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Hypersound amplification/absorption of acoustic phonons in Graphene withdegenerate energy dispersion $\varepsilon(p)$ near the Fermi level wastheoretically studied. For $k_{\beta}T << 1$ and $ql >> 1$, the dependence ofthe absorption coefficient $\Gamma/\Gamma_0$ on ${V_D\over V_s}$ was studiedwhere the results satisfied the Cerenkov effect. That is when ${V_D\over V_s} >1$, an amplification was obtained but for ${V_D\over V_s} < 1$, an absorptionwas obtained which could lead to Acoustoelectric Effect (AE) in Graphene. Alinear dependence of the $\Gamma/\Gamma_0$ on $\omega_q$ was observed where theresult obtianed qualitatively agreed with an experimentally observedacoustoelectric current in Graphene via the Weinrich relation. It isinteresting to note from this study that, frequencies above $10THz$ can beattained for $V_D = 1.1ms^{-1}$. This study permit the use of Graphene ashypersound phonon laser (SASER).

Amplification of Hypersound in Graphene with degenerate energy dispersion