标题： 非厄米多极子皮肤效应挑战局域化 显示英文标题

标题： Non-Hermitian Multipole Skin Effects Challenge Localization

摘要： 我们研究淬火无序对保守U(1)电荷及其相关多极矩的非厄米皮肤效应的影响。 特别是，我们将哈塔诺-内尔森关于具有非互易跳跃的无序系统中的安德森转变的论点推广到相互作用的情况。 当仅保守U(1)电荷时，我们表明存在一个从皮肤效应相到多体局域相的转变，在皮肤效应相中电荷被局域在边界上，在多体局域相中电荷被局域在随机位置。 在周期性边界条件下，皮肤效应让位于具有单向电流的扩展相。 如果还保守如偶极子之类的额外多极矩，我们表明无论无序量如何，非厄米皮肤效应都保持稳定。 因此，在周期性边界条件下，无论无序强度如何，系统始终是扩展的。 显示英文摘要

摘要： We study the effect of quenched disorder on the non-Hermitian skin effect in systems that conserve a U(1) charge and its associated multipole moments. In particular, we generalize the Hatano-Nelson argument for an Anderson transition in a disordered system with non-reciprocal hopping to the interacting case. When only U(1) charge is conserved, we show that there is a transition between a skin effect phase, in which charges are localized at a boundary, and a many-body localized phase, in which the charges are localized at random positions. In periodic boundary conditions, the skin effect gives way to a delocalized phase with a unidirectional current. If additional multipole moments like dipoles are conserved, we show that the non-Hermitian skin effect remains stable for any amount of disorder. As a result, under periodic boundary conditions, the system is always delocalized regardless of disorder strength.