论文标题
$ s = 1 $ pyrochlore antiferromagnet中增强对称性的趋势
Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
论文作者
论文摘要
我们使用两种互补的数值方法，密度 - 矩阵恢复归一化组（DMRG）和Pseudofermion官能重新分配组（PFFRG）研究了最近邻居$ s = 1 $ pyrochlore Heisenberg抗fiferromagnet的地面特性。在DMRG中，我们能够通过保持20 000 SU（2）状态来可靠地研究具有多达48次旋转的簇。研究的32个位点和48个位点簇都显示了稳健的$ C_3 $旋转对称性的旋转对称性破坏地面自旋相关性，而48位群集还具有反转对称性破坏。我们对各种对称性扰动的PFFRG分析证实了$ C_3 $或组合的$ C_3 $/INTREVERION对称对称性破坏的发现。此外，在这两种方法中，对称性破坏的趋势似乎都比$ s = 1/2 $系统更为明显。
We investigate the ground-state properties of the nearest-neighbor $S=1$ pyrochlore Heisenberg antiferromagnet using two complementary numerical methods, density-matrix renormalization group (DMRG) and pseudofermion functional renormalization group (PFFRG). Within DMRG, we are able to reliably study clusters with up to 48 spins by keeping 20 000 SU(2) states. The investigated 32-site and 48-site clusters both show indications of a robust $C_3$ rotation symmetry breaking of the ground-state spin correlations and the 48-site cluster additionally features inversion symmetry breaking. Our PFFRG analysis of various symmetry-breaking perturbations corroborates the findings of either $C_3$ or a combined $C_3$/inversion symmetry breaking. Moreover, in both methods the symmetry-breaking tendencies appear to be more pronounced than in the $S=1/2$ system.
