New Vortex with Zero Fluxoid Quantum in a Superconductor Anomalous Hall Effect in High T_c and Low T_c Superconductors

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.