  Sannomiya-Katsura-Nakayama have recently studied supersymmetry breakdown for
an extension of the Nicolai supersymmetric fermion lattice model. This model
called the extended Nicolai model is parameterized by an adjustable constant
$g\in \mathbb{R}$ in its defining supercharge, and satisfies ${{\cal{N}}}=2$
supersymmetry. We show that for any non-zero $g$ the extended Nicolai model
breaks supersymmetry dynamically, and the energy density of any homogeneous
ground state (that breaks supersymmetry) is strictly positive.
