  We prove that a disordered analog of the Su-Schrieffer-Heeger model exhibits
dynamical localization (i.e. the fractional moments condition) at all energies
except possibly zero energy, which is singled out by chiral symmetry.
Localization occurs at arbitrarily weak disorder, provided it is sufficiently
random. If furthermore the hopping probability measures are properly tuned so
that the zero energy Lyapunov spectrum does not contain zero, then the system
exhibits localization also at that energy, which is of relevance for
topological insulators. The method also applies to the usual Anderson model on
the strip.
