A phenomenological theory of superconductor diodes

Abstract

We study theoretically the superconductor diodes, where the magnitude of the critical current changes as the direction is reversed, in terms of a generalized Ginzburg-Landau model with the higher-order terms in the momentum of the order parameter. This theory is applied to Rashba spin-orbit coupled systems, where analytical relations between the nonreciprocal critical currents and the system parameters are achieved. Numerical calculations with mean-field theory are also obtained to study broader parameter regions. These results offer a rather general description and design principles of superconductor diodes.

Corrected an error in Eq.(10) and in FIG. 1

References in corpus (10)

• A Josephson junction supercurrent diode
• Intrinsic Superconducting Diode Effect
• Supercurrent diode effect and finite momentum superconductivity
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Geometry controlled superconducting diode and anomalous Josephson effect triggered by the topological phase transition in curved proximitized nanowires
• Josephson current through a quantum dot with spin-orbit coupling
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry

Cited by in corpus (168)

• Zero-field superconducting diode effect in small-twist-angle trilayer graphene
• Supercurrent diode effect and magnetochiral anisotropy in few-layer NbSe${}_2$
• Ubiquitous Superconducting Diode Effect in Superconductor Thin Films
• The Josephson diode effect in supercurrent interferometers
• Field-free superconducting diode effect in noncentrosymmetric superconductor/ferromagnet multilayers
• General theory of Josephson Diodes
• Gate-tunable Superconducting Diode Effect in a Three-terminal Josephson Device
• Josephson Diode Effect in High Mobility InSb Nanoflags
• Demonstration of a superconducting diode-with-memory, operational at zero magnetic field with switchable nonreciprocity
• Altermagnetic superconducting diode effect
• Superconducting diode effect due to magnetochiral anisotropy in topological insulator and Rashba nanowires
• Asymmetric higher-harmonic SQUID as a Josephson diode
• Theory of diode effect in d-wave superconductor junctions on the surface of topological insulator
• Josephson Diode Effect Induced by Valley Polarization in Twisted Bilayer Graphene
• Tunable Josephson diode effect on the surface of topological insulators
• Diamagnetic mechanism of critical current non-reciprocity in multilayered superconductors
• Hybrid helical state and superconducting diode effect in S/F/TI heterostructures
• Non-reciprocity of Vortex-limited Critical Current in Conventional Superconducting Micro-bridges
• Symmetry conditions for the superconducting diode effect in chiral superconductors
• Microscopic study of the Josephson supercurrent diode effect in Josephson junctions based on two-dimensional electron gas
• Superconducting diode effect and nonreciprocal transition lines
• Superconducting phenomena in systems with unconventional magnets
• Diode effects in current-biased Josephson junctions
• Enhancing the Josephson diode effect with Majorana bound states
• Field-free Josephson diode effect in altermagnet/normal metal/altermagnet junctions
• Field-free anomalous junction and superconducting diode effect in spin split superconductor/topological insulator junctions
• Non-Reciprocal Supercurrents in a Field-Free Graphene Josephson Triode
• Sign reversal of the AC and DC supercurrent diode effect and 0-$\pi$-like transitions in ballistic Josephson junctions
• Parity protected superconducting diode effect in topological Josephson junctions
• High-temperature field-free superconducting diode effect in high-Tc cuprates
• Gate-tunable Josephson diode effect in Rashba spin-orbit coupled quantum dot junctions
• Enhanced Superconducting Diode Effect due to coexisting Phases
• Dissipation and geometry in nonlinear quantum transports of multiband electronic systems
• Sign reversal diode effect in superconducting Dayem nanobridges
• Superconducting Diode Effect Sign Change in Epitaxial Al-InAs Josepshon Junctions
• Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum
• Prediction of ferroelectric superconductors with reversible superconducting diode effect
• The supercurrent diode effect and nonreciprocal paraconductivity due to the chiral structure of nanotubes
• Superconducting diode effect in quasi-one-dimensional systems
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Link between supercurrent diode and anomalous Josephson effect revealed by gate-controlled interferometry
• Flux-Tunable Josephson Diode Effect in a Hybrid Four-Terminal Josephson Junction
• Microwave-Tunable Diode Effect in Asymmetric SQUIDs with Topological Josephson Junctions
• Superconducting Diode Effects: Mechanisms, Materials and Applications
• Tuning the Josephson diode response with an ac current
• Universal spin superconducting diode effect from spin-orbit coupling
