Condensed Matter Physics, 1996, No 8, p. 99-108, English
DOI:10.5488/CMP.8.99
Title: ON SCREENING IN SOME LOW-DIMENSIONAL CRYSTALS
Authors: B.Lukiyanets (State University "Lviv Polytechnics"
12 S.Bandera St., UA-290646 Lviv, Ukraine), N.Tovstyuk (Lviv State
University, 50 Dragomanov St., UA-290005 Lviv, Ukraine)
On the basis of the proposed diagram technique in quantizing magnetic field,
two problems of interelecteren screening are investigated. In the first one in
the RPA framework the Fourier-transformation of Coulomb interactions is
analysed. It is obtained to have an oscillating character with respect
magnetic field and band filling. In ultraquantum magnetic field the
polarization loop which is diagonal over Landau numbers formally coincides with
that in the one-dimensional case. In the second problem in RPA the
renormalization of the interelectron potential in a one-dimensional
crystal with the narrow band is studied. It is shown, that at some conditions
such potential is an oscillating sign-variable function on an interelectron
distance.
Comments: Refs. 12, Tabs. 0, Figs. 4.