The Laughlin vortex crystal in ideal Chern bands

We have uncovered a novel phase transition of the celebrated Laughlin Fractional quantum Hall wave-function from its topologically ordered fluid phase onto a power-law-correlated vortex crystal in flat Chern bands with ideal quantum geometry. We will present a theory of ground state correlations and collective modes of these states across this transition and discuss their potential relevance to anomalous fractional quantum Hall phenomena in platforms such as moiré MoTe2, twisted bilayer graphene and pentalayer graphene.