论文标题
XXZ自旋链中幂律相关性疾病的影响:多体定位于热相变及其关键状态
Effects of power-law correlated disorders in XXZ spin chain: Many-body localized to thermal phase transition and its critical regime
论文作者
论文摘要
我们研究具有幂律相关性疾病的规范多体积定位(MBL)系统:$ s = \ frac {1} {2} {2} $在随机磁场中旋转链。与法律相关的疾病可以通过改变其指数来控制MBL和热(Ergodic)阶段之间的临界状态,并让我们详细研究MBL的转变。通过数值方法研究具有各种长距离相关性的系统,研究了MBL的静态元素和动态特性。通过使用参与比(PR)的能量分辨分布并计算与定位长度相关的一些物理量,我们表明MBL过渡表现出某些普遍行为。我们还研究了静态和动力学系统的纠缠属性。这些研究阐明了幂律相关疾病在规范MBL系统中的影响。
We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal (ergodic) phases by varying its exponent, and it let us investigate the MBL transitions in detail. Static-eigenstate and dynamic properties of MBL are studied by numerical methods for systems with various long-range correlations. By using energy-resolved distribution of the participation ratio (PR) and calculating some physical quantities related to localization length, we show that the MBL transition exhibits certain universal behavior. We also investigate entanglement properties for the static and dynamics system. These studies elucidate the impact of power-law-correlated disorders in the canonical MBL system.