Hodge-de Rham decomposition isolates quantized monopole flux from a smooth proxy 1-form potential for Berry curvature, enabling exact derivations for linear and nonlinear anomalous transport.
Quantized Hall Conductance in a Two- Dimensional Periodic Potential,
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Hodge Topology of Semiclassical Transport: A Coordinate-Free Geometric Framework for the Anomalous Hall Effect and Non-Linear Berry Dipole
Hodge-de Rham decomposition isolates quantized monopole flux from a smooth proxy 1-form potential for Berry curvature, enabling exact derivations for linear and nonlinear anomalous transport.