Existing multilayer amorphous panels have a stack of several (three, I think) layers, electrically in series, going from progressively shorter to longer wavelengths as the light penetrates into the cell.
The voltage across each layer is that of the bandgap. The material is transparent to longer wavelength (redder, lower energy photon) light, but absorbs light at the wavelength of the bandgap and shorter (bluer, higher energy photons). The excess energy of the photon, beyond that matching the bandgap energy, is lost, as heat or re-radiated near-infrared photons.
So if you stack it up blue-to-red-to-infrared the photons penetrate to the layer that can most efficiently use them.
You have to match your choice of bandgaps to the spectrum of the incident light, so you absorb about the same number of photons in each layer. The current will be limited by the layer that absorbs the lowest photon count.
These guys were already talking about carefully creating nanostructures of several (three wasn't it?) particular sizes - no doubt to pull this stunt with several bands of infrared. Perhaps they can continue with still smaller particles to get into the visible wavelengths. Or perhaps not - in which case they can just cover their structures with the current generation stuff.