Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

TL;DR

This paper investigates the anomalous Josephson Hall effect in nematic superconductors with odd parity, revealing how the effect arises without magnetization and depends on junction and crystal orientations.

Contribution

It introduces a Ginzburg-Landau model for nematic superconductors showing off-diagonal Meissner kernel components and predicts observable Josephson Hall effects without magnetization.

Findings

Anomalous Josephson Hall effect can occur without magnetization.

The Josephson current component depends on phase difference and orientations.

Fraunhofer oscillation period varies with geometry, magnetic field, and nematicity.

Abstract

We study the physics of the Josephson effect in nematic superconductors with $E_u$ odd parity in the Ginzburg-Landau approach. Two-component vector superconducting order parameter makes this effect rather unusual. We get that the Meissner kernel has off-diagonal components. We derive current-phase relations for different configurations of the junction, crystallographic axes of the sample, and nematicity direction. We show that an anomalous Josephson Hall effect can be observed in such a system without any magnetization. That is, for definite orientations of the junction and crystal axes, a component of the Josephson current along the junction is induced by the order parameter phase difference across the contact. We also calculate the magnetic field dependence of the maximum current through the junction. We find that the period of the Fraunhofer oscillations of the maximum Josephson current depends on the geometry of the junction, direction of the magnetic field, and nematicity vector.