On geometric potentials in nanomechanical circuits

We demonstrate the formation of confinement potentials in suspended nanostructures induced by the geometry of the devices. We then propose a setup for measuring the resulting geometric phase change of electronic wave functions in such a mechanical nanostructure. The device consists of a suspended loop through which a phase coherent current is driven. Combination of two and more geometrically induced potentials can be applied for creating mechanical quantum bit states.