Reciprocal relations for nonlinear multipole in inhomogeneous magnetic field

Highlights: • The solutions of the kinetic equation in inhomogeneous magnetic field were analyzed. • Reciprocal relations for the nonlinear resistivity matrix were obtained. • The obtained reciprocal relations were verified experimentally. - Abstract: In this paper the reciprocal relations for the matrix coefficients of the resistance of nonlinear multipole located in an inhomogeneous magnetic field was considered. It is shown that the nonlinear resistance matrix can be represented as the sum of two matrices. The coefficients of the first matrix depend on both the current flowing through the multipole and the external inhomogeneous magnetic field. First matrix is responsible for nonlinear effects. The second matrix coefficients depend only on the induction of the external inhomogeneous magnetic field and are responsible for the Hall effect and the offset resistance. We obtain reciprocal relations for these matrices and experimentally show that the classical reciprocal relations are valid for the second matrix within the limits of experimental accuracy.