We use nano Scanning SQUID On Tip (nSOT) to study the interplay between magnetism, superconductivity and topology in thin, exfoliated FeTe_1-xSe_x X~0.45 (FTS). It is suggested that FTS, combining superconductivity and strong spin-orbit coupling may host topological superconductivity and thus Majorana zero modes. The zero resistance of the superconducting state makes transport measurements very hard for determining the nature of the topology. Recently, several STM and ARPES experiments have shown the existence of zero bias states and topological surface states. Still, this system is very complex and further investigation is needed in order to understand its essence.
Here we present local images of the magnetic and superconducting landscapes of a thin superconducting FTS flake. We will also show maps of the thermal conductivity of the flake as a function of temperature and magnetic field.