Electronic states in hyperbolic-boundary crescent-shaped quantum wires

A fully two-dimensional study of the electronic sub-bands in crescent-shape d quantum wires is presented. The confinement energies and the wave functio ns are compared by means of an aspect ratio to those produced by the adiaba tic approximation. Guidelines for applying the adiabatic model are provided and the adiabatic quantum number classification scheme is discussed. "Non- adiabatic" states are determined among the first few sub-bands and a built- in dipole is identified. The energy spectrum is explored as a function of w ire dimensions achievable by present-day technology. Wire parameters corres ponding to maximized sub-band separations are determined.