Abstract

We investigate the effects of the Coulomb interaction on the persistent current displayed by electrons on a two-dimensional annulus, in the presence of a perpendicular magnetic field as well as a magnetic flux threading its center. In the appropriate regime, the electrons form an incompressible quantum fluid, which is described by the Laughlin wave function. It is shown that the Coulomb interaction here tends to enhance the persistent current. On the other hand, in the case of a Wigner solid, which may be induced by strong magnetic fields, the persistent current is suppressed by the Coulomb interaction.

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