I was surprised to see that the lime cycle itself is carbon-neutral, if I am reading it correctly. Is cement's footprint due to the energy required to make it? Or is the chemistry of portland cement not carbon-neutral?
Complicating matters is the fly ash component of modern concrete. Fly ash can replace 50% or more of the portland cement in concrete. Fly ash is a byproduct of burning coal. So when you replace the coal plants with solar arrays, you need to create even more portland cement than you would need to if you were burning coal (and using the subsequent fly ash in your concrete.)
Wikipedia speaks to it a bit: