期刊
PHYSICAL REVIEW B
卷 103, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.094503
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资金
- Marsden Fund Council
By utilizing the Kubo formalism, we derived an analytical expression for the high-frequency ac Hall conductivity, involving two distinct gauge-invariant time-reversal-odd bilinear functions related to the pairing potential and its Hermitian conjugate. The existence of at least one of these functions typically implies a nonzero ac Hall conductivity. These functions help clarify the roles of intra- and interband pairing, and provide a simple criterion for a superconducting state to exhibit the anomalous Hall effect.
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 of two different chiral p-wave pairing states in strontium ruthenate and a chiral d-wave pairing state on the honeycomb lattice.
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