Magnetic field driven topological transitions in the noncentrosymmetric energy spectrum of the two-dimensional electron gas with Rashba-Dresselhaus spin-orbit interaction

Two-dimensional (2D) electron systems with a combined Rashba and Dresselhaus spin-orbit interaction (SOI) having a complicated energy spectrum with a conical point and four critical points are promising candidates to observe electron topological transitions. In the present paper we have investigated the evolution of the electron spectrum and isoenergetic contours under the influence of a parallel magnetic field. General formulas for the energies of critical points for arbitrary values of SOI constants and magnetic field are found. The existence of critical magnetic fields at which a number of critical points is changed has been predicted. The magnetic field driving topological Lifshitz transitions in the geometry of isoenergetic contours has been studied. Van Hove's singularities in the electron density of states are calculated. The obtained results can be used for theoretical investigations of the different electron characteristics of such 2D systems.