How do you get unusually large topological numbers in a quasicrystal?

Most topological materials carry a Chern number of 1 or 2, a quantum fingerprint of their exotic properties. By driving cold atoms with carefully tuned laser fields that create a quasicrystal structure, this scheme generates Chern numbers well beyond that range and reads them out through Thouless pumping — counting how many atoms slide across the system per cycle. Large Chern numbers are a stepping stone toward fractional Chern insulators, the lattice cousins of fractional quantum Hall states.