论文标题
矩形晶格旋转1/2的交错升华状态
Staggered-flux state for rectangular-lattice spin 1/2 Heisenberg antiferromagnet
论文作者
论文摘要
我们使用Gutzwiller投影的变分波函数称为交错通量状态，研究了矩形晶格上的Spin-1/2海森贝格模型。使用蒙特卡洛技术，计算了不同耦合各向异性的变异参数和静态自旋结构因子$γ= j_y/j_x $。我们观察到基态能量逐渐发展到一个非常接近伯特·安萨兹（Bethe Ansatz）提供的一维估计值以及能量尺寸缩放之间的良好一致性的值。自旋旋转相关函数表现出具有不同各向异性指数的幂律衰减。尽管缺乏néel秩序使在对称情况下$γ= 1 $的交错磁通状态在能量上不利，但它似乎捕获了接近1d的系统的本质。因此，我们认为交错的通量状态提供了一个有趣的起点，可以探索从量子无序链到内尔有序的2D平方晶格的交叉。
We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static spin-structure factor for different coupling anisotropies $γ=J_y/J_x$ are calculated. We observe a gradual evolution of the ground state energy towards a value which is very close to the 1D estimate provided by the Bethe ansatz and a good agreement between the finite size scaling of the energies. The spin-spin correlation functions exhibit a power-law decay with varying exponents for different anisotropies. Though the lack of Néel order makes the staggered flux state energetically unfavorable in the symmetric case $γ=1$, it appears to capture the essence of the system close to 1D. Hence we believe that the staggered flux state provides an interesting starting point to explore the crossover from quantum disordered chains to the Néel ordered 2D square lattices.
