RECURRENCE FORMULA FOR THE CONDUCTIVITY OF DISORDERED-SYSTEMS IN A MAGNETIC-FIELD

A recurrence formula for the current density of macroscopically inhomogeneous materials in a magnetic field H is obtained, [j(k)(r)] = E-1 integral (v)j0(r).[j(r)k-1 x H]R(r) dV, where R(r) is the local value of the Hall coefficient and E is the electric field. This formula gives the contributions of all orders of the Hall effect to the current density in a magnetic field.