  We introduce and analyze an exactly soluble one-dimensional Ising model with
long range interactions which exhibits a mixed order transition (MOT), namely a
phase transition in which the order parameter is discontinuous as in first
order transitions while the correlation length diverges as in second order
transitions. Such transitions are known to appear in a diverse classes of
models which are seemingly unrelated. The model we present serves as a link
between two classes of models which exhibit MOT in one dimension, namely, spin
models with a coupling constant which decays as the inverse distance squared
and models of depinning transitions, thus making a step towards a unifying
framework.
