  The formation of chiral magnetic soliton lattice (CSL) is investigated in
monoaxial chiral dichalcogenide CrTa$_{3}$S$_{6}$ crystals in terms of a
surface barrier, which prevents a penetration of chiral solitons into the
system and is an intrinsic origin of hysteresis for the continuous phase
transition of nucleation-type, as discussed in the system of quantized vortices
in type-II superconductors. The magnetoresistance (MR) was examined with
microfabricated platelet samples in different dimensions with regard to the
$c$-axis direction of the crystal. The CSL formation was confirmed by the
discrete MR changes, reflecting the number of chiral solitons, as well as by
the presence of surface barrier, recognized as a fixed ratio of critical
magnetic fields during the hysteresis field cycle. We also argue the influence
of the surface barrier in the bulk CrTa$_{3}$S$_{6}$ crystals.
