Exact expression for the Berry connection in the projection gauge
Summary
arXiv:2602.18973v2 Announce Type: replace-cross Abstract: The Berry connection encodes the momentum-space geometry of occupied Bloch states in gapped insulators and plays a central role in topological materials. While gauge-invariant quantities can be evaluated from overlap matrices between neighboring $k$ points, accessing the Berry connection itself as a smooth field requires specifying a continuous gauge over the Brillouin zone. Wannier-based workflows achieve this through projection onto localized orbitals, enabling stable evaluation of geometric quantities and response functions.
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Key Facts
- SectorAerospace & Space
- Market—
- ImpactLow (42/100)
- SignalFunding Research