The interplay between different degrees of freedom such as charge, spin, orbital, and lattice has received a great deal of interest due to its potential to engineer materials properties and their functionalities for device applications. In this work, we have explored the crystallographic phase diagram of Ba_1-xSr_xMnO₃ and studied the correlation between two degrees of freedom, namely phonons and spins using magnetization and inelastic light scattering measurements. The system undergoes a series of crystallographic phase transitions 2H → 9R → 4H as a function of doping (Sr) as observed by X-ray diffraction measurements. Investigation of their temperature-dependent magnetization reveals a para- to antiferro-magnetic transition for all the compositions. An E_g phonon in the 9R phase and an E_1g phonon in the 4H phase involving Mn/O-vibrations, show anomalous temperature-dependence in the antiferromagnetic phase arising due to spin-phonon coupling.

不同自由度（如电荷、自旋、轨道和晶格）之间的相互作用因其设计材料特性及其在器件应用中的功能的潜力而引起了极大的兴趣。在这项工作中，我们探索了 Ba _1-x Sr _x MnO ₃的晶体相图，并使用磁化和非弹性光散射测量研究了两个自由度（即声子和自旋）之间的相关性。如通过 X 射线衍射测量观察到的，该系统经历了一系列晶体相变 2H → 9R → 4H 作为掺杂 (Sr) 的函数。对它们随温度变化的磁化强度的研究揭示了所有组合物的顺-反铁-磁转变。一个È_克声子在9R相和È _1克在涉及的Mn / O-振动4H相位声子，示出了所产生的由于自旋-声子耦合的反铁磁性相的异常温度依赖性。