2-d Finite barrier rectangular quantum dots I: Schro¨dinger description

• Inseparable piecewise potential is used as the confinement potential of the 2-d rectangular shape quantum dot.
• Theoretical approach is based on the transfer matrices along axes, and the parity and the rotation symmetries of the dot.
• The transcendental energy relations of the dot are obtained as a 2-fold degenerate and quantized by half of the rotation angles.

The bound state energy levels of a finite barrier rectangular shaped quantum dot are obtained using a transfer matrix method and imposing parity and rotation symmetries of the dot on the wavefunction. Energy relations containing potential depth, dot size and effective masses are found in the 2-fold degenerate quantized transcendental equations.

Quantized transcendental energy relations of inseparable finite barrier rectangular quantum dot being 2-d counterpart of ubiquitous 1-d potential-well are obtained.Figure optionsDownload as PowerPoint slide