  Planar topological superconductors with power-law-decaying pairing display
different kinds of topological phase transitions where quasiparticles dubbed
nonlocal-massive Dirac fermions emerge. These exotic particles form through
long-range interactions between distant Majorana modes at the boundary of the
system. We show how these propagating-massive Dirac fermions neither mix with
bulk states nor Anderson-localize up to large amounts of static disorder
despite being finite energy. Analyzing the density of states (DOS) and the band
spectrum of the long-range topological superconductor, we identify the
formation of an edge gap and a surprising double peak structure in the DOS
which can be linked to a twisting of energy bands with nontrivial topology. Our
findings are amenable to experimental verification in the near future using
atom arrays on conventional superconductors, planar Josephson junctions on
two-dimensional electron gases, and Floquet driving of topological
superconductors.
