Model calculations of plasma excitations for arrays of cylindrical nanotubes.

摘要

In this thesis we attempt to do calculations of the collective plasma excitations for an electron gas confined to the surface of cylindrical nanotubules in various spatial configurations. We present a self-consistent formalism of the dispersion relation for the plasmons and for the particle-hole modes as functions of the wave vector qz along the axis of the nanotube(s). These results have been obtained in the random phase approximation (RPA) for nanotubules of arbitrary radii, Ri.;In our formalism, a magnetic field is at times directed along the axis of the nanotube and its spectra analyzed. We propose a general method for calculating the oscillator strength of the plasma excitations; determined the contribution of the plasmon and particle-hole excitations to the absorption coefficient, and investigated and tried to explain the Rashba effect within the context of cylindrical geometry on the nanotubules.