• Josephson diode effects in twisted nodal superconductors
• Double-Fourier engineering of Josephson energy-phase relationships applied to diodes
• Field-Effect Josephson Diode via Asymmetric Spin-Momentum-Locking States
• High-frequency diode effect in superconducting Nb${}_3$Sn micro-bridges
• Supercurrent Diode Effect in Helical Superconductors
• Field-free superconducting diode in a magnetically nanostructured superconductor
• Orbital Fulde-Ferrell pairing state in moiré Ising superconductors
• Supercurrent rectification with time-reversal symmetry broken multiband superconductors
• Anomalous superconducting diode effect in a polar superconductor
• Josephson transistor from the superconducting diode effect in domain wall and skyrmion magnetic racetracks
• Design of Josephson diode based on magnetic impurity
• Nonlinear optical responses in noncentrosymmetric superconductors
• Supercurrent-induced topological phase transitions
• Pair Density Waves and Supercurrent Diode Effect in Altermagnets
• Superconducting diode effect in diffusive superconductors and Josephson junctions with Rashba spin-orbit coupling
• Josephson Diode Effect in Topological Superconductor
• Spontaneous superconducting diode effect in non-magnetic Nb/Ru/Sr${}_2$RuO${}_4$ topological junctions
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Sublattice modulated superconductivity in the Kagome Hubbard model
• Interfering Josephson diode effect in Ta2Pd3Te5 asymmetric edge interferometer
• Piezoelectric effect and diode effect in anapole and monopole superconductors
• Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling
• Nonreciprocal charge transport and subharmonic structure in voltage-biased Josephson diodes
• Magnetic-field-free nonreciprocal transport in graphene multi-terminal Josephson junctions
• Rectification and nonlinear Hall effect by fluctuating finite-momentum Cooper pairs
• Superconducting diodes from magnetization gradients
• Band-asymmetry-driven nonreciprocal electronic transport in a helimagnetic semimetal α-EuP${}_3$
• Nonreciprocal superconducting transport and the spin Hall effect in gyrotropic structures
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Proximity-induced equilibrium supercurrent and perfect superconducting diode effect due to band asymmetry
• Interface superconductivity in a type-II Dirac semimetal NiTe${}_2$
• Intrinsic superconducting diode effects in tilted Weyl and Dirac semimetals
• Josephson diode effect with Andreev and Majorana bound states
• Time reversal symmetry breaking and zero magnetic field Josephson diode effect in Dirac semimetal Cd3As2-mediated asymmetric SQUIDs
• Nonreciprocal superconductivity
• Kramers' degenerate magnetism and superconductivity
• Orbital effect on intrinsic superconducting diode effect
• Microwave-assisted unidirectional superconductivity in Al-InAs nanowire-Al junctions under magnetic fields
• Finite momentum superconductivity in superconducting hybrids: Orbital mechanism
• Dissipationless Nonlinearity in Quantum Material Josephson Diodes
• Superconducting diode efficiency from singlet-triplet mixing in disordered systems
• Superconducting Diode Effect in Quantum Spin Hall Insulator-based Josephson Junctions
• Evidence of $\varphi$0-Josephson junction from skewed diffraction patterns in Sn-InSb nanowires
• Stripe order and diode effect in two-dimensional Rashba superconductors
• Superconducting nanowire diode
• Optimizing one dimensional superconducting diodes: Interplay of Rashba spin-orbit coupling and magnetic fields
• Nonreciprocal Josephson linear response
• Evidence for a finite-momentum Cooper pair in tricolor $d$-wave superconducting superlattices
• Intrinsic superconducting diode effect and nonreciprocal superconductivity in rhombohedral graphene multilayers
• Back-action supercurrent diodes
• Quarter Metal Superconductivity
• Unconventional Josephson supercurrent diode effect induced by chiral spin-orbit coupling
• Intrinsic non-magnetic ${\varphi }_0$ Josephson junctions in twisted bilayer graphene
• Nematic Bogoliubov Fermi surfaces from magnetic toroidal order in FeSe${}_{1-x}$S${}_x$
• Anatomy of Spin and Current Generation from Magnetization Gradients in Topological Insulators and Rashba Metals
• Theory of quantum-geometric charge and spin Josephson diode effects in strongly spin-polarized hybrid structures with noncoplanar spin textures
• Room temperature realization of artificial chiral magnets with reprogrammable magnon nonreciprocity at zero field
• Photogalvanic phenomena in superconductors supporting intrinsic diode effect
• Chiral superconducting diode effect by Dzyaloshinsky-Moriya interaction
• Quantum-geometric spin and charge Josephson diode effects
• Supercurrent Diode Effect in Josephson Interferometers with Multiband Superconductors
• Kramers Fulde-Ferrell state and superconducting spin diode effect
• Design of a Josephson diode based on double magnetic impurities
• Fabry-Perot superconducting diode
