ELECTRON PHONON INTERACTION IN K-DOPED (10,10) CARBON NANOTUBE

Depending on their strength, the electron–phonon interactions in systems involving electron moving in deformable lattice of atoms can become very important for the dynamics of such systems and may lead to some very interesting phenomena eg. quasiparicle self trapping. We consider Metallic Carbon Nanotube with an excess electron. We choose 2- dimensional hexagonal lattice to be periodic and to have a large extension in one direction and a small extension in the other direction. We study the Modified Nonlinear Schrodinger Equation in Carbon Nanotube (10,10) where the modified term arises due to interaction between excess electron field and lattice distortion and gives stabilization to the solution. This interaction symbolizes strength of nonlinearity in the system. We solved this equation numerically using cylindrical coordinates and found that solutions depend crucially on electron- phonon interaction coefficient.