Crossing of cyclotron and spin resonances in a 2D electron gas

We compare anticrossing of the cyclotron and spin resonances in spin-polarized and non-polarized phases of the degenerate two-dimensional Coulomb gas subjected to a strong tilted magnetic field. The spin-orbit coupling splits these resonances into three lines with the gaps between them exactly equal to δ_2n+1 = v_soP_F and δ_2n = V_soP_F √2 at odd- and even- integer filling factors, respectively. The 1 √2 difference between δ_2n and δ_2n+1 comes from the existence of an additional spin-density wave excitation in the polarized phase of interacting electrons at v = 2n and can be treated as a means to indicate the re-entrance of the system into it.