Mapping nanoscale charge states and phase domains with quantitative hyperspectral coherent diffractive imaging spectroscopy

The critical properties of functional materials and nanoscale devices often originate from the coexistence of different thermodynamic phases and / or oxidization states, but sample makeup is seldom completely known a priori. Coherent diffractive imaging (CDI) provides the spatial resolution needed to observe nanoscale coexistence while returning the full amplitude and phase information of an object, but to date lacks the spectral information necessary for composition identification. Here we demonstrate CDI spectroscopy (CDIS), acquiring images of the prototypical quantum material vanadium oxide across the vanadium L2,3 and oxygen K X-ray absorption edges with nanometer scale resolution. Using the hyperspectral X-ray image we show coexistence of multiple oxidization states and phases in a single sample and extract the full complex refractive index of V2O5 and the monoclinic insulating and rutile conducting phases of VO2. These results constrain the role of hidden phases in the insulator-to-metal transition in VO2.