Majorana Corner Modes in 2D Topological Weyl Superconductors

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.