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 ${\mathrm{UPt}}_3$ 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 ${\mathrm{UPt}}_3$ [Schemm et al., Science 345, 190 (2014)].

中文翻译：

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非对称手性超导体的内在交流异常霍尔效应及其在UPt3上的应用

我们确定了非对称手性超导体异常霍尔效应的内在机理。该机制既依赖于非平凡的多带手性超导阶数参数，该参数是偶数和奇数角动量通道对的混合，也依赖于复杂的正常状态子晶格间跳变，这两者都是底层晶格的非对称群对称性的结果。 。我们将这种机制应用于重费米子超导体的推定手性超导阶段${\mathrm{UPt}}_3$并在简化的两波段模型中计算异常的交流霍尔电导率。根据交流霍尔电导率和光学数据，我们估计极性克尔旋转角，并将其与测量的结果进行比较${\mathrm{UPt}}_3$[Schemm 等。，Science 345，190（2014） ]。