Skyrmions as the ground states of quantum dots in strong magnetic fields

We note that the properties of skyrmions capture many features of the ground states of quantum dots in strong magnetic fields. Therefore, in the present work we choose skyrmions with high winding numbers as trial ground states. In our results, we find that the occurrence of skyrmions fits an instability criterion of maximum density droplet very well. Interesting spin structures are found and such structures are recently supported by electron spin resonance experiments. The addition spectrum is calculated and the transition found in recent experiments is attributable to anti-skyrmion to skyrmion transition. The implication of pair tunneling from our trial wave function is discussed.