Features of Vortex States in Quantum Dots

We study the physics of the formation of vortex states. It is found that the formation of vortex states is affected by two factors, one is the center-of-mass (c.m.) motion, the other is the constraints imposed by symmetry. Only if the vortex structure does not violate the symmetry constraints and is relatively lower in potential energy, it would appear in the first-states.