弱层间耦合三角晶格反铁磁体的Neel温度和亚晶格磁化强度
The Neel temperature and sublattice magnetization for the stacked triangular-lattice antiferromagnet with a weak interlayer coupling
摘要：
在非线性$σ$模型下，利用重整化群（RG）方法研究了具有层内最近邻交换作用J和层间交换作用J'的三角形晶格上的量子海森堡反铁磁体.当J' << J时，得到了Neel温度$T_{Neel}$和亚晶格磁化强度的渐近公式. RG原来是不足以描述实验数据，因为它没有考虑到$\mathcal{Z}_2$ -涡。因此，$T_{Neel}$使用2D相关长度[10]的蒙特卡罗结果进行估计，该长度在涡旋被激活的温度$T_{KT}$附近具有Kosterlitz型行为。
英文摘要：
The quantum Heisenberg antiferromagnet on the stacked triangular lattice with the intralayer nearest-neighbor exchange interaction J and interlayer exchange J' is considered within the non-linear $σ$-model with the use of the renormalization group (RG) approach. For J' << J the asymptotic formula for the Neel temperature $T_{Neel}$ and sublattice magnetization are obtained. RG turns out to be insufficient to describe experimental data since it does not take into account the $\mathcal{Z}_2$-vortices. Therefore $T_{Neel}$ is estimated using the Monte-Carlo result for the 2D correlation length [10] which has a Kosterlitz-type behavior near the temperature $T_{KT}$ where the vortices are activated.
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