具有次近邻相互作用的完全阻挫海森堡自旋1/2阶梯模型的多体局域化性质
Many-body localization properties of fully frustrated Heisenberg spin-1/2 ladder model with next-nearest-neighbor interaction
AI总结：
本研究探讨了具有次近邻相互作用的完全阻挫海森堡自旋1/2阶梯模型的多体局域化性质，发现其临界点为$w_2 \sim 10.5 \pm 0.5$，存在多体迁移率边，且连续二阶相变比Kosterlitz-Thouless型相变更适合解释该模型的MBL相变。
摘要：
多体局域化（MBL）是一种由相互作用和无序相互作用引起的引人入胜的物理现象，它允许量子系统避免热化。在本研究中，我们研究了沿腿方向具有次近邻跃迁相互作用的完全阻挫海森堡自旋1/2阶梯模型的MBL性质，并将其与具有次近邻跃迁相互作用的海森堡自旋1/2单链模型进行了比较。我们利用随机矩阵理论探索了MBL相变，并研究了纠缠熵及其方差的特性。结果表明，对于单链模型，临界点 $w _{1} \sim$ 7.5 $\pm$ 0.5，而对于阻挫阶梯模型，$w _{2} \sim$ 10.5 $\pm$ 0.5。此外，我们观察到阻挫阶梯模型中存在多体迁移率边。我们还研究了阻挫阶梯模型的动力学性质，并在局域相中识别出纠缠熵的对数增长、初始信息的高保真度以及磁性局域化现象。最后，我们探讨了两种模型的有限尺寸标度。我们的研究结果表明，对于我们的两个模型，将MBL相变解释为连续二阶相变比Kosterlitz-Thouless型相变能产生更好的标度解，并且与单链模型相比，这种差异在阻挫阶梯模型中更为显著。
英文摘要：
Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully frustrated Heisenberg spin-1/2 ladder model with next-nearest-neighbor hopping interaction along the leg direction and compare it with the Heisenberg spin-1/2 single-chain model with next-nearest-neighbor hopping interaction. We explore the MBL transition using random matrix theory and study the characteristics of entanglement entropy and its variance. Our results show that for the single-chain model, the critical point $w _{1} \sim$ 7.5 $\pm$ 0.5, whereas for the frustrated ladder model, $w _{2} \sim$ 10.5 $\pm$ 0.5. Moreover, we observe the existence of a many-body mobility edge in the frustrated ladder model. We also investigate the dynamical properties of the frustrated ladder model and identify the logarithmic growth of entanglement entropy, high fidelity of initial information, and magnetic localization phenomenon in the localized phase. Finally, we explore the finite-size scaling of the two models. Our findings suggest that interpreting MBL transition as a continuous second-order phase transition yields a better scaling solution than the Kosterlitz-Thouless type transition for our two models, and this difference is more pronounced in the frustrated ladder model compared with the single-chain model.
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