Numerical simulation of energy states for vertically aligned quantum dots array by second order finite dierence scheme
碩士 === 國立臺灣師範大學 === 數學系 === 94 === We present a simple numerical method to investigate the electronic properties of a three-dimensional quantum dot array model formed by di erent size vertically aligned quantum dots. The corresponding Schr¨odin-ger equation is discretized using the finite di erence...
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| Format: | Others |
| Language: | en_US |
| Online Access: | http://ndltd.ncl.edu.tw/handle/29690318095801130444 |
| Summary: | 碩士 === 國立臺灣師範大學 === 數學系 === 94 === We present a simple numerical method to investigate the electronic
properties of a three-dimensional quantum dot array model formed
by di
erent size vertically aligned quantum dots. The corresponding
Schr¨odin-ger equation is discretized using the finite di
erence method
with a constant electron mass and confinement potential. The scheme
is 2nd order accurate and converges extremely fast. In this paper, we
propose numerical schemes to compute the energy levels of various QDA
structures and research the existence of the anti-crossing and crossing
eigencurve for QDA formed by two disk-shaped co-axial QDs with different
size.
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