论文标题
使用螺旋边界条件的Spin-$ S $ Square-lattice Heisenberg模型的交错磁化的研究
Study of Staggered Magnetization in the Spin-$S$ Square-Lattice Heisenberg Model Using Spiral Boundary Conditions
论文作者
论文摘要
我们提出了一种有效的数值方法，可以使用螺旋边界条件在二维系统中获得局部顺序参数。作为基准，我们首先估计$ s = 1/2 $ xxz海森贝格模型的交错磁化幅度在整个XXZ各向异性范围内通过密度 - 矩阵重质化组技术的幅度。通过将我们的结果与先前的分析和数值研究进行比较，可以证实我们方法的有效性。然后，作为进一步的演示，我们采用我们的方法来从$ s = 1 $到$ s = 6 $获得高速旋转案例的交错磁化。使用系列扩展和自旋波理论验证了获得的结果的准确性。
We propose an efficient numerical method to obtain local order parameter in two-dimensional systems using spiral boundary conditions. As a benchmark, we first estimate the magnitude of staggered magnetization for the $S=1/2$ XXZ Heisenberg model on a square lattice in the whole range of the XXZ anisotropy by density-matrix renormalization group technique. The validity of our method is confirmed by comparing our results with the previous analytical and numerical studies. Then, as further demonstration, we apply our method to obtain the staggered magnetization for the higher-spin cases from $S=1$ to $S=6$. The accuracy of the obtained results is validated using the series expansion and the spin-wave theory.
