Critical supercurrent and ${\varphi }_0$ state for probing a persistent spin helix

Abstract

We theoretically study the profile of a supercurrent in two-dimensional Josephson junctions with Rashba-Dresselhaus spin-orbit interaction (RDSOI) in the presence of a Zeeman field. Through investigating self-biased supercurrent (so called ${\phi }_0$-Josephson state), we obtain explicit expressions for the functionality of the ${\phi }_0$ state with respect to RDSOI parameters ($\alpha ,\beta$) and in-plane Zeeman field components ($h_x,h_y$). Our findings reveal that, when the chemical potential ($\mu$) is high enough compared to the energy gap ($\Delta$) in superconducting electrodes, i.e., $\mu \gg \Delta$, RSOI and DSOI with equal strengths ($|\alpha |=|\beta |$) cause vanishing ${\phi }_0$ state independent of magnetization and the type of RDSOI. A Zeeman field with unequal components, i.e., $|h_x|\ne |h_y|$, however, can counteract and nullify the destructive impact of equal-strength RDSOIs (for one type only), where $\mu \sim \Delta$, although $|h_x|=|h_y|$ can still eliminate the ${\phi }_0$ state. Remarkably, in the $\mu \sim \Delta$ limit, the ${\phi }_0$ state is proportional to the multiplication of both components of an in-plane Zeeman field, i.e., $h_x{h}_y$, which is absent in the $\mu \gg \Delta$ limit. Furthermore, our results of critical supercurrents demonstrate that the persistent spin helices can be revealed in a high enough chemical potential regime $\mu \gg \Delta$, while an opposite regime, i.e., $\mu \sim \Delta$, introduces an adverse effect. In the ballistic regime, the "maximum" of the critical supercurrent occurs at $|\alpha |=|\beta |$ and the Zeeman field can boost this feature. The presence of disorder and nonmagnetic impurities change this picture drastically so the "minimum" of the critical supercurrent occurs at and around the symmetry lines $|\alpha |=|\beta |$.

arXiv comment17 pages, 11 figures

References in corpus (63)

