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

Zhiqiang Wang, John Berlinsky, Gertrud Zwicknagl, Catherine Kallin

DOI 10.1103/PhysRevB.96.174511 · Physical Review B

T1

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Abstract

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 et al., Science 345, 190 (2014)].

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
UPt3

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0.55Pressure not reportedonset
UPt3

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

0.5Pressure not reportedmidpoint

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