Nonlinear Hall effect for a two-dimensional electron gas in a cylindrical nanomembrane

Abstract

A detailed study of the effect due to Lorentz-force gradient on the Hall voltage of a two-dimensional electron gas (2DEG) was carried out on specially prepared cylindrical nanomembranes with 2DEG. In the fabricated nanomembranes, weak and strong magnetic-field gradients and, also, sign-alternating magnetic fields acting on the electrons in the nanomembranes were obtained. It was found that an increase in the magnetic-field gradient led to an increase of the Hall constant of 2DEG in weak fields, whereas a change in the field sign caused an inversion of this constant in weak fields. An explanation based on the analysis of the dependence of electron drift velocities on the magnetic field gradient is proposed. The investigated system is of interest both for applications and fundamental research.