The paper claims the quantum geometric tensor equals the position variance of a Bloch state and uses that to predict metric-driven screening of superconductivity, but the central identity fails for delocalized Bloch states.
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Normal state quantum geometry, non-locality and superconductivity
The paper claims the quantum geometric tensor equals the position variance of a Bloch state and uses that to predict metric-driven screening of superconductivity, but the central identity fails for delocalized Bloch states.