We analyse stationary current of the bosonic particles in a flux rhombic lattice connecting two particle reservoirs. For vanishing interparticle interactions the current is shown to monotonically decrease as the flux is increased and become strictly zero for the Peierls phase equal to π. Nonzero interactions modify this dependence and for moderate interaction strength the current is found to be independent of the flux value.

中文翻译：

---

一维通量菱形晶格中的量子输运

我们分析了连接两个粒子库的通量菱形晶格中玻色子粒子的固定电流。对于消失的粒子间相互作用，电流显示为随着通量增加而单调减少，并且对于等于 π 的 Peierls 相严格为零。非零相互作用修正了这种依赖性，对于中等相互作用强度，发现电流与通量值无关。