Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to UPt3

We identify an intrinsic mechanism of the anomalous Hall effect for nonsymmorphic chiral superconductors. This mechanism relies on both a nontrivial multiband chiral superconducting order parameter, which is a mixture of pairings of even and odd angular momentum channels, and a complex normal-state intersublattice hopping, both of which are consequences of the nonsymmorphic group symmetry of the underlying lattice. We apply this mechanism to the putative chiral superconducting phase of the heavy-fermion superconductor UPt3 and calculate the anomalous ac Hall conductivity in a simplified two-band model. From the ac Hall conductivity and optical data we estimate the polar Kerr rotation angle and compare it to the measured results for UPt3 [Schemm , Science 345, 190 (2014)SCIEAS0036-807510.1126/science.1248552].