Scattering rate, transport and specific heat in a metal close to a quantum critical point: emergence of a robust Fermi liquid picture?

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We calculate the low temperature one-particle scattering rate and the specific heat in a weakly disordered metal close to a quantum critical point. To lowest order in the fluctuation potential, we obtain typical Fermi-liquid results proportional to T² and T respectively, with prefactors which diverge as a power law of the control parameter upon approaching the critical point. The Kadowaki-Woods ratio is shown to be independent of the control parameter only for the case of 3-D FM fluctuations. Our work is relevant for experiments on CeCoIn₅ and Sr₃Ru₂O₇.