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- W2078932210 abstract "Quantum dot wave functions are constructed in the $8ifmmodetimeselsetexttimesfi{}8$ kensuremath{cdot}p model from three bulk states: ${k}_{1},{k}_{2},$ and ${k}_{3}.$ We found that the $8ifmmodetimeselsetexttimesfi{}8$ $mathbf{k}ensuremath{cdot}mathbf{p}$ ${k}_{2}$ bulk state (far from $ensuremath{Gamma},$ belonging to the electon-light hole bands) does not exist in the more realistic atomistic pseudopotential calculation. As a result, $8ifmmodetimeselsetexttimesfi{}8$ kensuremath{cdot}p nanostructure solutions which critically depend on this ${k}_{2}$ bulk state are spurious. These include the $8ifmmodetimeselsetexttimesfi{}8$ kensuremath{cdot}p quantum dot band gap ``intrinsic'' surface states and oscillating hole states. On the other hand, if the contribution of this ${k}_{2}$ state is small and decays with increasing nanostructure size, the corresponding nanostructure state is real." @default.
- W2078932210 created "2016-06-24" @default.
- W2078932210 creator A5091144208 @default.
- W2078932210 date "2000-03-15" @default.
- W2078932210 modified "2023-09-27" @default.
- W2078932210 title "Real and spurious solutions of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mn>8</mml:mn><mml:mo>×</mml:mo><mml:mn>8</mml:mn></mml:math>k⋅p model for nanostructures" @default.
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- W2078932210 doi "https://doi.org/10.1103/physrevb.61.7241" @default.
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