Dephasing in gapless carbon nanotubes and nanostrips and the suppression of interference in a quantum interferometer based on them

The phonon dephasing of an electron in a finite carbon nanotube and a nanostrip with a gapless spectrum has been studied. It has been shown that its main mechanism is the interaction with soft phonons whose frequencies correspond to the phonon time of transmission through the nanotube. The derived formulas have been used to analyze the suppression of interference in an interferometer consisting of two nanotubes or nanostrips connecting two-dimensional electron seas. Dephasing because of zero-point and thermal vibrations has been considered.