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By taking into account the two-spin interaction in the transverse Ising model(TIM),the influence of the defect layers(including J_B andΩ_B) on the polarization and Curie temperature are calculated numerically,within the framework of the decoupling approximation under Green’s function.The numerical results show that the polarization and Curie temperature will both become large sensitively due to the large values of J_B and the small value ofΩ_B of the defect layers.Meanwhile,the dependence of the crossover values of the exchange interaction J a,the transverse GeldΩ_A of the bulk material on the exchange interaction J_B and the transverse fieldΩ_B of the defect layers are shown in 3-Dimensional(3-D) figures for the first time.Moreover,the transition features of the ferroelectric thin film with defect layers are presented.
By taking into account the two-spin interaction in the transverse Ising model (TIM), the influence of the defect layers (including J_B and Ω_B) on the polarization and Curie temperature are calculated numerically, within the framework of the decoupling approximation under Green’s function. The numerical results show that the polarization and Curie temperature will both become large sensitively due to the large values of J_B and the small value of Ω_B of the defect layers. Meanwhile, the dependence of the crossover values of the exchange interaction J a, the transverse Geld Ω_A of the bulk material on the exchange interaction J_B and the transverse field Ω_B of the defect layers are shown in 3-Dimensional (3-D) figures for the first time. More over, the transition features of the ferroelectric thin film with defect layers are presented.