Quantum Oscillations and Competing Ground States in triple layered Sr4Ru3O10

The triple-layered Sr$_{4}$Ru$_{3}$O$_{10}$ is characterized by an unexpectedly strong quasi-two dimensional characteristic, and a sharp metamagnetic transition and ferromagnetic behavior occurring within the basal plane and along the c axis, respectively. The interplane resistivity at magnetic field B, up to 45 T, exhibits low-frequency quantum oscillations associated with the spin polarized state when B is parallel to the c axis, and a large magnetoresistivity accompanied by critical fluctuations governed by the metamagnetic transition when B is perpendicular to the c axis. The complex behavior evidenced in magnetization, specific heat, and resistivity presented is not characteristic of any obvious ground states, and points to an unusual state that shows a delicate balance between fluctuations and order. The results will be presented and discussed along with comparisons with data of impurity doped Sr$_{4}$Ru$_{3}$O$_{10}$.