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arXiv 2201.10570cond-mat.str-el
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磁化自旋- $1/2$链中自旋相互作用的流体动力学

Hydrodynamics of interacting spinons in the magnetized spin-$1/2$ chain with the uniform Dzyaloshinskii-Moriya interaction

Ren-Bo Wang, Anna Keselman, Oleg A. Starykh

摘要:

利用流体动力学方法研究了具有均匀Dzyaloshinskiii-Moriya(DM)相互作用的反铁磁自旋- $1/2$海森堡链在外加磁场作用下的动态自旋磁化率.我们发现,横向(相对于磁场)自旋磁化率窝藏两个(分别,三个)自旋激发模式时,磁场是平行的(分别,正交)DM轴。在所有情况下,自旋子之间的边缘无关的反向散射相互作用在$k = 0$处的激发的光学分支之间产生有限的能量分裂。此外,对于正交几何,两个较低的自旋分支表现出避免交叉在有限的动量,这是由总磁场(外部和内部分子场的总和)作用于自旋子。我们的近似分析计算比较以及使用矩阵产品状态(MPS)技术获得的数值结果。详细讨论了电子自旋共振实验结果的物理后果。

英文摘要:

We use a hydrodynamic approach to investigate dynamic spin susceptibility of the antiferromagnetic spin-$1/2$ Heisenberg chain with a uniform Dzyaloshinskii-Moriya (DM) interaction in the presence of an external magnetic field. We find that transverse (with respect to the magnetic field) spin susceptibility harbors two (respectively, three) spin excitation modes when the magnetic field is parallel (respectively, orthogonal) to the DM axis. In all cases, the marginally irrelevant backscattering interaction between the spinons creates a finite energy splitting between optical branches of excitations at $k = 0$. Additionally, for the orthogonal geometry, the two lower spin branches exhibit avoided crossing at finite momentum which is determined by the total magnetic field (the sum of the external and internal molecular fields) acting on spinons. Our approximate analytical calculations compare well with numerical results obtained using matrix-product-state (MPS) techniques. Physical consequences of our findings for the electron spin resonance experiments are discussed in detail.

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