Spin-relaxation and Yu-Shiba-Rusinov states in superconducting graphene

2D materials in the proximity of super-/semi-conductor are expected to host a wide spectrum of different phenomena. In my talk I will focus on spin-relaxation in graphene proximitized by an s-wave superconductor. In normal graphene the electron spin lifetime is surprisingly short, ranging from 0.1 to 10 ns, depending on the sample quality. Because of small intrinsic spin-orbit coupling the underlying mechanism for the fast spin relaxation had been an outstanding puzzle. Adatom impurities can affect spin-relaxation via locally enhanced spin-orbit coupling (SOC) [1], or local magnetic moments [2]. I will argue that quasiparticle spin-relaxation in superconducting graphene can disentangle those two contributions due to different doping and temperature dependence [3]. Moreover, I will analyze the stability of the induced local magnetic moments, and the emergence of Yu-Shiba-Rusinov (YSR) bound states in such proximity induced superconducting systems. This research was supported by DFG SFB 1277 and GRK 1570 and by the European Union's Horizon 2020 research and innovation programme under Grant agreement No. 696656.