Theory of photoluminescence from the Wigner crystal in a strong magnetic field

We develop a theory of photoluminescence from the magnetically induced two-dimensional Wigner crystal. It is found that the photoluminescence spectrum is a weighted measure of the single particle density of states of the electron system, which for an undisturbed electron lattice has the intricate structure of the Hofstadter butterfly. It is shown that the interaction of a localized hole with the electron lattice wipes out this structure, but that an itinerant hole can, in principle, detect it. Experimental implications are discussed.