论文标题
通过真实空间和Fock空间激发的非连续性扩展状态和许多身体定位效果的诊断
Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
论文作者
论文摘要
我们在相互作用的Quasiperiodic System中提供了真实的空间和Fock空间（FS）表征，即具有概括的Aubry-André-Harper模型，在非连接极限中具有迁移率。我们表明，即使在NEE阶段存在相互作用的情况下，单粒子（SP）激发中的迁移率也可以生存。相比之下，由于MBL接近效应，所有SP激发都在MBL相位定位。我们通过分别与局部和非本地FS繁殖器相关的局部FS自我能量和衰减长度来对NEE状态与Ergodic和MBL状态的区别进行补充见解。基于对整个NEE到Ergodic转变的典型局部自能源能源的有限尺寸缩放分析，我们表明MBL和NEE状态在质量上具有相似的多型特征。但是，我们发现NEE和MBL状态可以通过FS中非本地传播器的衰减来区分，而典型的局部FS自能源无法分裂。
We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic system, namely generalized Aubry-André-Harper model, which possesses a mobility edge in the non-interacting limit. We show that a mobility edge in the single-particle (SP) excitations survives even in the presence of interaction in the NEE phase. In contrast, all SP excitations get localized in the MBL phase due to the MBL proximity effect. We give complementary insights into the distinction of the NEE states from the ergodic and MBL states by computing local FS self-energies and decay length associated, respectively, with the local and the non-local FS propagators. Based on a finite-size scaling analysis of the typical local self-energy across the NEE to ergodic transition, we show that MBL and NEE states exhibit qualitatively similar multifractal character. However, we find that the NEE and MBL states can be distinguished in terms of the decay of the non-local propagator in the FS, whereas the typical local FS self-energy cannot tell them apart.
