论文标题
掺杂的2D钙钛矿与纳米级不均匀性的磁相互作用:晶格非局部效应与superexchange
Magnetic Interaction in Doped 2D Perovskite Cuprates with Nanoscale Inhomogeneity: Lattice Nonlocal Effects vs Superexchange
论文作者
论文摘要
我们已经研究了uperexchange互动$ j_ {ij} $ in Doped $ 2D $ cuprates。 AFM相互作用很大程度上取决于Cuo $ _2 $层的晶格状态,并被两个老挝岩盐层包围。在静态$ u $和$ d $条纹纳米结构中,由于$ u/d/u ... $周期性条纹序列和$ t_n = 0 $,因此不可能均匀的AFM交互。在动态条纹纳米结构中,恢复了具有非本地效果的理想CUO $ _2 $层和均匀的AFM交互。但是,由于部分动态淬火,相互作用$ j_ {ij} $减少了指数因子。从动态到静态案例的过渡的含义在于自发的$θ$ - 对称性,就所有倾斜的CuO $ _6 $ _6 $ contahedra的旋转而折断,其取向角度$Δθ= n \ cdot \ cdot \ cdot \ left({45^\ circ} $ n $ n $ n = $ n = 1 $ n = 1 $ u4 CUO $ _2 $ layer的纳米结构。此外,结构特征有助于研究有关电荷不均匀性的各种实验数据,仅在p型库酸盐中固定的费米水平固定以及从统一的角度从时间逆转对称性中断。
We have studied the superexchange interaction $J_{ij}$ in doped $2D$ cuprates. The AFM interaction strongly depends on the state of the lattice of a CuO$_2$ layer surrounded by two LaO rock salt layers. In a static $U$ and $D$ stripe nanostructure, the homogeneous AFM interaction is impossible due to the $U/D/U...$ periodic stripe sequence and $T_N=0$. In a dynamic stripe nanostructure, the ideal CuO$_2$ layer with nonlocal effects and the homogeneous AFM interaction are restored. However the interaction $J_{ij}$ decreases by the exponential factor due to partial dynamic quenching. The meaning of the transition from the dynamic to the static cases lies into the spontaneous $θ$-symmetry breaking with respect to the rotation of all the tilted CuO$_6$ octahedra by an orientation angle $δθ= n \cdot \left( {45^\circ } \right)$ (where $n=1\div4$) in the $U$ and $D$ stripe nanostructure of the CuO$_2$ layer. Moreover, the structural features help to study various experimental data on the charge inhomogeneity, Fermi level pinning in the p type cuprates only and a time reversal symmetry breaking from a unified point of view.