Dependence of electron binding energies of semiconducting double walled carbon nanotube on magnetic field and inter-wall distance

In this study the binding energies of semiconducting double walled carbon nanotube (DWCNT) were calculated using the variational method considering the effective mass approximation and confinement potential under external magnetic field. The study reveals that the 2p state splits into three states 2p0, 2p+ and 2p−. The binding energies of 2p+ and 2p− states increases with increase in applied external magnetic field at a given inter-wall distance. Furthermore the binding energies of the states is found to decrease with increase in inter-wall distance and becomes appreciably small (<45 meV) for DWCNT with 0.42 nm inter-wall distance. In addition, our results reveal that for smaller core diameters the electron effective mass increases sharply and attain a peak value around at 0.2 nm and for large tube diameters (>0.8 nm), the electron effective mass becomes constant. The observed results were compared with the previously reported results.