Gw. Bryant et Yb. Band, T-shaped quantum wires in magnetic fields: Weakly confined magnetoexcitonsbeyond the diamagnetic limit, PHYS REV B, 6311(11), 2001, pp. 5304
Optical excitations of magnetoexcitons in T-shaped wires are calculated and
compared with experiment. We find the single-particle states for electrons
and holes confined to a wire in a magnetic field and use these states as a
basis for calculations of magnetoexciton states. We accurately reproduce t
he field dependence of the exciton states and explain the small, field-indu
ced, energy shifts that are observed for these states. The shifts are small
because the T-junction provides weak confinement, rather than strong quant
um confinement. Diamagnetic shifts calculated from perturbation theory fail
to describe the experimental results. We determine when perturbation theor
y is valid for these nanostructures and which gauge should be used to give
the diamagnetic shift that best reproduces the held dependence at low field
s.