Twist-Induced Quantum Geometry Reconfiguration in Moiré Flat Bands
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Abstract: Moiré superlattices have emerged as a powerful platform for engineering flat bands with nontrivial topology and quantum geometry. While much progress has been made in understanding systems where moiré bands inherit the characteristics of the associated monolayers, significant open questions remain when more intricate microscopic orderings or symmetry breakings are involved. Here we explore how moiré stacking and interlayer coupling can lead to restructured quantum geometry, especially in the presence of symmetry-breaking orders in the parent layers. We discuss scenarios in which the interplay between interlayer hybridization, symmetry breaking, and twist angle significantly modifies the quantum-geometric properties of the resulting flat bands. Our study establishes a broader design space for moiré materials toward engineering their unconventional responses. We conclude by commenting on potential materials platforms for the experimental realization of these novel effects.