Double metamagnetic transition in Sr$_{4}$Ru$_{3}$O$_{10}$ investigated by low temperature magnetization measurements*

We report a study of the magnetization of the n$=$3 member of the Sr$_{n+1}$Ru$_{n}$O$_{3n+1}$ Ruddlesden-Popper series down to $^{3}$He temperatures. Sr$_{4}$Ru$_{3}$O$_{10}$ exhibits~ferromagnetism below 105 K with magnetic moments aligned along the crystallographic $c$-direction in the tetragonal crystal structure. Metamagnetism is observed at about 2 T below 50 K when a magnetic field is applied in the \textit{ab}- plane. A recent study on high quality samples revealed that the metamagnetism has a substructure [1]. We extend the studies to very low temperatures and found i) a clear double peak in dM/dH, ii) that the metamagnetism is accompanied by a reduction of the magnetic moment and iii) no further splitting of the metamagnetic anomalies to the lowest temperatures of 0.46 K. Furthermore, the measurements indicate a shift of both metamagnetic signatures to higher fields by rotating from $H$//\textit{ab} to $H//c$. We will discuss the phase diagram and possible ordered states. \\[4pt] [1] E. Carleschi et \textit{al}. PRB \textbf{90}, 205120 (2014).