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We probe the local magnetic properties of interfaces between the insulatingferromagnet EuS and the topological insulator Bi$_2$Se$_3$ using low energymuon spin rotation (LE-$\mu$SR). We compare these to the interface between EuSand the topologically trivial metal, titanium. Below the magnetic transition ofEuS, we detect strong local magnetic fields which extend several nm into theadjacent layer and cause a complete depolarization of the muons. However, inboth Bi$_2$Se$_3$ and titanium we measure similar local magnetic fields,implying that their origin is mostly independent of the topological propertiesof the interface electronic states. In addition, we use resonant soft X-rayangle resolved photoemission spectroscopy (SX-ARPES) to probe the electronicband structure at the interface between EuS and Bi$_2$Se$_3$. By tuning thephoton energy to the Eu anti-resonance at the Eu $M_5$ pre-edge we are able todetect the Bi$_2$Se$_3$ conduction band, through a protective Al$_2$O$_3$capping layer and the EuS layer. Moreover, we observe a signature of aninterface-induced modification of the buried Bi$_2$Se$_3$ wave functions and/orthe presence of interface states.

Do topology and ferromagnetism cooperate at the EuS/Bi$_2$Se$_3$ interface?