Tunability of Andreev levels via spin-orbit coupling in Zeeman-split Josephson junctions

Abstract

We study Andreev reflection and Andreev levels $\epsilon$ in Zeeman-split superconductor/Rashba wire/Zeeman-split superconductor junctions by solving the Bogoliubov de-Gennes equation. We theoretically demonstrate that the Andreev levels $\epsilon$ can be controlled by tuning either the strength of Rashba spin-orbit interaction or the relative direction of the Rashba spin-orbit interaction and the Zeeman field. In particular, it is found that the magnitude of the band splitting is tunable by the strength of the Rashba spin-orbit interaction and the rength of the wire, which can be interpreted by a spin precession in the Rashba wire. We also find that if the Zeeman field in the superconductor has the component parallel to the direction of the junction, the $\epsilon$-$\varphi$ curve becomes asymmetric with respect to the superconducting phase difference $\varphi$. Whereas the Andreev reflection processes associated with each pseudospin band are sensitive to the relative orientation of the spin-orbit field and the exchange field, the total electric conductance interestingly remains invariant.

arXiv comment10 pages, 8 figures

References in corpus (33)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Proximity effects in superconductor-ferromagnet heterostructures
• New Perspectives for Rashba Spin-Orbit Coupling
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Superconducting Spintronics
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Spin-polarized supercurrents for spintronics: a review of current progress
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Enhancement of the Josephson current by an exchange field in superconductor-ferromagnet structures
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Nonlocal Thermoelectric Effects and Nonlocal Onsager Relations in a Three-Terminal Proximity-Coupled Superconductor-Ferromagnet Device
• Huge thermoelectric effects in ferromagnet-superconductor junctions in the presence of a spin-splitting field
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Odd-frequency Pairs and Josephson Current through a Strong Ferromagnet
• Critical current in SFIFS junctions
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Spin Supercurrent, Magnetization Dynamics, and Phi-State in Spin-Textured Josephson Junctions
• Superconductors as ideal spin sources for spintronics
• Charge transport in two dimensional electron gas/superconductor junctions with Rashba spin-orbit coupling
• $\pi -0$ Transition in Superconductor-Ferromagnetic-Superconductor Junctions
• Frequency-dependent admittance of a short superconducting weak link
• Microwave signatures of Majorana states in a topological Josephson junction
• Spin caloritronics with superconductors: Enhanced thermoelectric effects, generalized Onsager response-matrix, and thermal spin currents
• Anomalous Josephson effect in d-wave superconductor junctions on TI surface
• Theory of the tunneling spectroscopy of ferromagnetic superconductors
• Strongly spin-polarized current generated in Zeeman-split unconventional superconductors
• Andreev spectrum of a Josephson junction with spin-split superconductors
• Theory of charge transport in ferromagnetic semiconductor/s-wave superconductor junction

Cited by in corpus (4)

• Spin transport and Spin Tunnelling Magneto-Resistance (STMR) of F$|$NCSC$|$F spin valve
• Effect of Rashba spin-orbit coupling, magnetization and mixing of gap parameter on tunnelling conductance in F$|$NCSC junction of an F$|$S$|$F spin valve
• Spin-split superconductivity in spin-orbit coupled hybrid nanowires with ferromagnetic barriers
• Supercurrent reversal in Zeeman-split Josephson junctions