Motivated by a recent experiment [R. S. Keizer, et. al., Nature 439, 825 (2006)], we study the Josephson effect in superconductor/diffusive half metal/superconductor junctions. The Josephson π-state is more stable than the 0-junction when the spin-flip scattering at the junction interface opens the Josephson channel of the odd-frequency Cooper pairs.
Abstract
The explosive development of quantum magnonics is explained by its potential of use in quantum computers, processing information and the formation of hybrid quantum systems. The processes of spatial correlation of quantum systems are fundamental and lead to such phenomena as the Josephson effect and superconductivity. In particular, they determine the phenomenon of the magnon superfluidity and magnon Bose condensation which were first discovered in antiferromagnetic superfluid 3He. In this article, we consider the features of magnon Bose condensation in yttrium iron garnet film. We simulate the processes of magnon BEC coherency and magnon tunneling through the gap.
Abstract
We present an anomalous Josephson effect in a TI-based Josephson junction with a ferromagnetic insulator (FI) trilayer which has noncoplanar magnetizations. It is shown that there exist equal spin-singlet and -triplet correlations due to the magnetism-tuning chiral Dirac energy band structure combined with the spin precession and selective equal spin Andreev reflection by chiral Majorana modes (CMMs). The consequent anomalous Josephson supercurrent is exhibited, in which a 0-π or similar 0 - π state transition through phase shift is induced only by exchange field strengths of the first FI region, while the ϕ0 supercurrent and the maximum one gradually drop with the increase of exchange field strengths of the second and third FI regions without relative state transitions. The much different features are found by varying the lengths of trilayer. The Andreev bound states without hybridization for the CMM administrate these features, which could be used to probe and confirm the zero energy CMM. In addition, the corresponding free energies are presented and discussed.