We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted potential, which are manifested by the appearance of mobility edges between delocalized states and Stark many-body localized states even when the disorder is weak. We can concretely diagnose these transitions rather than crossovers by finite-size scaling of energy-level statistics. Moreover, in the Stark many-body localization, the entanglement entropy obeys the area law scaling, in analogy to that in the conventional many-body localization.

中文翻译：

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Stark多体定位的移动性优势

我们调查一维无序和倾斜晶格中相互作用的无旋费米子的多体定位。费米子在倾斜势的驱动下经历从能量遍历的遍历遍历到斯塔克多体局域化转变，这表现为即使失调状态较弱，在离域态和斯塔克多体局域化态之间也会出现迁移边缘。我们可以通过能量级别统计数据的有限大小缩放来具体诊断这些过渡，而不是交叉。此外，在Stark多体定位中，类似于常规的多体定位，纠缠熵服从面积定律缩放。