Power-law dependence of the angular momentum transition fields in   few-electron quantum dots
  We show that the critical magnetic fields at which a few-electron quantum dot undergoes transitions between successive values of its angular momentum (M), for large M values follow a very simple power-law dependence on the effective inter-electron interaction strength. We obtain this power law analytically from a quasi-classical treatment and demonstrate its nearly-universal validity by comparison with the results of exact diagonalization. 
E. Anisimovas, A. Matulis, M. B. Tavernier and F. M. Peeters