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We study the electronic spectra of (9,0)–(18,0) double walled carbon nanotubes influenced by the external magnetic field. We choose the orientation of the magnetic field parallel to the axis of nanotube. We found the strong change of the electronic spectra due to external magnetic field. That means gap between valence and conductive bands in DWN will be changed.

The electronic spectra of double-wall zig-zag carbon nanotube affected by the magnetic field