  Charge density bounds of knotted and linked vortex states in two-component
Ginzburg-Landau model are considered. When the mutual linking number of vector
order parameter vortex lines is less than the Hopf invariant, these states have
the lower-lying energies. It is shown that a set of local minima of free energy
contains new classes of universality which exist in a hole density range
limited at both finite ends.
