论文标题
单向子系统对称性在孔掺杂蜂窝状磁铁磁铁中
Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet
论文作者
论文摘要
我们研究了蜂窝晶格上孔掺杂的共线抗铁磁铁模型，这是实现子系统对称性的途径。我们发现对偶极对称性的几乎精确的保守性在有限簇上用精确的对角（ED）进行了数值验证，并通过扰动理论进行了分析。出现的对称性禁止单个孔（或平地）的运动，但允许孔对（或偶极子）沿系统的抗磁磁方向自由移动；在横向方向上，分形和偶极子都完全定位。这表明了“单向”子系统对称性的实现。通过研究偶极子之间的相互作用，我们认为子系统对称性可能会继续持续到有限（但可能很小）的孔浓度。
We study a model of a hole-doped collinear Ising antiferromagnet on the honeycomb lattice as a route toward the realization of subsystem symmetry. We find nearly exact conservation of dipole symmetry verified both numerically with exact diagonalization (ED) on finite clusters and analytically with perturbation theory. The emergent symmetry forbids the motion of single holes -- or fractons -- but allows hole pairs -- or dipoles -- to move freely along a one-dimensional line, the antiferromagnetic direction, of the system; in the transverse direction, both fractons and dipoles are completely localized. This presents a realization of a `unidirectional' subsystem symmetry. By studying interactions between dipoles, we argue that the subsystem symmetry is likely to continue to persist up to finite (but probably small) hole concentrations.
