  We propose to use local electromagnetic noise spectroscopy as a versatile and
noninvasive tool to study Wigner crystal phases of strongly-interacting
two-dimensional electronic systems. In-plane imaging of the local noise is
predicted to enable single-site resolution of the electron crystal when the
sample-probe distance is less than the inter-electron separation. At larger
sample-probe distances, noise spectroscopy encodes information about the
low-energy Wigner crystal phonons, including the dispersion of the transverse
shear mode, the pinning resonance due to disorder, and optical modes emerging,
for instance, in bilayer crystals. We discuss the potential utility of local
noise probes in analyzing the rich set of phenomena expected to occur in the
vicinity of the melting transition.
