Three-dimensional bosonic transport-noise theory

Develop a three-dimensional bosonic transport-noise theory that accounts for the nonempty co-exact sector of the Berry-curvature two-form and its monopole-source contributions.

Background

The paper develops its noise theory in two dimensions, where the Berry curvature has harmonic and exact Hodge sectors but no co-exact sector. In three dimensions, the co-exact sector is present and carries monopole sources associated with Weyl points. Although the paper presents a three-dimensional Weyl-magnon prototype and verifies that all three sectors contribute to the thermal Hall response, it does not develop the corresponding fluctuation or transport-noise theory.

References

The noise question in three dimensions is open and is the natural continuation of this work.

— Topology is not silent in the transport noise of multiband bosons  (2608.18527 - Wang et al., 19 Aug 2026) in Section 3, “Three dimensions” (also reiterated in the Discussion)

Whether the extrinsic contributions contaminate the extraction is a question we leave open, with two remarks that bound it.

— Topology is not silent in the transport noise of multiband bosons  (2608.18527 - Wang et al., 19 Aug 2026) in Section 14, “Discussion”