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arXiv 1701.01465cond-mat.str-el
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Dzyaloshinskiii-Moriya相互作用下弱耦合海森堡自旋链的Phase diagram

Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction

Wen Jin, Oleg A. Starykh

摘要:

受最近对自旋链材料KPDMATHABMM CuSO $_4$ Cl $_2$和KPDMATHABMM CuSO $_4$ Br $_2$的实验的启发,我们从理论上研究了弱耦合自旋链(链交换$J$,链间$J'$)受$\textit{staggered between chains}$影响的问题,但给定链内的$\textit{uniform}$,Dzyaloshinskiii-Moriya(DM)相互作用的大小为$D$。在强DM相互作用的实验相关极限$J' \ll D \ll J$中,相邻链上的自旋被迫沿相反方向旋转,有效地导致在垂直于矢量${\pmb D}$的平面中自旋分量之间的链间相互作用的抵消。这具有促进二维共线自旋密度波(SDW)状态的效果,其保持关于$\pmb D$轴的旋转的U(1)对称性。我们还调查了这个有趣的系统对外磁场${\pmb h}$的响应,并获得了两个重要的配置,${\pmb h} \parallel {\pmb D}$和${\pmb h} \perp {\pmb D}$的$h-D$相图。

英文摘要:

Motivated by recent experiments on spin chain materials K$_2$CuSO$_4$Cl$_2$ and K$_2$CuSO$_4$Br$_2$, we theoretically investigate the problem of weakly coupled spin chains (chain exchange $J$, interchain $J'$) subject to a $\textit{staggered between chains}$, but $\textit{uniform}$ within a given chain, Dzyaloshinskii-Moriya (DM) interaction of magnitude $D$. In the experimentally relevant limit $J' \ll D \ll J$ of strong DM interaction the spins on the neighboring chains are forced to rotate in opposite directions, effectively resulting in a cancelation of the interchain interaction between components of spins in the plane normal to the vector ${\pmb D}$. This has the effect of promoting two-dimensional collinear spin density wave (SDW) state, which preserves U(1) symmetry of rotations about the $\pmb D$-axis. We also investigate response of this interesting system to an external magnetic field ${\pmb h}$ and obtain the $h-D$ phase diagrams for the two important configurations, ${\pmb h} \parallel {\pmb D}$ and ${\pmb h} \perp {\pmb D}$.

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