Magnetic Flux Control of Chiral Majorana Edge Modes in Topological Superconductor

TL;DR

This paper investigates how magnetic flux can be used to control the transport of chiral Majorana edge modes in a hybrid quantum system, revealing a method to manipulate these modes via topological phase transitions.

Contribution

It demonstrates a scheme to control chiral Majorana edge modes using magnetic flux in a QAHI-TSC system with a Josephson junction and cavity, highlighting flux-induced topological transitions.

Findings

Majorana zero-energy states appear at half-integer flux quanta.

Resonant tunneling of CMEMs occurs through Majorana states.

Transport patterns can be tuned by adjusting the TSC size.

Abstract

We study the transport of chiral Majorana edge modes (CMEMs) in a hybrid quantum anomalous Hall insulator-topological superconductor (QAHI-TSC) system in which the TSC region contains a Josephson junction and a cavity. The Josephson junction undergoes a topological transition when the magnetic flux through the cavity passes through half-integer multiples of magnetic flux quantum. For the trivial phase, the CMEMs transmit along the QAHI-TSC interface as without magnetic flux. However, for the nontrivial phase, a zero-energy Majorana state appears in the cavity, leading that a CMEM can resonantly tunnel through the Majorana state to a different CMEM. These findings may provide a feasible scheme to control the transport of CMEMs by using the magnetic flux and the transport pattern can be customized by setting the size of the TSC.