Stationary Josephson effect in a short multi-terminal junction

Abstract

We study the dc Josephson effect and the density of states in a multiterminal structure of cross-type geometry which consists of four superconducting electrodes connected by one-dimensional normal or ferromagnetic wires. We find that the Josephson current $I_{Jz}$ has a sinusoidal dependence on the phase difference ${\varphi }_z$ between the superconductors in the horizontal wire with a critical current $I_c$ that can be varied by changing the phase difference ${\varphi }_y$ between the superconductors in the vertical wire. The period of the function $I_{Jz}({\varphi }_z)$ depends on the ratio of the interface resistances $R_{Sn,z}/R_{Sn,y}$ being equal to $2\pi$ if this ratio is small and equal to $4\pi$ in the opposite limit. We also calculate the amplitudes of both the singlet and the odd-frequency triplet component in the system under consideration. The triplet component amplitude may be significantly larger than the amplitude of the singlet component.

12 pages, 8 figures

References in corpus (40)

• Unpaired Majorana fermions in quantum wires
• Quantum state engineering with Josephson-junction devices
• Proximity effects in superconductor-ferromagnet heterostructures
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Observation of spin-triplet superconductivity in Co-based Josephson Junctions
• Quasiclassical Green's function approach to mesoscopic superconductivity
• Long range triplet Josephson effect through a ferromagnetic trilayer
• Enhancement of the Josephson current by an exchange field in superconductor-ferromagnet structures
• Critical Current Oscillations in Strong Ferromagnetic Pi-Junctions
• Fully developed triplet proximity effect
• Oscillations of the superconducting critical current in Nb-Cu-Ni-Cu-Nb junctions
• Superconducting phase coherent electron transport in proximity conical ferromagnets
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• 0-pi Josephson tunnel junctions with ferromagnetic barrier
• Dynamical detection of Majorana fermions in current-biased nanowires
• Optimization of spin-triplet supercurrent in ferromagnetic Josephson junctions
• Spontaneous supercurrent induced by ferromagnetic pi-junctions
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Manifestation of triplet superconductivity in superconductor-ferromagnet structures
• Josephson tunnel junctions with strong ferromagnetic interlayer
• Energy Resolved Supercurrent between two superconductors
• Supercurrent in Long SFFS Junctions with Antiparallel Domain Configuration
• Odd spin-triplet superconductivity in a multilayered superconductor-ferromagnet Josephson junction
• Inhomogeneous magnetism induced in a superconductor at superconductor-ferromagnet interface
• Minigap in superconductor-ferromagnet junctions with inhomogeneous magnetization
• Long-range spin-triplet proximity effect in Josephson junctions with multilayered ferromagnets
• Resonant proximity effect in normal metal / diffusive ferromagnet / superconductor junctions
• Resonant peak in the density of states in the normal metal / diffusive ferromagnet / superconductor junctions
• Long-range odd triplet superconductivity in SF structures with Neel walls
• Josephson effects in a superconductor-normal metal mesoscopic structure with a dangling superconducting arm
• Nonsinusoidal current-phase relation in SFS Josephson junctions
• Mesoscopic multiterminal Josephson structures: I. Effects of nonlocal weak coupling
• Suppression and enhancement of the critical current in multiterminal S/N/S mesoscopic structures
• Multi-Terminal Superconducting Phase Qubit
• Nonequilibrium Josephson effect in short-arm diffusive SNS interferometers
• Superconducting Phase Transistor in Diffusive Four-terminal Ferromagnetic Josephson Junctions
• Josephson tunnel junctions with ferromagnetic $\Fe_{0.75}\Co_{0.25}$ barriers
• Nonlinear Resonance of Superconductor/Normal Metal Structures to Microwaves

Cited by in corpus (8)

• Supercurrent Flow in Multi-Terminal Graphene Josephson Junctions
• Topological Andreev bands in three-terminal Josephson junctions
• Classification of engineered topological superconductors
• Coherent transport properties of a three-terminal hybrid superconducting interferometer
• Engineering the Floquet spectrum of superconducting multiterminal quantum dots
• Josephson effect in multi-terminal superconductor-ferromagnet junctions coupled via triplet components
• Chirality and spin transformation of triplet Cooper pairs upon interaction with singlet condensate
• Tuning the the fundamental periodicity of the current-phase relation in multiterminal diffusive Josephson junctions