Origin of the anomalous Hall effect in two-band chiral superconductors

  title={Origin of the anomalous Hall effect in two-band chiral superconductors},
  author={Mathew D. E. Denys and P. M. R. Brydon},
  journal={Physical Review B},
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… 
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