The influence of the stretching and compression deformations on the piezoresistance of the carbon nanotubes and graphene nanoribbons

In this article the influence of the stretching and compression on the conducting properties of carbon nanoparticles (nanotubes, nanoribbons) accounting the changes in the transverse dimensions of the sample is studied theoretically. The analytical calculation of piezoresistive constants of carbon nanoparticles with the account of transverse strain was carried out. It is shown that the elastoconductivity tensor of metallic nanotubes is independent of its diameter. The monotonic increase in the longitudinal component of the tensor with the increasing its diameters of semiconducting nanotubes was obtained. It is shown that increasing or decreasing of the piezoresistive constant of semiconducting nanotubes with the relative tension or compression strain.The results are compared with the literature data. A physical justification of the observed dependence was described.nanoparticles (nanotubes, nanoribbons) accounting the changes in the transverse dimensions of the sample is studied theoretically. The analytical calculation of piezoresistive constants of carbon nanoparticles with the account of transverse strain was carried out. It is shown that the elastoconductivity tensor of metallic nanotubes is independent of its diameter. The monotonic increase in the longitudinal component of the tensor with the increasing its diameters of semiconducting nanotubes was obtained. It is shown that increasing or decreasing of the piezoresistive constant of semiconducting nanotubes with the relative tension or compression strain.The results are compared with the literature data. A physical justification of the observed dependence was described.