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Two-dimensional superconductors have attracted growing interest because oftheir scientific novelty, structural tunability, and useful properties. Studiesof their magnetic responses, however, are often hampered by difficulties togrow large-size samples of high quality and uniformity. We report here animaging method that employed NV- centers in diamond as sensor capable ofmapping out the microwave magnetic field distribution on an ultrathinsuperconducting film of micron size. Measurements on a 33nm-thick film and a125nm-thick bulk-like film of $Bi_2Sr_2CaCu_2O_{8+\delta}$ revealed that the acMeissner effect (or repulsion of ac magnetic field) set in at 78K and 91K,respectively; the latter was the superconducting transition temperature (Tc) ofboth films. The unusual ac magnetic response of the thin film presumably wasdue to thermally excited vortex-antivortex diffusive motion in the film.Spatial resolution of our ac magnetometer was limited by optical diffractionand the noise level was at 14 ${\mu}T/Hz^{1/2}$. The technique could beextended with better detection sensitivity to extract local acconductivity/susceptibility of ultrathin or monolayer superconducting samplesas well as ac magnetic responses of other two-dimensional exotic thin films oflimited lateral size.

Mapping Dynamical Magnetic Responses of Ultra-thin Micron-size Superconducting Films using Nitrogen-vacancy Centers in Diamond