论文标题
在二维挫折量子磁铁中表征随机单词状态，及其对双重钙钛矿Sr $ _2 $可爱$ _ {1-x} $ w $ _ {x} $ $ $ $ _6 $
Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr$_2$CuTe$_{1-x}$W$_{x}$O$_6$
论文作者
论文摘要
通过对化合物中非磁相的实验观察，我们研究了带有随机分布的离随机分布最近的neighbor $ J_1 $和Next-Neartest-Neighbor $ J_2 $ j_2 $ couplings的旋转状态。通过在圆周系统上使用密度矩阵重新归一化组（DMRG）计算，圆周$ 10 $晶格位点，我们在存在强键随机性的情况下确定了Néel和Stripe磁相之间的无序相和条纹磁相之间的无序相。消失的自旋冻结参数表明没有自旋玻璃顺序。大规模的DMRG结果揭示了自旋冻结参数的尺寸尺寸尺寸缩放行为，平均自旋相关的幂律衰减以及典型自旋相关的指数衰变，这些衰减都与一维随机单曲（RS）状态（RS）状态的相应行为一致，并表征此无序阶段的RS。 DMRG模拟还提供了见解和机会，以表征有二维挫折磁铁中的一类非磁性状态。我们还与现有实验进行了比较，并提出了更多的测量，以了解双流动性的行为，double perovskite sr $ _2 $可爱$ _ {1-x} $ w $ _ {x} $ o $ $ _6 $。
Motivated by experimental observation of the non-magnetic phase in the compounds with frustration and disorder, we study the ground state of the spin-$1/2$ square-lattice Heisenberg model with randomly distributed nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ couplings. By using the density matrix renormalization group (DMRG) calculation on cylinder system with circumference up to $10$ lattice sites, we identify a disordered phase between the Néel and stripe magnetic phase with growing $J_2 / J_1$ in the presence of strong bond randomness. The vanished spin-freezing parameter indicates the absence of spin glass order. The large-scale DMRG results unveil the size-scaling behaviors of the spin-freezing parameter, the power-law decay of the average spin correlation, and the exponential decay of the typical spin correlation, which all agree with the corresponding behavior in the one-dimensional random singlet (RS) state and characterize the RS nature of this disordered phase. The DMRG simulation also provides insights and opportunities for characterizing a class of non-magnetic states in two-dimensional frustrated magnets with disorder. We also compare with existing experiments and suggest more measurements for understanding the spin-liquid-like behaviors in the double perovskite Sr$_2$CuTe$_{1-x}$W$_{x}$O$_6$.
