Abstract We studied the bilayer heterostructures with the different consequence of the Ba0.4Sr0.6TiO3 and Ba0.8Sr0.2TiO3 layers grown on the single-crystal MgO and Si substrates. The thermodynamic theory for the heterostructures was developed. Based on the experimental data, we determined the thermal deformation parameters in the Ba0.4Sr0.6TiO3 and Ba0.8Sr0.2TiO3 layers, forming the bilayer structures. These parameters are used to plot the temperature dependence of the soft modes in each layer.

中文翻译：

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双层 (Ba,Sr)TiO3/(Ba,Sr)TiO3 异质结构中的软模式行为

摘要 我们研究了在单晶MgO 和Si 衬底上生长的Ba0.4Sr0.6TiO3 和Ba0.8Sr0.2TiO3 层的不同结果的双层异质结构。开发了异质结构的热力学理论。根据实验数据，我们确定了 Ba0.4Sr0.6TiO3 和 Ba0.8Sr0.2TiO3 层的热变形参数，形成了双层结构。这些参数用于绘制每一层中软模式的温度依赖性。