Article ID Journal Published Year Pages File Type
1544321 Physica E: Low-dimensional Systems and Nanostructures 2014 5 Pages PDF
Abstract

•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.

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

Related Topics
Physical Sciences and Engineering Materials Science Electronic, Optical and Magnetic Materials
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