| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1859047 | Physics Letters A | 2016 | 6 Pages |
•We study the scattering problem for the zigzag carbon nanotube.•The Green function for the carbon nanotube was found explicitly.•We obtain the general approximate expression for the transmission probability.•Reflection can be large for the small potential and the electron velocity.•We found the condition when the transmission probability is close to unity.
We study, within the tight-binding approximation, the scattering problem for the Hamiltonian of the carbon nanotube with the non-local impurity potential. The Green function of the non-perturbed Hamiltonian was found explicitly. In the case where the potential and the electron velocity are small, we obtained a simple expression for the transmission probability. The scattering occurs mainly in the two subbands. The transmission probability increases by increasing the diameter of a carbon nanotube, or when the Fermi energy tends to zero. We found the condition when the transmission probability is close to unity.
