论文标题
沿量子临界磁铁的悬空边缘的自旋与键相关性
Spin vs. bond correlations along dangling edges of quantum critical magnets
论文作者
论文摘要
二维量子临界抗铁磁铁的悬空边缘旋转表现出强烈增强的自旋相关性，缩放尺寸落在表面关键现象的经典理论之外。我们为圆柱二聚体模型的情况下的自旋和键相关函数提供了大规模的量子蒙特卡洛结果。与自旋相关性不同，我们发现键相关性在旋转1/2和自旋1情况下截然不同。此外，我们将相应的缩放维度与最近的理论预测进行了比较。这些预测部分由我们的数值数据支持，但不能完全解释我们的发现。因此，我们的结果对完成对悬空边缘相关性的理解以及一般密切相关的量子系统的表面现象产生了进一步的限制。
Dangling edge spins of two-dimensional quantum critical antiferromagnets display strongly enhanced spin correlations with scaling dimensions that fall outside of the classical theory of surface critical phenomena. We provide large-scale quantum Monte Carlo results for both spin and bond correlation functions for the case of the columnar dimer model in particular. Unlike the spin correlations, we find the bond correlations to differ starkly between the spin-1/2 and spin-1 case. Furthermore, we compare the corresponding scaling dimensions to recent theoretical predictions. These predictions are, in part, supported by our numerical data, but cannot explain our findings completely. Our results thus put further constraints on completing the understanding of dangling edge correlations, as well as surface phenomena in strongly-correlated quantum systems in general.
