Dynamical Steering and Unambiguous Signature of Majorana Corner Modes in Altermagnetic Josephson Junctions

Abstract: Dynamical manipulation of Majorana zero modes and their unambiguous distinction from topologically trivial states remain paramount challenges in topological quantum computation. Here, we propose a phase-biased altermagnetic Josephson junction as a versatile platform for generating and controlling Majorana corner configurations. Moving beyond conventional global parameter tuning that merely toggles the topological phase in situ, our platform utilizes the macroscopic superconducting phase difference and the Néel-vector orientation as independent control knobs to dynamically reshape the boundary mass. This synergistically enables the deterministic spatial relocation of Majorana corner modes (MCMs) among selected corners of a fixed device geometry. Crucially, this spatial reconfiguration yields a definitive experimental fingerprint: a control-correlated conductance switching. As the MCMs are relocated, the quantized zero-bias peak perfectly emerges at the target corner while simultaneously vanishing at the initial one. This macroscopically phase-locked spatial correlation effectively eliminates false positives from trivial Andreev bound states, establishing a control-correlated diagnostic and a promising route toward future Majorana braiding architectures.