Anomalous Hall effect in superconductors with spin-orbit interaction

P. D. Sacramento; M. A. N. Araújo; V. R. Vieira; V. K. Dugaev; J. Barnaś

doi:10.1103/PhysRevB.85.014518

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Anomalous Hall effect in superconductors with spin-orbit interaction

P. D. Sacramento, M. A. N. Araújo, V. R. Vieira, V. K. Dugaev, J. Barnaś

DOI 10.1103/PhysRevB.85.014518 · Physical Review B

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Abstract

We calculate the anomalous Hall conductance of superconductors with spin-orbit (SO) interaction and with either uniform or local magnetization. In the first case, we consider a uniform ferromagnetic ordering in a spin-triplet superconductor, whereas, in the second case, we consider a conventional s-wave spin-singlet superconductor with a magnetic impurity (or a diluted set of magnetic impurities). In the latter case, we show that the anomalous Hall conductance can be used to track the quantum-phase transition that occurs when the spin coupling between the impurity and the electronic spin density exceeds a certain critical value. In both cases, we find that, for large SO coupling, the superconductivity is destroyed and the Hall conductance oscillates strongly.