  An atomistic approach is used to investigate finite-temperature properties of
ferroelectric nanodots that are embedded in a polarizable medium. Different
phases are predicted, depending on the ferroelectric strengths of the material
constituting the dot and of the system forming the medium. In particular, novel
states, exhibiting a coexistence between two kinds of order parameters or
possessing a peculiar order between dipole vortices of adjacent dots, are
discovered. We also discuss the origins of these phases, e.g. depolarizing
fields and medium-driven interactions between dots.
