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arXiv 2202.09077cond-mat.str-el
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经典Kagome晶格Heisenberg反铁磁体中自旋-晶格耦合诱导的向列性和分数磁化平台

Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet

Masaki Gen, Hidemaro Suwa

摘要:

利用改进的蒙特卡罗方法研究了自旋-晶格耦合对经典kagome晶格海森堡反铁磁体磁性的影响。晶格模式由爱因斯坦位置声子表示,除了最近邻双二次相互作用之外,它还引入了有效的更远邻自旋相互作用。在弱SLC中,宏观简并共面基态保持在零场,而$\sqrt{3} \times \sqrt{3}$有序相伴随着1/3磁化平台出现在外部磁场。在强SLC中,我们发现了一个在零磁场下的1/9级和一个与$3 \times 3$共线级相关的1/9磁化平台。在1/9-和1/3-平台态之间的相变附近,单自旋翻转中的遍历性实际上被打破,并且出现慢动力学。我们建议,相关的KHAF与强大的SLC将实现在尖晶石基材料。

英文摘要:

We investigate the effect of spin-lattice coupling (SLC) on the magnetic properties of the classical kagome-lattice Heisenberg antiferromagnet (KHAF) using improved Monte Carlo updates. The lattice modes are represented by Einstein site phonons, which introduce effective further-neighbor spin interactions in addition to the nearest-neighbor biquadratic interactions. In the weak SLC, the macroscopically degenerate coplanar ground state remains at zero field, while a $\sqrt{3} \times \sqrt{3}$ ordered phase accompanied by a 1/3-magnetization plateau appears in external magnetic fields. In the strong SLC, we find a nematic order at zero field and a 1/9-magnetization plateau associated with a $3 \times 3$ collinear order. Near the phase transition between the 1/9- and 1/3-plateau states, the ergodicity in the single spin flip is practically broken, and slow dynamics appear. We propose that relevant KHAFs with strong SLC would be realized in spinel-based materials.

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