  We investigate anomalous localization phenomena in non-Hermitian systems by
solving a class of generalized Su-Schrieffer-Heeger/Rice-Mele models and by
relating their provenance to fundamental notions of topology, symmetry-breaking
and biorthogonality. We find two flavours of bound states in the continuum,
both stable even in the absence of chiral symmetry. The first being skin bulk
states which are protected by the spectral winding number. The second flavour
is constituted by boundary modes associated with a quantized biorthogonal
polarization. Furthermore, we find the extended state stemming from the
boundary state that delocalizes while remaining in the gap at bulk critical
points. This state may also delocalize within a continuum of localized (skin)
states. These results clarify fundamental aspects of topology, and symmetry in
the light of different approaches to the anomalous non-Hermitan bulk-boundary
correspondence -- and are of direct experimental relevance for mechanical,
electrical and photonic systems.
