Evaluate the complete interparticle skew-scattering contribution

Calculate the complete finite-temperature interparticle skew-scattering contribution to anomalous Hall transport in the single-species massive Dirac model, including crossed and higher-order processes and, where relevant, long-range interactions.

Background

The paper discusses interparticle skew scattering as a possible anomalous transport mechanism. For the contact interaction, reciprocal ladder amplitudes and certain leading on-shell crossed contributions cancel, but these restricted cancellations do not rule out finite-temperature effects beyond the orders and kinematic limits analyzed.

A complete treatment is consequently left unresolved, particularly for crossed or higher-order contributions and for interactions beyond the short-range contact model.

References

These restricted cancellations do not establish the absence of every finite-temperature crossed or higher-order contribution. A full treatment of interparticle skew scattering, including long-range interactions, is left for future work.

— Hydrodynamic Anomalous Hall Effect in a Two-Dimensional Dirac Fluid  (2610.10733 - Levchenko et al., 7 Oct 2026) in Summary, Conclusions, and Outlook (Section 6)