  Topological phenomena in non-Hermitian systems have recently become a subject
of great interest in the photonics and condensed-matter communities. In
particular, the possibility of observing topologically-protected edge states in
non-Hermitian lattices has sparked an intensive search for systems where this
kind of states are sustained. Here, we present the first study on the emergence
of topological edge states in two-dimensional Haldane lattices exhibiting
balanced gain and loss. In line with recent studies on other Chern insulator
models, we show that edge states can be observed in the so-called broken
$\mathcal{P}\mathcal{T}$-symmetric phase, that is, when the spectrum of the
gain-loss-balanced system's Hamiltonian is not entirely real. More importantly,
we find that such topologically protected edge states emerge irrespective of
the lattice boundaries, namely zigzag, bearded or armchair.
