Tunable Topological Superconductivity by Fully Compensated Ferrimagnets

Abstract We propose a platform based on a fully compensated ferrimagnet (fFIM) for realizing and controlling topological superconductivity with Majorana bound states across multiple dimensions. Through symmetry analysis and microscopic modeling, we demonstrate that fFIM-based heterostructures host (i) Majorana zero modes localized at the ends of one-dimensional nanowires, (ii) chiral Majorana edge states along two-dimensional boundaries, and (iii) tunable Majorana corner modes in higher-order topological phases. The unique properties of fFIMs enable the topological superconductivity to be electrically and magnetically tunable, i.e., the intrinsic staggered potential can drive topological superconductivity phase transitions by an electric field, and Néel vector orientation can control the spatial distribution of Majorana modes, without the need for an external magnetic field. Moreover, our calculations show that these fFIM-based topological phases are robust against weak onsite disorder, confirming their relevance for realistic heterostructures. Crucially, the absence of net magnetization in fFIM-based heterostructures preserves superconductivity, circumventing the usual trade-off between tunability and superconducting coherence in magnetized systems. By leveraging zero net magnetization and electric-field-tunable spin-band splitting intrinsic to fFIMs, the proposed heterostructures provide a more practical and robust route to tunable topological superconductivity.