Distribution of Persistent Currents in a Multi-Arm Mesoscopic Ring: A Theoretical Study

We propose an idea to investigate persistent current in individual arms of a multi-arm mesoscopic ring. Following a brief description of persistent current in a traditional mesoscopic ring pierced by an Aharonov-Bohm (AB) flux $\phi$, we examine the behavior of persistent currents in separate arms of a three-arm mesoscopic ring where upper and lower sub-rings are subject to AB fluxes $\phi_1$ and $\phi_2$, respectively. The present analysis may provide a basic framework to study magnetic response in individual branches of any complicated quantum network.