Numerical calculation of hybrid magneto-electric states in an electron waveguide

We have performed a numerical calculation of the energy dispersion relation of hybrid magneto-electric states (both propagating and evanescent) in an electron waveguide subjected to a magnetic field. Our results are considerably different from those obtained through the Bohr–Sommerfield quantization condition. We have also calculated the density of the magneto-electric states as a function of energy and the velocity versus energy relationships. Finally, we show how the wavefunctions of these states evolve with increasing magnetic field from particle in a box states to edge states. These results are useful in the analysis of numerous recent magnetotransport experiments performed in electron waveguides.