Comment on `Phase-separated states in antiferromagnetic semiconductors with a polarizable lattice

The ‘proof’ of the possibility of the slab or stripe phase separation in polar semiconductors, proposed recently by E. L. Nagaev (Phys. Rev. B64 (2001) 014401) is shown to be erroneous. The fundamental error originates in the double-counting of the electron-phonon interaction with optical phonons.