论文标题
两种频段手性超导体的异常霍尔效应的起源
Origin of the anomalous Hall effect in two-band chiral superconductors
论文作者
论文摘要
我们认为在干净的两波段手性超导体的通用模型中，我们考虑了异常霍尔效应的起源。在Kubo形式主义中，我们得出了有效接近临界温度的高频交流电导率的分析表达。该表达涉及两个不同的量规不变的时间反转双线性（Trob）函数，涉及配对势及其Hermitian结合物。我们认为，至少其中一个trob的存在通常意味着非零的交流电导率。这些小动物使我们能够阐明内部和带间配对的作用，并为超导状态提供直接的标准，以表现出异常的大厅效应。我们用肤色牙酸盐的手性$ p $波配对状态和手性$ d $ - $ d $ - 波配对状态的模型计算简短地说明了我们的结果。
We consider the origin of the anomalous Hall effect in a general model of a clean two-band chiral superconductor. Within the Kubo formalism we derive an analytic expression for the high-frequency ac Hall conductivity valid close to the critical temperature. This expression involves two distinct gauge-invariant time-reversal-odd bilinear (TROB) functions involving the pairing potential and its Hermitian conjugate. We argue that the existence of at least one of these TROBs generically implies a nonzero ac Hall conductivity. The TROBs allow us to clarify the roles of intra- and interband pairing, and provide a straightforward criterion for a superconducting state to exhibit the anomalous Hall effect. We briefly exemplify our results with model calculations for a chiral $p$-wave pairing state in strontium ruthenate and a chiral $d$-wave pairing state on the honeycomb lattice.
