论文标题
棋盘组抗fiferromagnet的几乎退化基态及其骨解释
Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
论文作者
论文摘要
$ 1/2 $的自旋模型系统，带有抗磁性（AF）耦合的$ J_1 $ - $ J_2 $ Checkerboard Lattice，称为Planar Pyrochlore型号，非常沮丧，并且与两对一的二维交叉相关联。使用投影的纠缠单纯态张量网络ANSATZ，我们确定了沮丧的地区的大量近年状态（$ j_1 <j_2 $）。具体而言，我们发现长期以来的跨二聚体价债券（VBS）状态在$ j_1 \ lyssim j_2 $处为基态，而各种1D AF相关状态都接管了其余的。我们验证了VBS状态对列扰动的稳定性。相应的骨镜图像对低能物理学提供了直观的理解。特别是，它可以预测较弱的VBS状态在易于平面限制中，我们通过数值确认。我们的结果阐明了这个有趣的系统的最重要的基态特性，并证明了骨镜在处理沮丧的磁性方面的有用性。
The spin-$1/2$ model system with antiferromagnetic (AF) couplings on a $J_1$-$J_2$ checkerboard lattice, known as the planar pyrochlore model, is strongly frustrated and associated with a two-to-one dimensional crossover. Using the Projected Entangled Simplex States tensor network ansatz, we identify a large number of nearly degenerate states in the frustrated region ($J_1<J_2$). Specifically, we find the long-sought crossed-dimer valence bond solid (VBS) state to be the ground state at $J_1\lesssim J_2$, while various 1D AF correlated states take over the rest. We verify the stability of the VBS state against nematic perturbation. The corresponding bosonic picture provides an intuitive understanding of the low-energy physics. Particularly, it predicts weaker VBS states in the easy-plane limit, which we confirm numerically. Our results clarify the most essential ground state properties of this interesting system and demonstrate the usefulness of bosonic picture in dealing with frustrated magnetism.
