Anomalous Josephson Effect in Topological Insulator-Based Josephson Trijunction

TL;DR

This paper investigates the anomalous Josephson effect in topological insulator-based Josephson trijunctions, revealing how magnetic fields influence Majorana states and offering insights for topological quantum computing.

Contribution

It demonstrates the impact of the anomalous Josephson effect on Majorana phase diagrams in topological insulator trijunctions under magnetic fields, advancing understanding of Majorana control.

Findings

AJE significantly alters Majorana phase diagrams.

Magnetic field influences the anomalous Josephson effect.

Provides evidence for AJE in topological insulator systems.

Abstract

We studied anomalous Josephson effect (AJE) in Josephson trijunctions fabricated on Bi$_2$Se$_3$, and found that the AJE in T-shaped trijunctions significantly alters the Majorana phase diagram of the trijunctions, when an in-plane magnetic field is applied parallel to two of the three single junctions. Such a phenomenon in topological insulator-based Josephson trijunction provides unambiguous evidence for the existence of AJE in the system, and might provide an additional knob for controlling the Majorana bound states in the Fu-Kane scheme of topological quantum computation.