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Hyperscaling violating `strange metal' phase of heavy fermion compounds canbe described holographically by probe D-branes in the background of a Lifshitzspace-time (dynamical exponent $z$ and spatial dimensions $d$) withhyperscaling violation (corresponding exponent $\theta$). Without thehyperscaling violation, strange metals are known to exhibit zero sound mode for$z<2$ analogous to the Fermi liquids. In this paper, we study its fate in thepresence of hyperscaling violation and find that in this case the zero soundmode exists for $z < 2(1+|\theta|/d)$, where the positivity of the specificheat and the null energy condition of the background dictate that $\theta<0$and $z\geq 1$. However, for $z \geq 2(1+|\theta|/d)$, there is no well-definedquasiparticle for the zero sound. The systems behave like Fermi liquid for$2|\theta|=dz$ and like Bose liquid for $2|\theta| = qdz$ (where $q$ is thenumber of spatial dimensions along which D-branes are extended in thebackground space), but in general they behave as a new kind of quantum liquid.We also compute the AC conductivity of the systems and briefly comment on theresults.

Zero sound in strange metals with hyperscaling violation from holography