论文标题
在二维安德森 - 哈伯德模型中没有两体）离域转变
Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
论文作者
论文摘要
我们研究了安德森在二维（2D）无序晶格中移动的两个颗粒的定位，并通过接触相互作用耦合。基于针对相对较大的条状网格的传输 - 振幅计算，我们发现所有配对状态均位于无限尺寸的晶格中。特别是，我们表明先前对相互作用引起的迁移率边缘的主张会受到严重的有限尺寸效应的偏见。零总能对的定位长度表现出非单调行为与相互作用强度的函数，其特征在于弱相互作用方案中的指数增强。我们的发现还表明，无论粒子的（骨或费米子）量子统计量如何，2D Anderson-Hubbard模型的多体迁移率在零密度极限内消失。
We investigate Anderson localization of two particles moving in a two-dimensional (2D) disordered lattice and coupled by contact interactions. Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find that all pair states are localized in lattices of infinite size. In particular, we show that previous claims of an interaction-induced mobility edge are biased by severe finite-size effects. The localization length of a pair with zero total energy exhibits a nonmonotonic behavior as a function of the interaction strength, characterized by an exponential enhancement in the weakly interacting regime. Our findings also suggest that the many-body mobility edge of the 2D Anderson-Hubbard model disappears in the zero-density limit, irrespective of the (bosonic or fermionic) quantum statistics of the particles.
