  A thermodynamic and transport study of Sr4Ru3O10 as a function of temperature
and magnetic field are presented. The central results include a growing
specific heat C with increasing field B, a divergent magnetic contribution to
C/T at low temperatures, an abrupt jump and a peak in C/T at 2.90 T and 7 T for
B||ab-plane and B||c-axis, respectively, and corresponding changes in the low T
power laws of the resistivity. The novelty of this work lies in the fact that
the quantum fluctuations occur in a system that shows both intralayer
metamagnetism and interlayer spontaneous ferromagnetism, a feature
characteristically different from all other systems involving quantum
criticality.
