A Landau-Ginsburg-Devonshire-type theory is used to describe the mechanical
substrate effect on equilibrium states and phase transitions in SrTiO3 epi
taxial thin films. The misfit strain-temperature phase diagram of SrTiO3 fi
lms is developed taking into account the existence of two coupled instabili
ties (antiferrodistortive and ferroelectric) in this crystal. It is shown t
hat SrTiO3 films remain paraelectric down to 0 K only in a narrow range of
small negative misfit strains between -2 x 10(-3) and -2.2 x 10(-4). Outsid
e this "paraelectric gap," he 2D clamping and straining of the film by the
substrate leads to the appearance of ferroelectricity in SrTiO3 films. The
temperature of the ferroelectric transition increases rapidly outside the a
forementioned misfit strain range.