Suppression of macroscopic quantum effects in arrays with spiral nanotubes associated with the dispersion of their typical sizes

Background. Interest in the study of the optical and electrophysical properties of nanotubes is due to their properties such as the band gap depending on the symmetry of the nanotube structure and good electrical conductivity, which makes them promising materials for nanoelectronics. The most of the available methods for creating such structures involve the production of nanotubes in the form of whole arrays with a significant dispersion of their characteristic sizes. Therefore, the most important task is to study the effect of size dispersion on the optical properties of a nanotube beam. The purpose of this work is to study theoretically the influence of the dispersion of spiral nanotubes' radius on the macroscopic quantum effects arising from the anisotropic transfer of the photon momentum to the electronic subsystem. Materials and methods. A cylindrical nanotube with infinitely thin walls was considered as a model. The spiral symmetry of the nanotube was described by means of an extended spiral perturbation modeled by the $\delta$-potential. The calculation of the photon fascination EMFand the EMF arising due to the heating of the electron system by the Joule heat was performed in the quadrupole approximation taking into account the dispersion of the radii of the nanotubes. Results. A theoretical study of the dispersion influence of the spiral nanotubes' characteristic dimensions on macroscopic quantum effects in a longitudinal magnetic field is carried out. An analytical formula is obtained for the photon fascination EMF in a standing electromagnetic wave taking into account the dispersion of characteristic dimensions in an array of spiral nanotubes. An analytical formula is obtained for the EMF arising due to the heating of the electron system by the Joule heat of the photon fascination current of electrons flowing through the nanotube in a longitudinal magnetic field, taking into account the dispersion of the characteristic dimensions of spiral nanotubes in the array. The dispersion influence of the characteristic dimensions of spiral nanotubes in an array on macroscopic quantum effects is investigated. Conclusions. It is shown that in real arrays of nanotubes, where the dispersion of their radius plays a significant role, the effect of suppression of the macroscopic quantum effect associated with the EMF of the photon drag of electrons in a standing electromagnetic wave is possible. It is shown that with an increase in the root-mean-square deviation, the EMF associated with the heating of the electron system by the Joule heat of the photon drag current flowing through the nanotube is suppressed, which is caused by a significant spread in the characteristic radius of spiral nanotubes.