锯齿链中的均匀与交错电极矩
Uniform and Staggered electric axial moment in zigzag chain
AI总结:
本研究通过对称性和微观模型分析,证明锯齿链中奇宇称晶体电场可诱导电极矩的均匀与交错分量,并扩展了电极矩有序态材料的适用范围。
摘要:
我们理论研究了锯齿链系统中不破坏空间反演和时间反演对称性的电极矩电子有序态。特别地,我们基于对称性和微观模型分析,阐明了由局部非中心对称晶格结构产生的局域奇宇称杂化所起的作用。我们证明,奇宇称晶体电场在电偶极子和电环形偶极子(后者对应于电极矩)之间产生有效的叉积耦合。因此,施加外部电场会诱导电极矩的交错分量,而其均匀分量则通过交错电偶极子有序态的出现而诱导。我们还表明,均匀电四极子有序态伴随均匀电极矩出现。此外,我们讨论了具有均匀电极矩有序态导致的横向磁化。我们的结果将展示电极矩有序态的材料范围扩展到具有局部非中心对称晶格结构的材料。
英文摘要:
We theoretically investigate electronic orderings with the electric axial moment without breakings of both spatial inversion and time-reversal symmetries in the zigzag-chain system. Especially, we elucidate the role of the local odd-parity hybridization arising from locally noncentrosymmetric lattice structures based on symmetry and microscopic model analyses. We show that the odd-parity crystalline electric field gives rise to an effective cross-product coupling between the electric dipole and electric toroidal dipole, the latter of which corresponds to the electric axial moment. As a result, the staggered component of the electric axial moment is induced by applying an external electric field, while its uniform component is induced via the appearance of staggered electric dipole ordering. We also show that uniform electric quadrupole ordering accompanies uniform electric axial moment. Furthermore, we discuss transverse magnetization as a consequence of the orderings with the uniform electric axial moment. Our results extend the scope of materials exhibiting electric axial ordering to those with locally noncentrosymmetric lattice structures.
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