论文标题
TK-SVM在古典Kagome Heisenberg Antiferromagnet中的阶段层次结构上的观点
The view of TK-SVM on the phase hierarchy in the classical kagome Heisenberg antiferromagnet
论文作者
论文摘要
我们说明了如何在经典的Kagome Heisenberg AntiferRomagnet中探测隐藏的多极阶和新兴的局部约束，如何探测隐藏的多极顺序和新兴的局部约束。我们表明，TK-SVM以无监督的方式学习有限温度相图。此外，由于其强大的可解释性，它标识了张力四边形和八度级别的订单，该级别定义了双轴$ d_ {3h} $ spin nematic，以及局部约束，其构成了Coplanar状态的选择。然后，我们讨论这些阶段的疾病层次结构，可以从分析顺序参数和SVM偏置参数中推断出来。为了完整性，我们提到该机器还可以在偶极通道在非常低的温度下拾取领先的$ \ sqrt {3} \ times \ sqrt {3} $相关性，但是与四极性和八度级别和八度级别相比，这是较弱的。我们的工作表明了TK-SVM如何促进和加快对经典挫败磁铁的分析。
We illustrate how the tensorial kernel support vector machine (TK-SVM) can probe the hidden multipolar orders and emergent local constraint in the classical kagome Heisenberg antiferromagnet. We show that TK-SVM learns the finite-temperature phase diagram in an unsupervised way. Moreover, in virtue of its strong interpretability, it identifies the tensorial quadrupolar and octupolar orders, which define a biaxial $D_{3h}$ spin nematic, and the local constraint that underlies the selection of coplanar states. We then discuss the disorder hierarchy of the phases, which can be inferred from both the analytical order parameters and a SVM bias parameter. For completeness we mention that the machine also picks up the leading $\sqrt{3} \times \sqrt{3}$ correlations in the dipolar channel at very low temperature, which are however weak compared to the quadrupolar and octupolar orders. Our work shows how TK-SVM can facilitate and speed up the analysis of classical frustrated magnets.
