2000/04/25 by Patrik Henelius, Henelius, Patrik, A. V. Balatsky +3
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.cond-mat/0004413
7 pages
arxiv created 2000/04/25 · openalex publication_date 2000/04/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the effects of magnetic impurities on d-wave superconductors. We calculate the electron mediated RKKY interaction between the impurity spins in a d-wave superconductor and find that it decays as r-3 at large distances. We argue that this interaction leads to the formation of a spin glass at low temperature T ≪ Tc. It was previously shown that a local complex Δ1 ∼ dxy order parameter is induced around each impurity spin. We consider the pair tunneling resulting in the Josephson interaction between different patches of induced dxy order parameter. Due to the local coupling between impurity spins and the superconducting order parameter the Josephson coupling favors a ferromagnetic phase at low temperatures. The competition between the Josephson coupling and the RKKY interaction gives rise to an interesting phase diagram. At low impurity concentrations we find an unusual supercondcting phase glass, where the impurity spins Sz and dxy component are disordered and yet the product of these two develops a true long range order . This phase has no analog in purely magnetic spin glasses and arises as a result of the direct coupling of the impurity spin to the phase of Δ1. At high impurity concentrations it is possible that a ferromagnetic phase will form.