Metamagnetic Quantum Criticality in Metals

We present a renormalization group treatment of metamagnetic quantum criticality in metals. We show that for clean systems the universality class is that of the overdamped, conserving (dynamical exponent $z=3\mathrm{}$) Ising type. We obtain detailed results for the field and temperature dependence of physical quantities including the differential susceptibility, resistivity, and specific heat. Our results are shown to be in quantitative agreement with data on ${\mathrm{Sr}}_3{\mathrm{Ru}}_2{\mathrm{O}}_7$ except very near to the critical point itself.