Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$

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 $\mathrm{UP}{\mathrm{t}}_3$ 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 $\mathrm{UP}{\mathrm{t}}_3$ [E. R. Schemm \textit{et al.}, Science \textbf{345},190(2014)].

17 pages including appendices,9 figures, replaced with the version accepted by Phys. Rev. B with minor reference corrections

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• Topologically stable gapless phases in nonsymmorphic superconductors
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• The Fermi surface and f-valence electron count of UPt3
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Orbital momentum of chiral superfluids and spectral asymmetry of edge states
• Nodal lines and nodal loops in non-symmorphic odd-parity superconductors

Cited by in corpus (14)

• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Origin of the anomalous Hall effect in two-band chiral superconductors
• Conventional type-II superconductivity in locally non-centrosymmetric LaRh${}_2$As${}_2$ single crystals
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Topological Anomalous Skin Effect in Weyl Superconductors
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• Anomalous Hall effect in single-band chiral superconductors from impurity superlattices
• Direct detection of odd-frequency superconductivity via time- and angle-resolved photoelectron fluctuation spectroscopy
• Modified Martin-Puplett interferometer for magneto-optical Kerr effect measurements at sub-THz frequencies
• AC anomalous Hall effect in topological insulator Josephson junctions
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• Pairing-induced Momentum-space Magnetism and Its Implication In Optical Anomalous Hall Effect In Chiral Superconductors