• Geometric and conventional contributions of superconducting diode effect: Application to flat-band systems
• Interplay between the extended s-wave symmetry of the gap and the spin-orbit coupling in the low-electron concentration regime of quasi-two-dimensional superconductors
• Magnetoelectric effect in the helical state of a superconductor/ferromagnet bilayer
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Influence of capacitance and thermal fluctuations on the Josephson diode effect in asymmetric higher-harmonic SQUIDs
• Superconducting diode effect in Ising superconductors
• Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear $\sigma$ model
• Absence of diode effect in chiral type-I superconductor NbGe2
• Quasi-ideal feedback-loop supercurrent diode
• ${\varphi }_0$-junction and Josephson diode effect in high-temperature superconductor
• Spin-resolved Josephson diode effect through strongly spin-polarized conical magnets
• Nonlinear diode effect and Berezinskii-Kosterlitz-Thouless transition in purely two-dimensional noncentrosymmetric superconductors
• Transport Signatures of Radial Rashba Spin-Orbit Coupling at Ferromagnet/Superconductor Interfaces
• Supercurrent diode with high winding vortex
• Field-Resilient Supercurrent Diode in a Multiferroic Josephson Junction
• Relations between normal state nonreciprocal transport and the superconducting diode effect in the trivial and topological phases
• Josephson diodes induced by the loop current states
• Tunable diode effect in a superconducting tunnel junction with biharmonic drive
• Diode effect in the Fraunhofer pattern of disordered planar Josephson junctions
• Quadristor: a novel device for superconducting electronics
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Two-dimensional superconducting diode effect in topological insulator/superconductor heterostructure
• Photogalvanic and photon drag phenomena in superconductors and hybrid superconducting systems
• Diode effect in Shapiro steps in an asymmetric SQUID with a superconducting nanobridge
• Unique properties of the optical activity in noncentrosymmetric superconductors: sum rule, missing area, and relation with the superconducting Edelstein effect
• Dissipation-enhanced non-reciprocal superconductivity: application to multi-valley superconductors
• Nonreciprocal transport in U(1) gauge theory of high-Tc cuprates
• Temperature tuned Fermi surface topology and segmentation in non-centrosymmetric superconductors
• Reducing the frequency of the Higgs mode in a helical superconductor coupled to an LC-circuit
• Geometric Asymmetry-Enhanced Nonreciprocal Supercurrent Transport Revealed by Second-Harmonic Response
• In-plane magnetic field-induced orbital FFLO superconductivity in twisted WSe${}_2$ homobilayers
• Vortex structure and intervortex interaction in superconducting structures with intrinsic diode effect
• Interfacial spin-orbit coupling in superconducting hybrid systems
• Dual-mode superconducting diode effect enabled by in-plane and out-of-plane magnetic field
• Supercurrent-induced antiferromagnetic order and spin-triplet pair generation in quantum critical d-wave superconductors
• Superconducting Diode Effect in Weak Localization Regime
• Nonreciprocal Equilibrium Josephson Effect of Arbitrary Periodicity from Poor Man's Majorana Zero Modes
• Enhanced Superconducting Diode Effect in the Asymmetric Hatsugai-Kohmoto Model
• Josephson diode and spin-valve effects on the surface of altermagnet CrSb
• Electrical magnetochiral anisotropy in Rashba superconductors
• Vortex-driven superconducting diode effect in asymmetric multilayer heterostructures
• Nonlinear edge transport in a quantum Hall system
• Perturbative Analysis of the Field-Free Josephson Diode Effect in a Multilayered Josephson Junction
• Diode effect in microwave irradiated Josephson junctions with Yu-Shiba-Rusinov states
• Current-induced re-entrant superconductivity and extreme nonreciprocal superconducting diode effect in valley-polarized systems
• Observation of field-odd and field-free superconducting diode effects in ${\mathrm{Mo}}_2\mathrm{C}$ nanoflakes
• Algebraic Criterion and Graph-Theoretic Construction of Intrinsic Superconducting Diode Effects
• Pressure induced magnetic-field-free superconducting diode effect in NbSe2 flake
• Vertex corrections to nonlinear photoinduced currents in 2D superconductors
• Giant and robust Josephson diode effect in multiband topological nanowires
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Directional conductance of Andreev crystals in hybrid Josephson junction arrays
• Transverse superconducting diode without parity and time-reversal violation
• Diode effect in a skyrmion-coupled high-temperature Josephson junction
• Universal route towards field-free electrically polarity-reversible Josephson diode
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling
• Thermodynamic Constraints on Perfect Equilibrium Superconducting Diodes