准周期多体局域化系统中 Fock 空间传播子的标度
Scaling of Fock space propagator in quasiperiodic many-body localizing systems
AI总结：
本文利用 Fock 空间传播子研究了一维准周期势下的无自旋 Fermion 相互作用系统，通过分析自能和非对角元的标度提取了分形特征与局域化长度，并发现自能涨落可区分准周期与随机系统。
摘要：
近期，多体局域化系统被视为具有关联无序的 Fock 空间晶格上的跳跃问题，其中多体本征态展现出多重分形特征。Fock 空间中的多体传播子已被证明在捕捉这种多重分形性以及提取实空间中具有随机无序系统的 Fock 空间局域化长度方面非常有用。在此，我们利用 Fock 空间传播子研究了存在确定性准周期势的一维无自旋 Fermion 相互作用系统。通过对角元相关的自能随系统尺寸的标度以及传播子非对角元的标度，我们分别提取了分形特征和 FS 局域化长度，它们的行为与随机系统中的情况类似。我们计算了不同势的实现下典型自能和非对角传播子的样本间涨落，并表明自能的涨落能够区分准周期系统与随机系统，而非对角元的涨落无法划定这两类势的界限。
英文摘要：
Recently many body localized systems have been treated as a hopping problem on a Fock space lattice with correlated disorder, where the many-body eigenstates exhibit multi-fractal character. The many-body propagator in Fock space has been shown to be useful for capturing this multifractality and extracting a Fock-space localization length for systems with random disorder in real space. Here we study a one-dimensional interacting system of spinless Fermions in the presence of a deterministic quasiperiodic potential using the Fock-space propagator. From the system-size scaling of the self-energy associated with the diagonal elements and the scaling of the off-diagonal elements of the propagator, we extract fractal characteristics and FS localization lengths, respectively, which behave similarly to that in the random system. We compute the sample-to-sample fluctuations of the typical self-energy and the off-diagonal propagator over different realizations of the potential and show that the fluctuations in the self-energy distinguish quasiperiodic and random systems, whereas the fluctuations of the off-diagonal elements cannot demarcate the two types of potential.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
