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Spin-orbit effects on the Larmor dispersion relation in GaAs quantum wells
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We have studied the relevance of spin-orbit coupling to the dispersion 00009 relation of the Larmor resonance observed in inelastic light scattering and electron-spin resonance experiments on GaAs quantum wells. We show that the spin-orbit interaction, here described by a sum of Dresselhaus and Bychkov-Rashba terms, couples Zeeman and spin-density excitations. We have evaluated its contribution to the spin splitting as a function of the magnetic field $B$, and have found that in the small $B$ limit, the spin-orbit interaction does not contribute to the spin splitting, whereas at high magnetic fields it yields a $B$ independent contribution to the spin splitting given by $2(\lambda_R^2-\lambda_D^2)$, with $\lambda_{R,D}$ being the intensity of the Bychkov-Rashba and Dresselhaus spin-orbit terms.
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MALET I GIRALT, Francesc, et al. Spin-orbit effects on the Larmor dispersion relation in GaAs quantum wells. Physical Review B. 2006. Vol. 73, num. 12, pags. 125302-1-125302-5. ISSN 0163-1829. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/10566