Abstract

We derived a nonlinear differential equation that describes the profile of a suspended helium film over a ring-shaped substrate in the presence of a perpendicular external electric field. The profile of the helium film was calculated as a function of the bulk liquid helium level and for several values of the external radius of the ring. The one electron surface states were calculated in the presence of external electric and magnetic fields. The electron energy levels increase with electric field as well as with the height of bulk helium. Aharonov-Bohm oscillations were observed in this system under appropriate conditions.

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