Influence of the Hall effect on domain wall mobility in a cylindrical sample with circumferential easy axis

Abstract

The influence of the Hall effect on magnetization reversal was studied in a cylindrical sample with circumferential easy axis of magnetization. It was shown that due to the Hall effect the mobility of the single boundary between adjacent domains with opposite magnetization (“circular” domain wall – cdw) depends on the relative orientation of the current flow and orientation of wall displacement, and that the magnetic field structure on the wall also depends on the Hall effect. The expression for velocity of a single planar cdw was obtained. The mobility of the wall depends on the value of the tangent of the Hall angle β. It was shown that for small values of β the dependence is linear and that the theorems formulated by Berger for “Domain‐drag” effect (DDE) in a rectangular sample are applicable also for the studied cylindrical sample if $|\beta | \ll 1$.