The polarization property of nanotubes with taking into account the   radial motion of valence electrons
  Dielectric properties of carbon nanotubes (CNT) are calculated with taking into account the deviation of carbon valence electrons from to be placed exactly on the CNT surface. The results show difference to the usually applied 2D electron gas theory. The collective as well as individual modes of elementary excitations for a model CNT are presented. 
V.A. Aleksandrov (1), A.V. Stepanov (2) G.M. Filippov (2) ((1) Chuvash   State University, Russia, Chuvash Republic, Cheboks...
cond-mat.mes-hall quant-ph