Orbital magnetization from parallel transport of Bloch states

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ID: 338288
2026
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Abstract
Abstract Quantum geometric formulations of linear and nonlinear responses can be constructed from a single building block in the form of a gauge-invariant interband transition operator. Here, we identify a second building block for quantum geometry: a band-resolved adiabatic connection operator that captures the noncommutativity between Bloch projectors and their momentum derivatives. The band-resolved adiabatic connection operator, first introduced in the theory of adiabatic driving, serves as a generalized angular momentum within the state manifold of single bands, and we employ it to reformulate expressions for the band-resolved orbital magnetic moment. This form provides a complementary geometric interpretation alongside the multiband separation between energetic- and quantum-state properties by the two-state Berry curvature. Our formalism allows us to present formulas valid for both nondegenerate and degenerate bands, thereby removing the limitations of the common Bloch-state formula. We illustrate our theory by calculating a large orbital magnetization emerging without spin-orbit coupling in a spin-compensated, noncoplanar anomalous Hall magnet with degenerate bands.
Reference Key
openalex_W4417288909 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Johannes Mitscherling, Jan Priessnitz, Libor Šmejkal
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Journal national science review
Year 2026
DOI
10.1093/nsr/nwag692
URL
https://doi.org/10.1093/nsr/nwag692
Keywords Keywords not found

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