The Curie temperature of the ferroelectric films with long-range interactions

Phase Transitions in a Transverse Ising Film with the Next Nearest-Neighbor Interactions

“…In particular, the surface and size effects on phase transitions in ferroelectrics have aroused renewed interest recently with the development of fabrication technology in ferroelectric thin films. In theory, the transverse Ising model is thought to be an excellent method to study the ferroelectric thin film from the view of microcosmic point [2][3][4][5][6][7][8][9]. Wang et al studied the influence of the surface exchange interaction and the surface film thickness as well as the total film thickness on the Curie temperature of ferroelectric films described by the transverse Ising model with the mean-field approximation [2].…”

“…Subsequently, Xin et al extended the theory to ferroelectric square lattices and obtained some valuable results [6]. Within the framework of the effective-field theory with correlations, Yao et al [7] and Tabyaoui et al [8] also calculated the dependence of Curie temperature on various parameters, respectively. As mentioned above, however, there are still very little works on the next nearest-neighbor interaction.…”

Phase diagram of ferroelectric thin film with diluted surface

“…The consideration is based on the pseudo-spin Transverse Ising Model (TIM) that is the adequate tool to investigate the bulk properties of KH 2 PO 4 -type ferroelectrics. This model has also been applied to study the critical properties of ferroelectric thin films [4][5][6][7][8][9][10][11][12]. Particularly, in [4] the surface properties were taking into account by surface variation of the transverse field coupling constant.…”

Phase transformation properties of finite size ferroelectric thin film with structural transition zones

“…1 In view of the sustained trend toward further miniaturization of electronic devices, the investigation of surface and size effects in ferroelectric thin films is practically important. There have been a lot of experimental [2][3][4][5][6][7][8][9][10] and theoretical [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] efforts devoted to study these important effects.…”