  A two-dimensional Ising model with short-range interactions and mobile
defects describing the formation and thermal destruction of defect stripes is
studied. In particular, the effect of a local pinning of the defects at the
sites of straight equidistant lines is analysed using Monte Carlo simulations
and the transfer matrix method. The pinning leads to a long-range ordered
magnetic phase at low temperatures. The dependence of the phase transition
temperature, at which the defect stripes are destabilized, on the pinning
strength is determined. The transition seems to be of first order, with and
without pinning.
