Proximity effect in superconducting heterostructures with strong spin-orbit coupling and spin splitting
Lu, Y., & Heikkilä, T. T. (2019). Proximity effect in superconducting heterostructures with strong spin-orbit coupling and spin splitting. Physical Review B, 100(10), Article 104514. https://doi.org/10.1103/PhysRevB.100.104514
Published inPhysical Review B
© 2019 American Physical Society
It has been shown that singlet Cooper pairs can be converted into triplet ones and diffuse into a ferromagnet over a long distance in a phenomenon known as the long-range proximity effect (LRPE). This happens in materials with inhomogeneous magnetism or spin-orbit coupling (SOC). Most of the previous studies focus on the cases with small SOC and exchange field. However, the physics was not clear when SOC and exchange field strength are both much greater than the disorder strength. In this work, we consider a two-dimensional system with a large Rashba-type SOC and exchange field in the case where only one band is partially occupied. We develop a generalized quasiclassical theory by projecting the Green function onto the partially occupied band (POB). We find that when the SOC energy scale is comparable with the exchange field, there is no LRPE. The reason is that the nonmagnetic impurities together with the large SOC and exchange field can effectively generate spin-flip scattering, which suppresses the proximity effect. We also show that when increasing either SOC or exchange field, the decay length of superconducting correlations can be significantly increased due to an approximately restored time reversal symmetry or spin rotation symmetry around the z (out-of-plane) axis. ...
PublisherAmerican Physical Society
Publication in research information system
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF
Additional information about fundingThis work is supported by the Academy of Finland project HYNEQ (Project No. 317118).
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