  In this work we illustrate the detrimental impact of the Cooper pair's
spin-structure on the thermodynamic and topological properties of a
spin-triplet superconductor in an applied Zeeman field. We particularly focus
on the paradigmatic one-dimensional case (Kitaev chain) for which we
self-consistently retrieve the energetically preferred Cooper pair spin-state
in terms of the corresponding spin d-vector. The latter undergoes a substantial
angular and amplitude reorganization upon the variation of the strength and the
orientation of the field and results to a modification of the bulk topological
phase diagram. Markedly, when addressing the open chain we find that the
orientation of the d-vector varies spatially near the boundary, affecting in
this manner the appearance of Majorana fermions at the edge or even altering
the properties of the bulk region. Our analysis reveals the limitations and
breakdown of the bulk-boundary correspondence in interacting topological
systems.
