Steady current skinning in uncompensated metals

Abstract

Сharge transfer effects in the case of Hall coefficient that varies along the transport direction and changes its signare are discussed. This situation takes place in contacts of the serially joined materials having electron and hole types of conductivity. Spatial inhomogeneity of conductivity and inversion of Hall coefficient sign are analyzed in terms of electric potential and current density distribution. Magnetic field varies along transport direction of model plate conductor. Two reasons stimulate the inhomogeneity of conductivity: the contact of the serially joined materials having electron and hole types of conductivity and the topology of transverse magnetic field itself. Spatial inhomogeneity of conductivity and inversion of Hall coefficient sign are modeled by the method of curving the electric current lines in such manner that normal local projection of magnetic field varies along transport direction of plate sample. The curving of current lines takes place in the bent plate sample that being placed in an homogeneous magnetic field. It is shown that under inhomogeneous conductivity via contact region the steady current skinning takes place in plate sample so that at one side of plate sample the current density is high and at another side the current density is small. The degree of current skinning and the localization of current density extreme near one of sides is defined with conductivity gradient level and its direction.