• Spintronics: Fundamentals and applications
• 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
• Emergence of the persistent spin helix in semiconductor quantum wells
• Observation of spin-triplet superconductivity in Co-based Josephson Junctions
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Direct mapping of the formation of a persistent spin helix: Supplementary information
• Quantum Spin Fluctuations as a Source of Long-Range Proximity Effects in Diffusive Ferromagnet-Superconductor Structures
• Spin-orbit coupling as a source of long-range triplet proximity effect in superconductor-ferromagnet hybrid structures
• Evidence for Triplet Superconductivity in a Superconductor-Ferromagnet Spin Valve
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Superconducting triplet spin valve
• Persistent Spin Textures in Semiconductor Nanostructures
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Triplet proximity effect in FSF trilayers
• Odd Triplet Pairing in clean Superconductor/Ferromagnet heterostructures
• Josephson effect due to the long-range odd-frequency triplet superconductivity in SFS junctions with Neel domain walls
• Observation of the Triplet Spin-Valve Effect in a Superconductor-Ferromagnet Heterostructure
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Angular Dependence of the Superconducting Transition Temperature in Ferromagnet-Superconductor-Ferromagnet Trilayers
• Josephson Junction through a Disordered Topological Insulator with Helical Magnetization
• Spin-polarized transport and Andreev reflection in semiconductor/superconductor hybrid structures
• Induced Triplet Pairing in clean s-wave Superconductor/Ferromagnet layered structures
• Stretchable persistent spin helices in GaAs quantum wells
• Rashba-like spin splitting along three momentum directions in trigonal layered PtBi2
• Controlled suppression of superconductivity by the generation of polarized Cooper pairs in spin valve structures
• Half-Metallic Superconducting Triplet Spin Valve
• Cubic Dresselhaus Spin-Orbit Coupling in 2D Electron Quantum Dots
• Zero Energy Peak and Triplet Correlations in Nanoscale SFF Spin-Valves
• Remotely induced magnetism in a normal metal using a superconducting spin-valve
• Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
• Spin-controlled superconductivity and tunable triplet correlations in graphene nanostructures
• Tunable Anomalous Andreev Reflection and Triplet Pairings in Spin Orbit Coupled Graphene
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• Properties of tunnel Josephson junctions with a ferromagnetic interlayer
• Magnetization-control and transfer of spin-polarized Cooper pairs into a half-metal manganite
• Supercurrent in ferromagnetic Josephson junctions with heavy metal interlayers
• Strain-engineered Majorana Zero Energy Modes and ϕ0 Josephson State in Black Phosphorus
• Persistent Skyrmion Lattice of Noninteracting Electrons with Spin-Orbit Coupling
• Interfacial Spin-Orbit Coupling: New Platform for Superconducting Spintronics
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Long-Range Spin-Triplet Correlations and Edge Spin Currents in Diffusive Spin-Orbit Coupled SNS Hybrids with a Single Spin-Active Interface
• Proximity Induced Vortices and Long-Range Triplet Supercurrents in Ferromagnetic Josephson Junctions and Spin Valves
• Generalized quasiclassical theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets
• Superconducting spin-valve effect in heterostructures with ferromagnetic Heusler alloy layers
• In-gap features in superconducting LaAlO${}_3$-SrTiO${}_3$ interfaces observed by tunneling spectroscopy
• Fraunhofer response and supercurrent spin switching in black phosphorus with strain and disorder
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Pure Odd Frequency Superconductivity at the Cores of Proximity Vortices
• Enhanced spin-triplet pairing in magnetic junctions with s-wave superconductors
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Spin and Charge Josephson effects between non-uniform superconductors with coexisting helimagnetic order
• A theory of π/2 superconducting Josephson junctions
• Experimental and theoretical analysis of the upper critical field in FSF trilayers
• Persistent spin textures and currents in wurtzite nanowire-based quantum structures
• Closed-form weak localization magnetoconductivity in quantum wells with arbitrary Rashba and Dresselhaus spin-orbit interactions
• Increasing the performance of the superconducting spin valve using a Heusler alloy
• Magnetization Reversal by Tuning Rashba Spin-Orbit Interaction and Josephson Phase in a Ferromagnetic Josephson Junction
• Phase-controlled spin and charge currents in superconductor-ferromagnet hybrids

Cited by in corpus (28)

• A phenomenological theory of superconductor diodes
• General theory of Josephson Diodes
• Cubic spin-orbit coupling and anomalous Josephson effect in planar junctions
• Hybrid helical state and superconducting diode effect in S/F/TI heterostructures
• Supercurrent Diode Effect, Spin Torques, and Robust Zero-Energy Peak in Planar Half-Metallic Trilayers
• Superconducting phenomena in systems with unconventional magnets
• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Supercurrent diode effect in thin film Nb tracks
• Design of Josephson diode based on magnetic impurity
• Anomalous Josephson current through a driven double quantum dot
• Tunable planar Josephson junctions driven by time-dependent spin-orbit coupling
• Crystalline Anisotropic Topological Superconductivity in Planar Josephson Junctions
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Proximity-induced equilibrium supercurrent and perfect superconducting diode effect due to band asymmetry
• Nonreciprocal superconducting transport and the spin Hall effect in gyrotropic structures
• Josephson effect in graphene bilayers with adjustable relative displacement
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Reconstruction-Induced ${\phi }_0$ Josephson Effect in Quantum Spin Hall Constrictions
• Kramers Fulde-Ferrell state and superconducting spin diode effect
• Reentrant superconductivity in proximity to a topological insulator
• Tunneling conductance in superconducting junctions with $p$-wave unconventional magnets breaking time-reversal symmetry
• Phase jumps in Josephson junctions with time-dependent spin-orbit coupling
• Supergap and subgap enhanced currents in asymmetric {S_1FS_2} Josephson junctions
• Spin-orbit-assisted electron pairing in 1D waveguides
• Josephson diodes induced by the loop current states
• Temperature tuned Fermi surface topology and segmentation in non-centrosymmetric superconductors
• Multiscale statistical quantum transport in porous media and random alloys with vacancies