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

TL;DR

This paper investigates how a transverse magnetic flux influences persistent currents in a mesoscopic cylinder, revealing oscillatory behavior and flux-quantum periodicity, using an exact tight-binding model in a non-interacting electron framework.

Contribution

It introduces a detailed analysis of persistent currents under combined longitudinal and transverse magnetic fluxes, highlighting the effects of radial magnetic fields on current oscillations and flux periodicity.

Findings

Current amplitude oscillates with transverse flux

Energy-flux characteristics show $N \, \phi_0$ periodicity

Radial magnetic field impacts persistent current behavior

Abstract

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 $\phi_l$ and transverse magnetic flux $\phi_t$. Quite interestingly we observe that typical current amplitude oscillates as a function of the transverse magnetic flux, associated with the energy-flux characteristics, showing $N \phi_0$ flux-quantum periodicity, where $N$ and $\phi_0$ $(=ch/e)$ 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 $\phi_t$.