论文标题
Spin-1/2 Heisenberg抗铁磁铁的张量网络研究Shuriken晶格
Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
论文作者
论文摘要
我们研究了Shuriken晶格上的自旋$ s = 1/2 $ HEISENBERG抗铁磁铁的基态，也是在外部磁场的情况下。为此，我们采用二维张量网络技术，基于无限投影的纠缠对和单纯形状态，考虑具有不同尺寸的单位单元的状态。我们表明，随着基态（在任何给定的有限键尺寸下）的均匀六个回路的谐振晶体产生，该基态估计的估算态$ e_0/j = -0.4410 \ pm 0.0001 $ pm 0.0001 $均在热力学极限中估计。我们还在存在外部磁场的情况下研究该模型，并发现出现$ 0 $，$ 1/3 $和$ 2/3 $磁化高原的出现，其尊重翻译和点组对称性的状态具有循环四分之二的plaquette resonances。
We investigate the ground state of the spin $S=1/2$ Heisenberg anti-ferromagnet on the Shuriken lattice, also in the presence of an external magnetic field. To this end, we employ two-dimensional tensor network techniques based on infinite projected entangled pair and simplex states considering states with different sizes of the unit cells. We show that a valence bond crystal with resonances over length six loops emerges as the ground state (at any given finite bond dimension) yielding the lowest reported estimate of the ground state energy $E_0/J = -0.4410 \pm 0.0001$ for this model, estimated in the thermodynamic limit. We also study the model in the presence of an external magnetic field and find the emergence of $0$, $1/3$ and $2/3$ magnetization plateaus with states respecting translation and point group symmetries that feature loop-four plaquette resonances instead.
