Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions

Recent studies on topological flat bands and their fractional states have suggested an analogy between moiré flat bands and Landau levels (LLs). Here, the authors describe a family of single component wavefunctions that cannot be written in a form similar to the Laughlin ansatz, implying that moiré flat bands are fundamentally different from LLs and this analogy has fundamental limits.