Piezoconductivity of chiral carbon nanotubes in the framework of the tight-binding method

The results of a theoretical study of the piezoresistive properties of chiral carbon nanotubes with different types of conductivity are presented in this paper. An analytical expression for an electron spectrum of the chiral deformed carbon nanotubes has been obtained using the tight-binding method. External mechanical loads lead to band gap changes of the studied nanoparticles, which has an indirect influence on its conductivity. This change of conductivity due to a deformation is called piezoresistance effect, which is characterized by piezoresistive constants. In the framework of the Hubbard model and the Green function method, an analytic calculation of such constants, the longitudinal component of the elastoconductivity tensor, has been carried out. Its dependence on nanotubes’diameter, the magnitude of relative deformation of longitudinal compression and stretching are investigated.