AC anomalous Hall effect in topological insulator Josephson junctions

Abstract

A nonstationary anomalous Hall current is calculated for a voltage biased Josephson junction, which is composed of two s-wave superconducting contacts deposited on the top of a three dimensional topological insulator (TI). A homogeneous Zeeman field was assumed at the surface of TI. The problem has been considered within the ballistic approximation and on the assumption that tunneling of electrons between contacts and the surface of TI is weak. In this regime the Josephson current has no features of the $4\pi$-periodic topological effect which is associated with Andreev bound states. It is shown that the Hall current oscillates in time. The phase of these oscillations is shifted by $\pi /2$ with respect to the Josephson current and their amplitude linearly decreases with the electric potential difference between contacts. It is also shown that the Hall current cannot be induced by a stationary phase difference of contact's order parameters.

arXiv comment7 pages, 2 figures

References in corpus (30)

• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Anomalous Hall effect
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Chiral Topological Superconductor From the Quantum Hall State
• Josephson supercurrent through a topological insulator surface state
• Gate-tuned normal and superconducting transport at the surface of a topological insulator
• Highly-ordered wide bandgap materials for quantized anomalous Hall and magnetoelectric effects
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Magnetic proximity effect at the 3D topological insulator/magnetic insulator interface
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Massive Dirac surface states in topological insulator/magnetic insulator heterostructures
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Independent tuning of electronic properties and induced ferromagnetism in topological insulators with heterostructure approach
• Magnetotransport in manganites and the role of quantal phases II: Experiment
• Evidence for an anomalous current phase relation in topological insulator Josephson junctions
• Josephson supercurrent through the topological surface states of strained bulk HgTe
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Finite momentum Cooper pairing in 3D topological insulator Josephson junctions
• Effects of Domain Walls in Quantum Anomalous Hall Insulator/Superconductor Heterostructures
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Spin-Hall current and spin polarization in an electrically biased SNS Josephson junction
• Anomalous Hall effect in superconductors with spin-orbit interaction
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions

Cited by in corpus (2)

• Planar Josephson Hall effect in topological Josephson junctions
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