Mesoscopic supercurrent fluctuations in diffusive magnetic Josephson junctions

Abstract

We study the supercurrent in quasi-one-dimensional Josephson junctions with a weak link involving magnetism, either via magnetic impurities or via ferromagnetism. In the case of weak links longer than {\color{black}the magnetic pair-breaking} length, the Josephson effect is dominated by mesoscopic fluctuations. We establish the supercurrent-phase dependence $I(\phi )$ along with statistics of its sample-dependent properties in junctions with transparent contacts between leads and link. High transparency gives rise to the inverse proximity effect, while the direct proximity effect is suppressed by magnetism in the link. We find that all harmonics are present in $I(\phi )$. Each harmonic has its own sample-dependent amplitude and phase shift with no correlation between different harmonics. Depending on the type of magnetic weak link, the system can realize a ${\phi }_0$ or $\phi$ junction in the fluctuational regime. Full supercurrent statistics is obtained at arbitrary relation between temperature, superconducting gap, and the Thouless energy of the weak link.

arXiv comment17 pages, 5 figures; v2 corresponds to journal version. Compared to v1, the discussion has been reworked and extended, the bibliography has been extended. $\phi$- and ${\phi }_0$-junction physics is discussed in more detail. Minor changes and corrections throughout the paper

References in corpus (31)

• Proximity effects in superconductor-ferromagnet heterostructures
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Fully developed triplet proximity effect
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Josephson junctions with negative second harmonic in the current-phase relation: properties of novel varphi-junctions
• Periodic alternating $0,\pi$-junction structures as realization of $\varphi$-Josephson junctions
• Topological Josephson ${\varphi }_0$-junctions
• Measurement of the current-phase relation of superconducting atomic contacts
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Odd-frequency Pairs and Josephson Current through a Strong Ferromagnet
• Functional Determinants in Quantum Field Theory
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Anomalous Josephson current through a ferromagnetic trilayer junction
• Anomalous current in diffusive ferromagnetic Josephson junctions
• Spin Supercurrent, Magnetization Dynamics, and Phi-State in Spin-Textured Josephson Junctions
• Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
• Triplet proximity effect in superconducting heterostructures with a half-metallic layer
• Double path interference and magnetic oscillations in Cooper pair transport through a single nanowire
• Nematic versus ferromagnetic spin filtering of triplet Cooper pairs in superconducting spintronics
• Mesoscopic effects in superconductor-ferromagnet-superconductor junctions
• Mesoscopic fluctuations of the supercurrent in diffusive Josephson junctions
• Giant Mesoscopic Fluctuations and Long Range Superconducting Correlations in Superconductor--Ferromagnet structures
• Long range statistical fluctuations of the crossed Josephson current
• Cooper pair splitting in diffusive magnetic SQUIDs