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We report the one-electron spectrum and eigenstates of infinite achiral andchiral $(2m,m)$ carbon nanotubes found by using the analytic solution to theSchr\"odinger equation for the tight-binding H\"uckel-type Hamiltonian. Withthe help of matching the wave functions on the interfaces between the regions,where electrons have different site energies, we find and compare thetransmission coefficients for zigzag, armchair and chiral nanotubes subjectedto the action of an applied step-like potential. The correspondence between thenanotube band structure and the energy dependence of the transmissioncoefficient is demonstrated. It is shown that the $(2m,m)$ nanotubes with amedium chiral angle reveal intermediate transport properties as compared withthe achiral armchair, and zigzag nanotubes.

Influence of chirality on the electron transmission through step-like potential in zigzag, armchair, and (2m,m) carbon nanotubes