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The fine structure of cyclotron and spin resonances at their crossing: interplay between spin-orbit and Coulomb interactions

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<mark>Journal publication date</mark>15/11/1993
<mark>Journal</mark>Journal of Physics: Condensed Matter
Issue number46
Number of pages16
Pages (from-to)8725-8740
<mark>Original language</mark>English


We compare the anticrossing of the spin and cyclotron resonances in spin-polarized and non-polarized phases of a two-dimensional electron 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 delta2n+1 = upsilon(so)pF and delta2n = upsilon(so)pF/square-root 2 at odd- and even-integer factors, respectively. The 1/square-root 2 factor difference between the gaps delta2n and delta2n+1 arises from the existence of two collective spin-wave-density modes in the polarized phase of interacting electrons in the system with two filled Landau levels. This allows us to predict a new type of spectral Shubnikov-de Haas oscillations, which indicates the re-entrance of the system into the spin-polarized state.