Quantum transport in the flux rhombic lattice

TL;DR

This paper investigates how bosonic particles move through a flux rhombic lattice, revealing that interactions and magnetic flux significantly influence the stationary current, with non-interacting particles showing flux-dependent behavior and moderate interactions leading to flux independence.

Contribution

It provides a detailed analysis of stationary current behavior in the flux rhombic lattice, highlighting the effects of interactions and magnetic flux on transport properties.

Findings

Current decreases with flux in the non-interacting case.

Current becomes zero at flux phase of π for non-interacting particles.

Moderate interactions lead to flux-independent current.

Abstract

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