Magnetic coupling between dopant atoms in superconducting doped topological insulators

Doped topological insulators have been shown to exhibit unconventional superconducting phases where novel bound states can occur at defects such as vortices. Recent experimental studies on Niobium-doped Bismuth Selenide have shown that the magnetic properties of dopant atoms can strongly affect the resulting superconducting phase. This effect is mainly due to the development of Yu-Shiba-Rusinov bound-states at the magnetic atoms and the coupling of such states through the superconducting environment. In this talk, we show that the doping level can critically affect the type of magnetic coupling between dopant atoms in superconducting doped topological insulators and thereby influence their magnetic and superconducting properties.