  We study edge modes in topological semimetals which have an energy band
structure of ordinary semimetals but can be characterized by a Chern number.
More specifically, we focus on a Qi-Wu-Zhang-type square-lattice model and a
Haldane-type honeycomb model, both of which exhibit antichiral edge modes whose
wave packets propagate in the same direction at both parallel edges of the
strip. To obtain these analytical solutions of the edge modes, we apply the
transfer matrix method which was developed in the previous work [Phys. Rev. B
\textbf{101}, 014442 (2020)]. As a result, we show that the bulk-edge
correspondence is broken down for a certain range of the model parameters. More
precisely, when increasing the strength of a hopping amplitude of the
Qi-Wu-Zhang-type model, the edge modes abruptly disappear, although the
non-trivial Chern number does not change. In the Haldane-type model, for
varying the model parameters, the edge modes do not necessarily disappear, and
the non-trivial Chern number does not change. However, the energy spectral
flows of the edge modes from the valence band to the conduction band are
abruptly broken at a certain set of the model parameters.
