A variational study of donors in quantum wires in an external magnetic field

We present the results of systematical variational investigations of the ground and 2p(-) states of D-0 centre in a rectangular quantum wire. The objective was to find the general trends for the donor binding energy and the dipole optical transition energy with changing transversal dimensions of the wire and the external magnetic field perpendicular to the wire. Simple Gaussian-like trial envelope functions and variable gauge of the vector potential were used in variational calculations. Besides, we investigated a donor impurity in quantum wires with parabolic confinements and the correspondence of such wires and rectangular quantum wires in the case of donor impurities.