Abstract

DEL CASTILLO-MUSSOT, M.; VAZQUEZ FONSECA, G.J.  and  COCOLETZI, G.H.. Hydrodynamic model for 2D degenerate free-electron gas for arbitrary frequencies. Rev. mex. fis. [online]. 2003, vol.49, n.3, pp.231-234. ISSN 0035-001X.

Following Halevi's procedure for 3D degenerate free-electron gas (3D-DEG), we investigate the response function in the hydrodynamic model (HM) for 2D-DEG confined in low dimensional systems when collisions are included. For small wavevectors we found from the two-dimensional Boltzmann-Mermin model a useful expression for the HM complex stiffness parameter of the nonlocal dielectric function β, which is β² = [((3ω/4) + i(v/2)) / (ω + iv)] v²_F, where ω and v are the circular and collisional frequencies and v_F is the Fermi velocity.

Keywords : Theories and models of many-electron systems; optical properties of low dimensional materials; theory of electronic transport; scuttering mechanisms.