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We identify an intrinsic mechanism of the anomalous Hall effect fornon-symmorphic chiral superconductors. This mechanism relies on both anontrivial multi-band chiral superconducting order parameter, which is amixture of pairings of even and odd angular momentum channels, and a complexnormal state inter-sublattice hopping, both of which are consequences of thenonsymmorphic group symmetry of the underlying lattice. We apply this mechanismto the putative chiral superconducting phase of the heavy-fermionsuperconductor $\mathrm{UPt_3}$ and calculate the anomalous ac Hallconductivity in a simplified two-band model. From the ac Hall conductivity andoptical data we estimate the polar Kerr rotation angle and compare it to themeasured results for $\mathrm{UPt_3}$ [E. R. Schemm \textit{et al.}, Science\textbf{345},190(2014)].

Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UPt_3}$