Flat-band delocalization in a disordered 2D multi-flatband lattice is equivalent to classical percolation of quantum metric puddles, producing finite geometric conductivity that turns metallic with spin-orbit coupling.
Localization of electronic wave func- tions due to local topology
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Percolation from Quantum Metric in Flat-Band Delocalization
Flat-band delocalization in a disordered 2D multi-flatband lattice is equivalent to classical percolation of quantum metric puddles, producing finite geometric conductivity that turns metallic with spin-orbit coupling.