Dielectric tensor and collective modes in a two-dimensional electron liquid in a magnetic field.

Abstract

This paper addresses the problem of collective-mode dispersion in the strongly coupled two-dimensional (2D) classical electron liquid in a perpendicular dc magnetic field. The system is modeled as a 2D one-component plasma sandwiched between two dielectric materials e 1 and e 2 . For the strong-coupling regime Γ≡2e 2 /[(e 1 +e 2 )ak B T]>>1 (a is the 2D Wigner-Seitz radius), our analysis-which is carried out in the recently established quasilocalized-charge approximation [G. Kalman and K.I. Golden, Phys. Rev. A 41, 5516 (1990)] with the input of-the equilibrium pair-correlation function-indicates (i) that both magnetoplasmon and magnetoshear mode oscillations can be excited and (ii) that their dispersion is profoundly affected by the combined presence of strong particle correlations and the external magnetic field