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We analytically evaluate charge and spin density response functions of theclean two-dimensional electron gas with Rashba spin-orbit coupling at finitemomenta and frequencies. On the basis of our exact expressions we discuss theaccuracy of the long-wavelength and the quasiclassical approximations. We alsoderive the static limit of spin susceptibilities and demonstrate, inparticular, how the Kohn-like anomalies in their derivatives are related to thespin-orbit modification of the Ruderman-Kittel-Kasuya-Yosida interaction.Taking into account screening and exchange effects of the Coulomb interaction,we describe the collective charge and spin density excitation modes whichappear to be coupled due to nonvanishing spin-charge response function.

the european physical journal. b, condensed matter physics/european physical journal. b, condensed matter and complex systems

Charge and spin density response functions of the clean two-dimensional  electron gas with Rashba spin-orbit coupling at finite momenta and  frequencies