  The bulk-edge correspondence is one of the most important ingredients in the
theory of topological phases of matter. While the bulk-edge correspondence is
applicable for Hermitian junction systems where two subsystems with independent
topological invariants are connected to each other, it has not been discussed
for junction systems with non-Hermitian point-gap topological phases. In this
Letter, based on analytical results obtained by the extension of non-Bloch band
theory to junction systems, we establish the bulk-edge correspondence for
point-gap topological phases in junction systems. We also confirm that almost
all the eigenstates are localized near the interface which are called the
"non-Hermitian proximity effects". One of the unique properties is that the
localization length becomes the same for both subsystems nevertheless those
model-parameters are different.
