论文标题
交替旋转中的经典性 - $ \ frac {1} {2} $/spin- $ 1 $链，在下一步的邻近耦合和dzyaloshinskii-moriya互动的情况下
Loss of classicality in alternating spin-$\frac{1}{2}$/spin-$1$ chain, in the presence of next-neighbor couplings and Dzyaloshinskii-Moriya interactions
论文作者
论文摘要
我们已经考虑并与最近的邻居（$ j_1 $）交流并交替交替使用二进入邻居（$ j_2 $）的反铁磁性耦合以及dzyaloshinskii-moriya（dm）（$ d_z $）的Z-Component。使用（a）线性自旋波理论（LSWT）和（b）密度基质重质化组（DMRG）对哈密顿量进行了研究。仅当存在最近的邻居交换相互作用时，该系统才以前作为经典的Ferrimagnet报道。抗铁磁的下一个最新邻居相互作用和DM相互作用都引入了强大的量子波动，因此，铁磁性的所有特征都消失了。我们发现，非零$ J_2 $在每个自旋位点引入了强量子波动，因此，Spin-1和Spin-1/2位点的Z组件平均为零。基础状态变成了单线。 $ j_1 $以及$ d_z $的存在引入了短距离顺序，但沿XY平面开发了远距离顺序。 $ j_1 $以及$ J_2 $的结构因子呈现尖锐和宽的峰值，以两个不同的角度以不同的角度以及在基础晶格中反映了旋转的螺旋结构。有趣的是，我们发现$ d_z $项在xy平面中开发螺旋顺序时，以z方向删除了局部旋转螺旋结构。
We have considered and alternating Heisenberg spin chain with nearest-neighbor ($J_1$), next-nearest neighbor ($J_2$) antiferromagnetic couplings along with z-component of the Dzyaloshinskii-Moriya(DM) ($D_z$) interactions. The Hamiltonian has been studied using (a) Linear Spin-Wave Theory(LSWT) and (b) Density Matrix Renormalization Group (DMRG). The system had been reported earlier as a classical ferrimagnet only when nearest neighbor exchange interactions are present. Both the antiferromagnetic next-nearest neighbor interactions and DM interactions introduce strong quantum fluctuations and due to which all the signatures of ferrimagnetism vanishes. We find that the nonzero $J_2$ introduces strong quantum fluctuations in each of the spin sites due to which the z-components of both spin-1 and spin-1/2 sites average out to be zero. The ground state becomes a singlet. The presence of $J_1$ along with $D_z$ introduces a short range order but develops long range order along the XY plane. $J_1$ along with $J_2$ induces competing phases with structure factor showing sharp and wide peaks, at two different angles reflecting the spin spiral structure locally as well as in the underlying lattice. Interestingly, we find that the $D_z$ term removes the local spin spiral structure in z-direction, while developing a spiral order in the XY plane.
