论文标题
在安德森 - 哈伯德模型中的两体迁移率在三个维度上：分子与散射状态
Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
论文作者
论文摘要
我们对疾病诱导的金属绝缘体转变的大多数定量理解都来自对简单非相互作用的紧密结合模型的数值研究，例如三个维度的安德森模型。一个重要的杰出问题是在存在粒子之间强度$ u $的其他哈伯德相互作用的情况下，安德森过渡的命运。基于大规模数字，我们计算了两个相同玻色子或两个带有相反自旋组件的系统的系统的移动边缘位置。相互作用 - 能量空间中所得的相图具有非常丰富且违反直觉的结构，具有多个金属和绝缘阶段。我们表明，这种现象源于以给定能量$ e $和无序力量$ W $的分子或散射状态的分子或散射性质。还研究了这对有效模型状态的无序平均密度。最后，我们讨论了结果对正在进行的多体定位研究的含义。
Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem is the fate of the Anderson transition in the presence of additional Hubbard interactions of strength $U$ between particles. Based on large-scale numerics, we compute the position of the mobility edge for a system of two identical bosons or two fermions with opposite spin components. The resulting phase diagram in the interaction-energy-disorder space possesses a remarkably rich and counterintuitive structure, with multiple metallic and insulating phases. We show that this phenomenon originates from the molecular or scattering-like nature of the pair states available at given energy $E$ and disorder strength $W$. The disorder-averaged density of states of the effective model for the pair is also investigated. Finally, we discuss the implications of our results for ongoing research on many-body localization.
