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

TL;DR

This paper uncovers an intrinsic mechanism for the anomalous Hall effect in nonsymmorphic chiral superconductors, specifically applied to UPt3, linking complex band structure and symmetry to observable optical phenomena.

Contribution

It introduces a novel intrinsic mechanism for the anomalous Hall effect in nonsymmorphic chiral superconductors, emphasizing the role of multi-band order parameters and complex inter-sublattice hopping.

Findings

Calculated the ac Hall conductivity for UPt3

Estimated Kerr rotation angle from optical data

Compared theoretical results with experimental measurements

Abstract

We identify an intrinsic mechanism of the anomalous Hall effect for non-symmorphic chiral superconductors. This mechanism relies on both a nontrivial multi-band chiral superconducting order parameter, which is a mixture of pairings of even and odd angular momentum channels, and a complex normal state inter-sublattice 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 $\mathrm{UPt_3}$ 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 $\mathrm{UPt_3}$ [E. R. Schemm \textit{et al.}, Science \textbf{345},190(2014)].