Modification of the Fermi Surface of a Ferromagnetic Metal at a Metamagnetic Transition: Shubnikov de Haas Effect in High Quality Single Crystals of Sr$_{4}$Ru$_{3}$O$_{10}$

We performed a detailed electrical transport study at low temperatures and high magnetic fields in high quality single crystals of the tri-layered ferromagnetic metal Sr$_{4}$Ru$_{3}$O$_{10}$. We observed Shubnikov de Haas oscillations for several frequencies. The most prominent orbits have two-dimensional character and display frequencies $F_{\alpha }$ = 9959 T, $F_{\beta }$ = 3949 T, $F_{\gamma }$ = 1877 T corresponding respectively to 73.5, 29.2 and 13.9{\%} of the area of the orthorhombic first Brillouin zone (FBZ). Several additional orbits, mostly with frequencies below 2 kT have also been identified, whose spectral weight and frequencies are shifted by a metamagnetic transition induced by an in-plane field component.