Eigenstates of quantum wire structures with quasi‐bound geometry

Abstract

AbstractThe eigenstate calculation of quantum‐wire mesoscopic structures with quasi‐bound geometry is reported. In this geometry, electron wave packets are confined quantum mechanically into an effective potential cavity created by the crossing of quantum wells.First, a variety of quasi‐bound quantum wire structures is presented. Subsequently, the eigenenergies and the eigenfunctions are analyzed numerically by using a two‐dimensional finite element method (2‐D FEM). In this analysis, effects due to the finiteness of the barrier height are studied in contrast to earlier simple models where the height is assumed to be infinite.Structural dependencies of the eigenstates show evidence of the critical parity selectivity for wave functions trapped in the quasi‐bound quantum wire system. A comparative study of analysis methods is made as well. Comparison of the results obtained by the 2‐D FEM with those by the weighted potential method shows the limitation of the latter reproduced approach to the present problem.