论文标题
伪旋转旋转对称性通过库仑相互作用项中的旋转耦合系统中的术语打破
Pseudo-spin rotation symmetry breaking by Coulomb interaction terms in spin-orbit coupled systems
论文作者
论文摘要
通过从纯旋转轨道($ t _ {\ rm 2g} $)转换为旋转轨道纠缠的伪旋转轨道基础,在pseudo-spin Space中研究了不同库仑相互作用项的伪旋转旋转对称性。哈伯德和密度相互作用项是不变的,但hund的耦合和配对的交互项会显式地破坏伪旋转旋转对称性。从库仑交互条款的转换中获得的对称性术语的形式说明了$ x $ - $ y $ $ $平面各向异性和少量差距,以及平面外模式的镁质差距,突出了与名义上非磁性$ j $ = 3/2的近距离效果的名称与非磁性效果的重要性的重要性($ \ rm sr_2 ir o_4 $)和其他$ d^5 $伪旋转化合物。
By transforming from the pure-spin-orbital ($t_{\rm 2g}$) basis to the spin-orbital entangled pseudo-spin-orbital basis, the pseudo-spin rotation symmetry of the different Coulomb interaction terms is investigated under SU(2) transformation in pseudo-spin space. While the Hubbard and density interaction terms are invariant, the Hund's coupling and pair-hopping interaction terms explicitly break pseudo-spin rotation symmetry systematically. The form of the symmetry-breaking terms obtained from the transformation of the Coulomb interaction terms accounts for the easy $x$-$y$ plane anisotropy and magnon gap for the out-of-plane mode, highlighting the importance of mixing with the nominally non-magnetic $J$=3/2 sector, and providing a physically transparent approach for investigating magnetic ordering and anisotropy effects in perovskite ($\rm Sr_2 Ir O_4$) and other $d^5$ pseudo-spin compounds.