Towards a solution for the puzzle of the high-field, low-temperature phase in CeCoIn$_5$: An NMR investigation

The unravelling of long range magnetic order within the superconducting phase of CeCoIn$_5$, limited in a narrow region of the phase diagram near $H_{c_2}$, has opened a new window for the understanding of the interplay between magnetic and superconducting orders. Nevertheless, essential questions regarding the exact nature of the magnetic structure and the superconducting order parameter, as well as the driving mechanisms of their coexistence, remain unanswered. In this talk, we attempt to shed some light on these puzzles by analyzing the results of our detailed high-field, low-temperature Nuclear Magnetic Resonance study.