  It is shown that there are three kinds of vortices in a superconductor; a
vortex with the fluxoid quantum 1 (VF), a new vortex with 0 (VZF), and a vortex
with -1 (VAF), respectively. The Hall field via three vortices is studied and
found to change its sign, depending of the relative strength of contributions
via VF and VAF, similar to that of a system with two kinds of carriers. VZF is
suggested to act as a domain wall between VF and VAF regions, accounting for
the flux and antiflux regions observed in Nb films.
