The quantum state of vortices in a model of two-dimensional superconducting arrays is discussed. It is argued that in the appropriate limit vortices may be regarded as bosons with hard cores and described by the Laughlin-type wave functions with the induced charge density taking the role of the magnetic field. This in turn leads to the quantization of the Hall conductivity. The possibility of voltage oscillations with multiple Aharonov-Casher periods in an annulus geometry is also pointed out.

• Received 25 March 1994

DOI:https://doi.org/10.1103/PhysRevB.50.10088