Incommensurate Phase Transition in a Thin Film

Abstract

The solutions of the exact boundary value problems for the order parameter and susceptibility were obtained numerically for the incommensurate thin films with the onecomponent order parameter. The spatial variations of the order parameter and susceptibility and their temperature dependences were calculated for some particular sets of phenomenological parameters in the Landau expansion. The non-monotone dependences of the order parameter and the temperature of the phase transition into the incommensurate phase on the film thickness were obtained in contrast to approximate solutions. It was shown that the critical behavior of the mean susceptibility becomes more pronounced for thinner films.

Dielectric Studies of Thiourea, SС(NH2)2, Embedded into Molecular Sieves

“…The influence of size reduction on the incommensurate phase transition was considered only for thin films (see [32] and references therein). The models were developed for an order parameter of arbitrary nature.…”

Full Analysis of the Ferroelectric Phase Transition in a Thin Film with Various Boundary Conditions

“…In particular, temperatures of phase transitions and spontaneous polarization distribution were changed remarkably (see [1][2][3][4][5] and reference therein). Due to rapid increase in practical applications of ferroelectric nanostructures, many efforts were focused on theoretical treatment of size-effects on ferroelectricity in low-dimensional systems, especially, in thin films ( [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and references therein). A model which allows direct comparison with experimental results in thin films was developed using the Landau phenomenological approach (see [6][7][8][9][10][11] and references therein).…”