Probing Magnetic and Triplet Correlations in Spin-Split Superconductors with Magnetic Impurities

التفاصيل البيبلوغرافية
العنوان: Probing Magnetic and Triplet Correlations in Spin-Split Superconductors with Magnetic Impurities
المؤلفون: Huang, Chen-How, Skurativska, Anastasiia, Bergeret, F. Sebastian, Cazalilla, Miguel A.
المصدر: Phys.Rev.Research.6.033022 (2024)
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Superconductivity
الوصف: A superconductor (SC) in proximity to a ferromagnetic insulator (FMI) is predicted to exhibit mixed singlet and triplet pair correlations. The magnetic proximity effect of FMI spin-splits the energy of Bogoliubov excitations and leads to a spin polarization at the surface for superconducting films thinner than the superconducting coherence length. In this work, we study manifestations of these phenomena in the properties of a magnetic impurity coupled via Kondo coupling to this FMI/SC system. Using the numerical renormalization group (NRG) method, we compute the properties of the ground state and low-lying excited states of a model that incorporates the Kondo interaction and a Ruderman-Kittel-Kasuya-Yosida (RKKY)-like interaction with the surface spin polarization. Our main finding is an energy splitting of the lowest even fermion-parity states caused by the proximity to the FMI. As the Kondo coupling increases, the splitting grows and saturates to a universal value equal to twice the exchange field of the FMI. We introduce a two-site model that can be solved analytically and provides a qualitative understanding of this and other NRG results. In addition, using perturbation theory we demonstrate that the mechanism behind the splitting involves the RKKY field and the triplet correlations of the spin-split superconductor. A scaling analysis combined with NRG shows that the splitting can be written as a single-parameter scaling function of the ratio of the Kondo temperature and the superconducting gap, which is also numerically obtained.
Comment: 18 pages, 6 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevResearch.6.033022
URL الوصول: http://arxiv.org/abs/2402.07184
رقم الأكسشن: edsarx.2402.07184
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevResearch.6.033022