Competitive 0 and π states in S/F multilayers: multimode approach

Abstract

We have investigated the critical temperature behavior in periodic superconductor/ ferromagnet (S/F) multilayers as a function of the ferromagnetic layer thickness $d_f$ and the interface transparency. The critical temperature $T_c(d_f)$ exhibits a damped oscillatory behavior in these systems due to an exchange field in the ferromagnetic material. In this work we have performed $T_c$ calculations using the self-consistent multimode approach, which is considered to be exact solving method. Using this approach we have derived the conditions of 0 or $\pi$ state realization in periodic S/F multilayers. Moreover, we have presented the comparison between the single-mode and multimode approaches and established the limits of applicability of the single-mode approximation, frequently used by experimentalists.

References in corpus (57)

• 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
• Superconducting Spintronics
• Quasiclassical Green's function approach to mesoscopic superconductivity
• Implementation of superconductor-ferromagnet-superconductor pi-shifters in superconducting digital and quantum circuits
• Hybrid superconducting-magnetic memory device using competing order parameters
• Controllable 0-pi Josephson junctions containing a ferromagnetic spin valve
• Oscillations of the superconducting critical current in Nb-Cu-Ni-Cu-Nb junctions
• Nonmonotonic critical temperature in superconductor/ferromagnet bilayers
• Beyond Moore's technologies: operation principles of a superconductor alternative
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• Superconducting triplet spin valve
• Singlet-triplet conversion and the long-range proximity effect in superconductor-ferromagnet structures with generic spin dependent fields
• Ferromagnetic Josephson switching device with high characteristic voltage
• High quality ferromagnetic 0 and pi Josephson tunnel junctions
• Spontaneous supercurrent induced by ferromagnetic pi-junctions
• Re-entrant superconductivity in Nb/Cu(1-x)Ni(x) bilayers
• Josephson tunnel junctions with strong ferromagnetic interlayer
• Angular Dependence of the Superconducting Transition Temperature in Ferromagnet-Superconductor-Ferromagnet Trilayers
• Half-Metallic Superconducting Triplet Spin Valve
• Adiabatic Superconducting Artificial Neural Network: Basic Cells
• Characteristics of strong ferromagnetic Josephson junctions with epitaxial barriers
• Zero Energy Peak and Triplet Correlations in Nanoscale SFF Spin-Valves
• Layered ferromagnet-superconductor structures: the $\pi$ state and proximity effects
• Properties of tunnel Josephson junctions with a ferromagnetic interlayer
• Depairing currents in the superconductor/ferromagnet proximity system Nb/Fe
• Reentrant superconductivity in superconductor/ferromagnetic-alloy bilayers
• Magnetization-control and transfer of spin-polarized Cooper pairs into a half-metal manganite
• Magnetic interference patterns in 0-Pi SIFS Josephson junctions: effects of asymmetry between 0 and Pi regions
• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Half-Metallic Superconducting Triplet Spin MultiValves
• Josephson Currents and Spin Transfer Torques in Ballistic SFSFS Nanojunctions
• Proximity effects and triplet correlations in Ferromagnet/Ferromagnet/Superconductor nanostructures
• Current-phase relations in SIsFS junctions in the vicinity of 0-$\pi$ transition
• Efficient electron refrigeration using superconductor/spin-filter devices
• Spin Controlled Coexistence of 0 and π States in SFSFS Josephson Junctions
• Superconducting Phase Domains for Memory Applications
• Boundary conditions for quasiclassical equations in the theory of superconductivity
• Andreev current enhancement and subgap conductance of superconducting hybrid structures in the presence of a small spin-splitting field
• Electron cooling in diffusive normal metal - superconductor tunnel junctions with a spin-valve ferromagnetic interlayer
• Properties of ferromagnetic Josephson junctions for memory applications
• Magnetic and Superconducting Phase Diagram of Nb/Gd/Nb trilayers
• Thermodynamics and Phase Diagrams of layered superconductor/ferromagnet nanostructures
• Protected 0-pi states in SIsFS junctions for Josephson memory and logic
• Hierarchy of critical temperatures in four-layered ferromagnet/superconductor nanostructures and control devices
• Current-voltage characteristics of tunnel Josephson junctions with a ferromagnetic interlayer
• Nonequilibrium effects in tunnel Josephson junctions
• Subgap current in superconducting tunnel junctions with diffusive electrodes
• Induced Energy Gap in Finite-Sized Superconductor/Ferromagnet Hybrids
• Relaxation of Nonequilibrium Quasiparticles in Mesoscopic Size Superconductors
• Robustness of the $0-\pi$ transition against compositional and structural ageing in S/F/S heterostructures
• First order $0$ - $\pi$ phase transitions in superconductor/ferromagnet/superconductor trilayers
• Interference Effects of the Superconducting Pairing Wave Function due to the Fulde-Ferrell-Larkin-Ovchinnikov like State in Ferromagnet/Superconductor Bilayers
• First order phase transitions in Ferromagnet/Superconductor layered structures
• Cascading Proximity Effects in Rotating Magnetizations
• Quantum kinetic equations and anomalous non-equilibrium Cooper pair spin accumulation in Rashba wires with Zeeman splitting

Cited by in corpus (7)

• Hybrid helical state and superconducting diode effect in S/F/TI heterostructures
• Anomalous current-voltage characteristics of SFIFS Josephson junctions with weak ferromagnetic interlayers
• Proximity effect in [Nb(1.5nm)/Fe(x)]${}_{10}$/Nb(50nm) superconducting/ferromagnet heterostructures
• Reentrant superconductivity in proximity to a topological insulator
• Supergap and subgap enhanced currents in asymmetric {S_1FS_2} Josephson junctions
• The physics of superconductor-ferromagnet hybrid structures
• Magnetic field-controlled 0-$\pi$ transitions and their experimental signatures in superconductor-ferromagnet-superconductor junctions