Restricted in-plane quantum weight of black phosphorus is nearly isotropic (Kzz/Kxx ≈ 0.972) and rigid under orbital Hartree corrections, making low-loss EELS spectral moments a practical bulk probe of Wannier quantum geometry.
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The Bott metric, derived from the plaquette operator, unifies topology and quantum geometry by converging to the trace of the integrated quantum metric in the thermodynamic limit for disordered and amorphous systems.
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Quantum weight and low-loss EELS signatures of Wannier quantum geometry in black phosphorus
Restricted in-plane quantum weight of black phosphorus is nearly isotropic (Kzz/Kxx ≈ 0.972) and rigid under orbital Hartree corrections, making low-loss EELS spectral moments a practical bulk probe of Wannier quantum geometry.
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The Bott Metric: A Real-Space Bridge Between Topology and Quantum Metric
The Bott metric, derived from the plaquette operator, unifies topology and quantum geometry by converging to the trace of the integrated quantum metric in the thermodynamic limit for disordered and amorphous systems.