Jp. Carini et al., BOUND-STATES IN WAVE-GUIDES AND BENT QUANTUM MIRES .1. APPLICATIONS TO WAVE-GUIDE SYSTEMS, Physical review. B, Condensed matter, 55(15), 1997, pp. 9842-9851
It has been shown that in quantum wires which contain bends there will
be one or more bound slates for electrons placed in such systems. Bou
nd stales have been observed in quantum wires, but detailed mapping of
such states is difficult. However, there is a one-to-one corresponden
ce between wave functions of free electrons in two-dimensional (2D) sy
stems, and electric fields of TE modes in rectangular waveguides with
the same cross section as the 2D system. We therefore construct bent w
aveguides, find the frequencies at which confined EM fields occur, and
map out the electromagnetic energy density there. We compare the expe
rimental results with theoretical predictions of bound state energies
and eigenfunctions. The geometry has been chosen to correspond to two-
dimensional systems for which quantum wire experiments have been carri
ed out. In such systems, we can predict the number and location of the
bound states in the system; in addition, we can predict the electric
and magnetic fields for the confined TE modes in this system. We show
very good agreement between our predictions and experiment for bent wa
veguides in this geometry.