The Green's Functions of Spatially Confined Order-Disorder Systems

Abstract

The theory of Green's functions (GF) for thin films was formulated, where site indices were different also along the direction of broken symmetry. This approach results in the layer dependence of correlation functions in films, which did not appear in the previous investigations of thin films. The magnetizations of three layer thin ferromagnetic (FM) and four layer thin ferroelectric (FE) films were investigated using the GFs found in this way. It was shown that the transition temperature varies from layer to layer, which is the obvious consequence of the generalization of the formalism of the GF calculation for films.

The Research of Nanoscience Progress

“…In this stage it is convenient to use the fact that translation invariancy 153 is conserved in z direction. Therefore we shall use the following space-momentum transformation of the function n m ≡ n x n y n z m x m y m z : …”