论文标题
Shastry-Sutherland模型的大规模数值基准化研究
Large-Scale Numerical-Diagonalization Study of the Shastry-Sutherland Model
论文作者
论文摘要
$ s = 1/2 $ heisenberg抗fiferromagnet在正交二聚体晶格（Shastry-Sutherland模型）上通过兰开斯对角化方法研究。该模型的属性取决于两个交互的比率，即$ r = j_2/j_1 $，其中$ j_1 $表示正交二聚体处旋转相互作用的幅度，而由$ j_2 $表示的相互作用形成了Square Lattice。我们将注意力集中在二聚体状态被实现为确切基态的阶段边缘上。我们对对角线化的大规模计算处理有限大小的簇，包括44个和48个自旋位点，成功地检测了目标边缘。我们的结论是，边缘的比率为$ r = 0.6754（2）$。该估计值与电子自旋共振测量结果的实验结果进行了比较。
The $S=1/2$ Heisenberg antiferromagnet on the orthogonal-dimer lattice (Shastry-Sutherland model) is studied by the Lanczos diagonalization method. The properties of this model are determined by the ratio of two interactions, namely, $r=J_2/J_1$, where $J_1$ denotes the amplitude of spin interactions at orthogonal dimers and the interactions represented by $J_2$ form the square lattice. We focus our attention on the edge of the phase in which the dimer state is realized as the exact ground state. Our large-scale calculations of diagonalizations treating finite-size clusters including 44 and 48 spin sites successfully detect the target edge. Our conclusion is that the ratio for the edge is $r= 0.6754(2)$. This estimate is compared with an experimental result from electron spin resonance measurements.
