Hall anomalies and vortex charge in layered superconductors

The Hall anomalies in the flux flow regime are associated with moving vortex charge (MVC) in the superconducting layers, which are screened by immobile charges in neighbouring dopant layers. The MVC depends on the logarithm of the magnetic field, and proportional to the doping dependent superfluid stiffness and interlayer dielectric constant. The MVC is shown to add to the Hall conductivity by reformulating Flux Flow transport theory as a current response to applied electric and magnetic field, without the use of vortex forces or complex relaxation rates. MVC curves are extracted from experimental resistivities of hole and electron doped cuprates. These are fit to theory using measured London penetration depths, and a reasonable value of interlayer dielectric constant.