Planar Josephson Hall effect in topological Josephson junctions

Abstract

Josephson junctions based on three-dimensional topological insulators offer intriguing possibilities to realize unconventional $p$-wave pairing and Majorana modes. Here, we provide a detailed study of the effect of a uniform magnetization in the normal region: We show how the interplay between the spin-momentum locking of the topological insulator and an in-plane magnetization parallel to the direction of phase bias leads to an asymmetry of the Andreev spectrum with respect to transverse momenta. If sufficiently large, this asymmetry induces a transition from a regime of gapless, counterpropagating Majorana modes to a regime with unprotected modes that are unidirectional at small transverse momenta. Intriguingly, the magnetization-induced asymmetry of the Andreev spectrum also gives rise to a Josephson Hall effect, that is, the appearance of a transverse Josephson current. The amplitude and current phase relation of the Josephson Hall current are studied in detail. In particular, we show how magnetic control and gating of the normal region can enable sizable Josephson Hall currents compared to the longitudinal Josephson current. Finally, we also propose in-plane magnetic fields as an alternative to the magnetization in the normal region and discuss how the planar Josephson Hall effect could be observed in experiments.

arXiv comment17 pages, 8 figures, revised manuscript

References in corpus (69)

• Topological Insulators
• Topological insulators and superconductors
• Spintronics: Fundamentals and applications
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• New directions in the pursuit of Majorana fermions in solid state systems
• Random-Matrix Theory of Quantum Transport
• Search for Majorana fermions in superconductors
• Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3
• Superconducting Spintronics
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Introduction to topological superconductivity and Majorana fermions
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Induced Superconductivity in the Quantum Spin Hall Edge
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Magnetic Proximity Effect as a Pathway to Spintronic Applications of Topological Insulators
• Tunneling spectroscopy for ferromagnet/superconductor junctions
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Independent tuning of electronic properties and induced ferromagnetism in topological insulators with heterostructure approach
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• Electrical injection and detection of spin-polarized currents in topological insulator Bi2Te2Se
• Tuning the conductance of Dirac fermions on the surface of a topological insulator
• Dynamics of Majorana States in a Topological Josephson Junction
• Enhanced spin Seebeck effect signal due to spin-momentum locked topological surface states
• Anomalous Josephson current via Majorana bound states in topological insulators
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Majorana Flat Bands and Uni-directional Majorana Edge States in Gapless Topological Superconductors
• Spin-polarized transport and Andreev reflection in semiconductor/superconductor hybrid structures
• Spin-helical transport in normal and superconducting topological insulators
• Odd-frequency superconducting pairing in topological insulators
• Josephson supercurrent through the topological surface states of strained bulk HgTe
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Topological insulator based spin valve devices: evidence for spin polarized transport of spin-momentum-locked topological surface states
• Novel Josephson Effect in Triplet Superconductor - Ferromagnet - Triplet Superconductor Junctions
• Parity measurement in topological Josephson junctions
• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Andreev bound states and current-phase relations in three-dimensional topological insulators
• Interplay of ferromagnetism and triplet superconductivity in a Josephson junction
• 0-$\pi$ transition in magnetic triplet superconductor Josephson junctions
• Tunneling Planar Hall Effect in Topological Insulators: Spin-Valves and Amplifiers
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Anomalous low-temperature enhancement of supercurrent in topological-insulator nanoribbon Josephson junctions: evidence for low-energy Andreev bound states
• Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
• Detection of second-order topological superconductors by Josephson junctions
• Majorana flat bands, chiral Majorana edge states, and unidirectional Majorana edge states in noncentrosymmetric superconductors
• Paramagnetically induced gapful topological superconductors
• Microwave signature of robust topological Andreev-level crossings in superconducting proximitized crystalline Bi nanowires
• Enhanced spin-triplet pairing in magnetic junctions with s-wave superconductors
• On-demand thermoelectric generation of equal-spin Cooper pairs
• Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor
• Intrinsic Superspin Hall Current
• Controlling electron propagation on a topological insulator surface via proximity interactions
• Rashba Sandwiches with Topological Superconducting Phases
• Anomalous Josephson Hall effect charge and transverse spin currents in superconductor/ferromagnetic insulator/superconductor junctions
• Theory of magnetic response in finite two-dimensional superconductors
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators
• Direct and inverse superspin Hall effect in two-dimensional systems: Electrical detection of spin supercurrents
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• Soliton defects and topological $4\pi$-periodic superconductivity from an orbital magnetic field effect in edge Josephson junctions
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions
• Resonant Tunneling Anisotropic Magnetoresistance Induced by Magnetic Proximity
• AC anomalous Hall effect in topological insulator Josephson junctions

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• Four-terminal Josephson junctions: diode effects, anomalous currents and transverse currents
• Majorana bound state parity exchanges in planar Josephson junctions
• Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity