$O\left(N\right)\mathrm{}$ algorithms in tight-binding molecular-dynamics simulations of the electronic structure of carbon nanotubes

The $O\left(N\right)\mathrm{}$ and parallelization techniques have been successfully applied in tight-binding molecular-dynamics simulations of single-walled carbon nanotubes (SWNT’s) of various chiralities. The accuracy of the $O\left(N\right)\mathrm{}$ description is found to be enhanced by the use of basis functions of neighboring atoms (buffer). The importance of buffer size in evaluating the simulation time, total energy, and force values together with electronic temperature has been shown. Finally, through the local density of state results, the metallic and semiconducting behavior of $(10\mathrm{}\times 10)$ armchair and $(17\mathrm{}\times 0)$ zigzag SWNT’s, respectively, has been demonstrated.