Bernstein modes are formed as a result of non-local coupling of collective
excitations and cyclotron harmonics in magnetized plasma. In degenerate solid
state plasma they are typically associated with magnetoplasmons. A new type of
Bernstein modes arises in two-dimensional electron liquid at sufficiently
strong quasiparticle interaction. We consider Bernstein modes originating from
coupling between quasiparticle cyclotron harmonics and shear magnetosound
waves. The latter may be responsible for the giant peak in radio-frequency
photoresistance observed in high-quality GaAs quantum wells. Using Landau-Silin
kinetic equation with an arbitrary strength of the interparticle Landau
interaction, we trace the reconstruction of Bernstein mode spectrum in
high-quality 2D electron systems across the crossover between weakly
interacting degenerate electron gas and the correlated electron liquid.
Sensitivity of Bernstein modes to the strength of quasiparticle interaction
allows one to use them for spectroscopy of Landau interaction function in the
electron Fermi liquids.Comment: 6 pages, 4 figure