Quantum geometry (condensed matter)

Quantum geometry in condensed matter physics refers to gauge-invariant geometric properties of quantum states as functions of external parameters—most commonly the crystal momentum of Bloch-band eigenstates in a periodic solid. It provides a geometric language for how a band wavefunction changes across parameter space and how its phase twists under parallel transport, with consequences for semiclassical transport, topological band invariants, localization, and superconductivity in multiband and flat-band systems.

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