  In this work we study the dynamical generation of mass in the
Lorentz-violating low-dimensional Super-Yang-Mills theory in the aether
superspace coupled to a scalar matter. We also suggest that our studies can be
applied for condensed matter systems, especially lower-dimensional
superconductors and topological insulators. In low dimensional materials, the
parameter $\Delta$ generated by presence of the aether term can be interpreted
as a quantity that renormalizes the propagation velocity of the bosonic mode
with respect to the Fermi velocity.
