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Magnetic susceptibility of carbon nanotubes

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Abstract

For (n0) and (nn) nanotubes in a magnetic field parallel to the nanotube axis, energy level formulas have been derived and energy level diagrams have been calculated. It has been shown that, for metallic nanotubes in a magnetic field, an energy gap between the occupied and vacant states appears, the gap width depending on n. For semiconducting nanotubes in a magnetic field, the gap width decreases. The diagrams of the gap width versus n are reported. Theoretical study of the magnetic susceptibility of carbon nanotubes in a magnetic field parallel to the nanotube axis has been carried out. Nontrivial temperature dependences of magnetic susceptibility typical of quasi-one-dimensional nanostructures have been obtained. Depending on the chemical potential, magnetic susceptibility spectra have been obtained as sharp peaks with the amplitudes increasing with a decrease in temperature. Dependences of magnetic susceptibility on (n0) and (nn) nanotube diameter have been studied.

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Correspondence to E. F. Kustov.

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Kustov, E.F., Novotortsev, V.M. Magnetic susceptibility of carbon nanotubes. Russ. J. Inorg. Chem. 60, 1708–1722 (2015). https://doi.org/10.1134/S0036023615130033

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  • DOI: https://doi.org/10.1134/S0036023615130033

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