论文标题
在存在远距离跳跃和单粒子迁移率的情况下，多体定位不相同
Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
论文作者
论文摘要
我们在Quasiperiodic $ T_1 $ - $ T_2 $模型中研究多体定位（MBL），重点是下一个新的邻居（NNN）的角色，跳上了$ T_2 $，这引入了单粒子移动性边缘。计算出的相图可以分为三个不同的机制，具体取决于短期交互的强度$ u $。对于较弱的互动（$ u \ ll t_1 $），此模型始终是非热的。对于中间相互作用（$ u \ sim t_1 $），该模型中的热-MBL相变在质量上与Aubry-Andre（AA）模型的热量相同，该模型与现有的实验观测一致。对于强烈的互动$（u \ gg t_1）$，NNN跳跃会产生定性的物理学，因为它会破坏AA模型中存在的Hilbert空间碎片。因此，当相互作用中间而与强相互作用有关时，NNN跳跃是无关紧要的。
We study many-body localization (MBL) in the quasiperiodic $t_1$-$t_2$ model, focusing on the role of next-nearest-neighbor (NNN) hopping $t_2$, which introduces a single-particle mobility edge. The calculated phase diagram can be divided into three distinct regimes, depending on the strength of the short-range interaction $U$. For weak interactions ($U\ll t_1$), this model is always nonthermal. For intermediate interactions ($U\sim t_1$), the thermal-MBL phase transition in this model is qualitatively the same as that of the Aubry-Andre (AA) model, which is consistent with existing experimental observations. For strong interactions $(U\gg t_1)$, the NNN hopping produces qualitatively new physics because it breaks down the Hilbert space fragmentation present in the AA model. The NNN hopping is thus irrelevant when the interaction is intermediate but relevant for strong interactions.
