  Majorana bound states in topological superconductors have attracted intense
research activity in view of applications in topological quantum computation.
However, they are not the only example of topological bound states that can
occur in such systems. We here study a model in which both Majorana and Tamm
bound states compete. We show both numerically and analytically that,
surprisingly, the Tamm state remains partially localized even when the spectrum
becomes gapless. Despite this fact, we demonstrate that the Majorana
polarization shows a clear transition between the two regimes.
