SPIN-WAVES IN A 2-DIMENSIONAL NONFERROMAGNETIC ELECTRON LIQUID WITH ELECTRON IMPURITY STATES IN A MAGNETIC-FIELD

Spin waves in a non-ferromagnetic electron liquid in a magnetic field are studied in the random phase approximation. The electron bound stat es in the field of impurity atoms are considered. It is shown that ele ctron localization facilitates the propagation of spin waves. New bran ches of wave spectrum are found in the frequency region where propagat ion of Silin's waves is not possible. The spectrum and damping decreme nt of waves are obtained. Intersection of the dispersion curve for a S ilin wave with the resonance frequency of electron transitions between Landau levels and local levels results in a cross situation typical o f coupled waves. The differential cross-section of magnetic scattering of neutrons by a two-dimensional electron liquid in a magnetic field is calculated. The energy spectrum of scattered neutrons contains addi tional peaks associated with one-particle excitations of localized ele ctrons and spin waves. The positions and widths of these peaks provide information about the spectrum of electron impurity states as well as the spectrum and damping of spin waves. (C) 1998 American Institute o f Physics. [S1063-777X(98)00707-5].