Symmetry-protected topological phases in interacting Majorana fermions

Models of interacting Majorana fermions have been shown to host exotic phenomena, including emergent supersymmetry and topological insulators. These models may be experimentally realizable in the form of vortex-bound Majorana modes on the surface of topological superconductors. In this work, we utilize density-matrix renormalization group (DMRG) and variational uniform matrix-product state (VUMPS) techniques to study the triangular-lattice Majorana-Hubbard model on ladder geometries. We uncover a family of symmetry-protected topological (SPT) phases accessible by tuning a single parameter.