The discrete electronic states of finite double-walled armchair carbon nanotubes are
obtained in a magnetic field by using the Peierls tight-binding model. State energy,
wavefunction, energy gap, and density of states are investigated in detail. Electronic
properties strongly depend on the intertube atomic interactions, magnitude and direction
of the magnetic field, boundary structure, length, and Zeeman splitting. The intertube
atomic interactions result in an asymmetric energy spectrum about the Fermi level, a
drastic change in energy gap, and obvious energy shifts. The magnetic field could lead to
state crossing, alter the hybridization of the inner and outer tight-binding functions,
destroy state degeneracy, increase more low-energy states, and induce complete energy-gap
modulations (CEGMs). The different atomic positions along the tube axis make the
C5 system differ
from the D5h or
S5 systems. According
to the lengths Nl = 3i, 3i+1,
and 3i+2
(i
an integer), there exist three types of magnetic-flux-dependent state energies. The Zeeman
effect causes CEGMs to happen at weaker magnetic fields. The main features of
quantized electronic states are directly reflected in the density of states. The predicted
magneto-electronic properties could be examined by the transport and optical
measurements.