  Long-range interactions drive some of the rich phenomenology of quasiparticle
collective states in the fractional quantum Hall (FQH) regime. We test for
analogues in models of fractional Chern insulators (FCIs) derived from a
screened Coulomb interaction. We find that the uniform FCI liquid is
surprisingly robust to long-range interactions but gives way to a
unidirectional charge density wave (CDW) of fractionally charged quasiparticles
with increased screening length. Our results show that FCIs offer a robust and
important platform for studying quasiparticles collective states.
