Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model

被引：3

作者：

Stellin, Filippo ^{[1
]}

Orso, Giuliano ^{[1
]}

机构：

[1] Univ Paris, Lab Mat & Phenomenes Quant, CNRS, F-75013 Paris, France

来源：

PHYSICAL REVIEW B | 2020年 / 102卷 / 14期

基金：

欧盟地平线“2020”;

关键词：

2 INTERACTING PARTICLES; METAL-INSULATOR-TRANSITION; MANY-BODY LOCALIZATION; COHERENT PROPAGATION; DIFFUSION; ELECTRONS; SYSTEM; ATOMS;

D O I：

10.1103/PhysRevB.102.144201

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：8

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