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Metals can undergo geometric quantum phase transitions where the localcurvature of the Fermi surface changes sign without a change in symmetry ortopology. At the inflection points on the Fermi surface, the local curvaturevanishes, leading to an anomalous dynamics of quasiparticles. In this paper, westudy geometric quantum critical metals that support inflection points in twodimensions, and show that the decay rate of quasiparticles goes as $E^{\alpha}$with $1<\alpha<2$ as a function of quasiparticle energy $E$ at the inflectionpoints.

Anomalous quasiparticle lifetime in geometric quantum critical metals