Fixed Points of Wegner-Wilson Flows and Many-Body Localization.
Fixed Points of Wegner-Wilson Flows and Many-Body Localization.
复制标题
韦格纳-威尔逊流的不动点和多体定位。
DOI：
--
复制
发表时间：
2016
影响因子：
8.6
通讯作者：
G. Refael
中科院分区：
文献类型：
--
作者：
D. Pekker;B. Clark;V. Oganesyan;G. Refael
多体局域化（MBL）是物质的一个阶段，其特征是不存在热化。大量局域量子数的动态生成已被确定为该相的一个关键特征，很可能是热化分解和相变本身的微观机制。我们基于 Wegner-Wilson flow (WWF) 重整化制定了一个强大的算法，用于计算这些守恒量及其相互作用。我们提出了后者存在不同定点分布的证据：遍历阶段中的类高斯白噪声分布、MBL 阶段中的 1/f 定律以及过渡状态中的无标度分布。
Many-body localization (MBL) is a phase of matter that is characterized by the absence of thermalization. Dynamical generation of a large number of local quantum numbers has been identified as one key characteristic of this phase, quite possibly the microscopic mechanism of breakdown of thermalization and the phase transition itself. We formulate a robust algorithm, based on Wegner-Wilson flow (WWF) renormalization, for computing these conserved quantities and their interactions. We present evidence for the existence of distinct fixed point distributions of the latter: a Gaussian white-noise-like distribution in the ergodic phase, a 1/f law inside the MBL phase, and scale-free distributions in the transition regime.