Circular Hall Effect in a rod conductor
We discover the circular Hall Effect in a conducting rod sample. The uniform current flow in a rod can be viewed as a carrier drift in crossed the radial Hall electric field and the azimuthal magnetic field caused by the current itself. Arguing the diamagnetic currents could define the correct boundary condition at the inner rod surface we find the nonuniform density of longitudinal current taking into account the finite viscosity of 3D electron liquid. Unexpectedly, under certain condition the resistivity of the rod sample vanishes exhibiting the transition to zero-resistance state. At the transition the magnetic field is shown to be pushed out of the sample bulk. The critical temperature of the transition is calculated.