Analogies in electronic properties of graphene wormhole and perturbed nanocylinder

The electronic properties of the wormhole and the perturbed nanocylinder will be investigated using two different methods: the continuum gauge field-theory model which deals with the contin- uum approximation of the surface and the Haydock recursion method which transforms the surface into simplier structure and deals with the nearest-neighbor interactions. Furthermore, the changes of the electronic properties will be investigated for the case of enclosing the appropriate structure and possible substitutes for the encloser will be derived. Finally, possible character of the electron flux will be derived from the model based on the multiwalled nanotubes.