Rashba spin–orbit coupling effect on the quantum Hall magnetoresistivity

In this paper we analyze the influence of the Rashba spin–orbit coupling on the quantum Hall magnetoresistivity in a two-dimensional electron system (2DES). The study is based on an analytical model for the integer quantum Hall effect (IQHE) and the Shubnikov-de Haas (SdH) phenomena. This model shows the behaviour of the Hall magnetoresistivity when the Rashba parameter is varied, and reproduces Hall plateaux of a 2DES confined in a III–V heterostructure. We also discuss the Rashba and Zeeman competition and its effect on the width of the Hall magnetoresistivity plateaux.