On the cyclotron resonance width of an electron impurity system in two dimensions

Abstract

Using the proper connected diagram expansion which incorporates the quasi-particle effect naturally we calculated the cyclotron resonance width γ in the extreme quantum limit. (a) γ ∝n 1 2 s B 1 2 for a short range interaction, and (b) γ = π 1 2 ze 2 κ -1 <ħcrossed h.c.h; -1 n 1 2 s for Coulomb interaction, are obtained. The field ( B) and concentration ( n s )-dependence is in satisfactory agreement with experimental data. The variation γ = (γ 2 1 + γ 2 2 + …) 1 2 of Matthiessen's rule γ = γ 1 + γ 2 + …, holds when there exist scattering centers of different kinds in the system.