Transport of spatially inhomogeneous current in a compensated metal under magnetic fields. I. Potential and current distributions

A theoretical investigation of a spatially inhomogeneous distribution of electric current in a compensated metal under external magnetic fields has been made in terms of a boundary‐value problem. The current inhomogeneity considered is what is yielded from a point electrode. The calculated results demonstrate the following. Application of high magnetic fields causes marked changes in both the potential and current distributions. In an oblique magnetic field, a potential mountain or valley is newly formed on a boundary surface. Responsively, the current is highly condensed around a line parallel to the magnetic field. Such condensation of the current induces space charges around this line.