with degenerate energy dispersion

Acoustoelectric current (jac) in Free-Standing Graphene (FSG) having degenerate energy dispersion at low temperatures T⪡TBG (TBG is the Block-Gruneisen temperature) was studied theoretically. We considered electron interaction with in-plain acoustic phonons in the hypersound regime (sound vibration in the range 109−1012Hz). The obtained expression for jac was numerically analyzed for various temperatures (T) and frequencies (ωq) and graphically presented. The non-linear dependence of jac on ωq varied with temperature. This qualitatively agreed with an experimentally obtained result which deals with temperature dependent acoustoelectric current in graphene [21].