论文标题
磁场和化学电位对$α$ - $ {\ cal t} _3 $ lattice中Rkky互动的影响
Effect of magnetic field and chemical potential on the RKKY interaction in the $α$-${\cal T}_3$ lattice
论文作者
论文摘要
间接交换或Ruderman-kittel-kasuva-yosida（rkky）的相互作用能量在$α$ - $ {\ cal t} _3 $模型的磁性旋转之间的相互作用是使用线性响应理论计算的。在此模型中，$ \ texttt {ab} $ - 蜂窝晶格结构在六角形晶格中心补充了$ \ texttt {c} $原子。这引入了一个参数$α$，即跳跃积分与枢纽与rim的比率以及六角形晶格的边缘。山谷和$α$依赖性的智障绿色功能矩阵用于形成易感性。当化学势是有限的并且在存在施加的磁场的情况下，未掺杂的$α$ - $ {\ cal t} _3 $获得了分析和数值结果。当将磁性杂质放置在$ \ texttt {a，b} $和$ \ texttt {c} $ sublattice网站上时，我们证明了这些结果的各向异性。此外，比较$α$ - $ {\ cal t} _3 $的易感性的行为与石墨烯的比较表明，相位过渡为$α= 0 $。
The interaction energy for the indirect-exchange or Ruderman-Kittel-Kasuva-Yosida (RKKY) interaction between magnetic spins localized on lattice sites of the $α$-${\cal T}_3$ model is calculated using linear response theory. In this model, the $\texttt{AB}$-honeycomb lattice structure is supplemented with $\texttt{C}$ atoms at the centers of the hexagonal lattice. This introduces a parameter $α$ for the ratio of the hopping integral from hub-to-rim and that around the rim of the hexagonal lattice. A valley and $α$-dependent retarded Greens function matrix is used to form the susceptibility. Analytic and numerical results are obtained for undoped $α$-${\cal T}_3$, when the chemical potential is finite and also in the presence of an applied magnetic field. We demonstrate the anisotropy of these results when the magnetic impurities are placed on the $\texttt{A,B}$ and $\texttt{C}$ sublattice sites. Additionally, comparison of the behavior of the susceptibility of $α$-${\cal T}_3$ with graphene shows that there is a phase transition at $α=0$.
