Persistent current in a mesoscopic cylinder: effects of radial magnetic field

In this work, we study persistent current in a mesoscopic cylinder subjected to both longitudinal and transverse magnetic fluxes. A simple tight-binding model is used to describe the system, where all the calculations are performed exactly within the non-interacting electron picture. The current $I$ is investigated numerically concerning its dependence on total number of electrons $N_e$, system size $N$, longitudinal magnetic flux ${\varphi }_l$ and transverse magnetic flux ${\varphi }_t$. Quite interestingly we observe that typical current amplitude oscillates as a function of the transverse magnetic flux, associated with the energy-flux characteristics, showing $N{\varphi }_0$ flux-quantum periodicity, where $N$ and ${\varphi }_0$ $(=ch\mathrm{/}e)$ correspond to the system size and the elementary flux-quantum respectively. This analysis may provide a new aspect of persistent current for multi-channel cylindrical systems in the presence of radial magnetic field $B_r$, associated with the flux ${\varphi }_t$.