  Majorana zero modes (MZMs)--bearing potential applications for topological
quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems,
including semiconductor nanowires, magnetic atomic chains, planar Josephson
junctions. However, the existence of multi-bands in these systems makes the
MZMs fragile to the influence of disorder. Moreover, in practical perspective,
the proximity induced superconductivity may be difficult and restricted for 1D
systems. Here, we propose a flexible route to realize MZMs through 1D
topological kink states by engineering a 2D electron gas with antidot lattices,
in which both the aforementioned issues can be avoided owing to the robustness
of kink states and the intrinsically attainable superconductivity in
high-dimensional systems. The MZMs are verified to be quite robust against
disorders and the bending of kink states, and can be conveniently tuned by
varying the Rashba spin-orbit coupling strength. Our proposal provides an
experimental feasible platform for MZMs with systematic manipulability and
assembleability based on the present techniques in 2D electron gas system.
