Moving Protocol of Majorana Corner Modes in a Superconducting 2D Weyl Semimetal Heterostructure

TL;DR

This paper presents a new protocol for dynamically controlling and moving Majorana corner modes in a 2D Weyl semimetal and superconductor heterostructure, facilitating potential applications in topological quantum computing.

Contribution

It introduces a novel method to manipulate Majorana corner modes via chemical potential tuning and device architecture with multiple gate-controlled heterostructures.

Findings

Effective tuning of MCM positions through chemical potential adjustments.

Design of a scalable device architecture for adiabatic MCM movement.

Robust mechanism for Majorana manipulation demonstrated.

Abstract

Second-order topological superconductors host Majorana corner modes (MCMs), which are confined to specific corners of the system. This spatial restriction presents challenges for manipulating and relocating MCMs. We propose a novel protocol for dynamically controlling the movement of time-reversal symmetric MCMs in a heterostructure consisting of a 2D Weyl semimetal and a $d$-wave superconductor. By leveraging the energy asymmetry of topological edge states in the 2D Weyl semimetal, the position of MCMs can be effectively tuned via chemical potential adjustments. We further introduce a device architecture that integrates multiple heterostructure blocks, each controlled by independent gate voltages, to enable the adiabatic movement and exchange of MCMs. This approach demonstrates a robust mechanism for Majorana manipulation and provides a scalable framework for future experimental studies of topological quantum computation.