  Majorana zero modes at the boundaries of topological superconductors are
charge-neutral, an equal superposition of electrons and holes. This ideal
situation is, however, hard to achieve in physical implementations, such as
proximitised semiconducting nanowires of realistic length. In such systems
Majorana overlaps are unavoidable and lead to their hybridisation into charged
Bogoliubov quasiparticles of finite energy which, unlike true zero modes, are
affected by electronic interactions. We here demonstrate that these
interactions, particularly with bound charges in the dielectric surroundings,
drastically change the non-interacting paradigm. Remarkably, interactions may
completely suppress Majorana hybridisation around parity crossings, where the
total charge in the nanowire changes. This effect, dubbed zero-energy pinning,
stabilises Majoranas back to zero energy and charge, and leads to
electronically incompressible parameter regions wherein Majoranas remain
insensitive to local perturbations, despite their overlap.
