Quantum transport in a one-dimensional flux rhombic lattice

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.