Topological superconductivity induced by quantum spin fluctuations

Topological superconductors are associated with the appearance of Majorana bound states, with promising applications in topologically protected quantum computing. In this talk, we present systems where non-collinear, possibly toplogical, spin-textures is interfaced with a normal metal. Through interfacial exchange coupling, spin fluctuations in these gound states mediate an effective electron-electron interaction in the normal metal. We study superconductivity within a weak-coupling approach and solve gap equations both close to the critical temperature and at zero temperature. Special features in the effective electron-electron interaction due to the noncolinearity of the magnetic ground state yield topological superconductivity at the interface. We elucidate the minimal requirements for obtaining topological superconductivity.