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arXiv 2005.03928cond-mat.str-elcond-mat.stat-mech
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矩形格子自旋1/2海森堡反铁磁体的交错磁通态

Staggered-flux state for rectangular-lattice spin 1/2 Heisenberg antiferromagnet

N. E. Shaik, B. Dalla Piazza, D. A. Ivanov, H. M. Rønnow

摘要:

本文利用Gutzwiller投影变分波函数(称为交错通量态)研究了矩形晶格上自旋为1/2的海森堡模型。用Monte Carlo方法计算了不同耦合各向异性$γ=J_y/J_x$的变分参数和静态自旋结构因子。我们观察到一个逐渐演变的基态能量向一个值,这是非常接近的一维估计提供的Bethe anterior和一个很好的协议之间的有限尺寸标度的能量。自旋-自旋关联函数随各向异性指数的变化呈现幂律衰减。虽然Néel阶的缺乏使得在对称情形$γ=1$中交错通量态在能量上是不利的,但它似乎捕捉到了接近1D的系统的本质。因此,我们相信交错通量态提供了一个有趣的起点,探索从量子无序链到Néel有序二维正方晶格的交叉。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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