Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces

Abstract

Employing a Keldysh-Eilenberger technique, we theoretically study the generation of a sponta- neous supercurrent and the appearance of the $\varphi$0 phase shift parallel to uniformly in-plane mag- netized superconducting interfaces made of the surface states of a three-dimensional topological insulator. We consider two weakly coupled uniformly magnetized superconducting surfaces where a macroscopic phase difference between the s-wave superconductors can be controlled externally. We find that, depending on the magnetization strength and orientation on each side, a spontaneous supercurrent due to the $\varphi$0-states flows parallel to the interface at the junction location. Our calcula- tions demonstrate that nonsinusoidal phase relations of current components with opposite directions result in maximal spontaneous supercurrent at phase differences close to $\pi$. We also study the An- dreev subgap channels at the interface and show that the spin-momentum locking phenomenon in the surface states can be uncovered through density of states studies. We finally discuss realistic experimental implications of our findings.

References in corpus (16)

• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids
• Influence of Topological Edge States on the Properties of Al/Bi2Se3/Al Hybrid Josephson Devices
• Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Long-Range Spin-Triplet Correlations and Edge Spin Currents in Diffusive Spin-Orbit Coupled SNS Hybrids with a Single Spin-Active Interface
• Suppression of Spontaneous Supercurrents in a Chiral p-Wave Superconductor
• 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
• Pure Odd Frequency Superconductivity at the Cores of Proximity Vortices
• ${\theta }_0$ thermal Josephson junction
• Spontaneous vortex state and $\phi$-junction in a superconducting bijunction with a localized spin