Spin Magnetotransport in a Two-Dimensional Electron System under quantum Hall regime and with Rashba spin-orbit effect

The article shows a simple model that computes the magnetoconduction and the integer quantum Hall effect (IQHE) in a two-dimensional electron system (2DES) where the spin is other degree of freedom in the system. The 2DES is confined in a quantum well (QW) immersed in a heterostructure, where the Rashba spin-orbit interaction is present. When an external magnetic field is applied to the system, the competition between the spin-orbit interaction and the Zeeman effect on the magnetoconduction of the 2DES is analysed. Also the model reproduces the case where two sub-bands are occupied in the QW. In this case different spin oriented 2DES concerned to each subband can be treated independently, assuming the whole system as the sum of four independient systems (two subbands plus two 2DES spin systems in each subband). The model has been tested with experimental results obtained from a 2DES formed in an InGaAs layer for one and two subbands.