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Quantum dot energy levels and spectrum for different geometries
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10.1063/1.3243290
/content/aip/journal/jap/106/7/10.1063/1.3243290
http://aip.metastore.ingenta.com/content/aip/journal/jap/106/7/10.1063/1.3243290

Figures

Image of FIG. 1.
FIG. 1.

Energy of the ground and first electronic states (with respect to the potential barrier) for tetrahedral-shaped QD embedded in an cube of (a) , (b) , (c) , (d) , (e) , and (f) . is the truncating parameter of the tetrahedral QD with ( corresponds to the tetrahedron without truncation and correspond to the point in the center of the cube). In the upper panel the truncated tetrahedral QD is represented. The tetrahedron without truncation is imbedded in a cube of edge . The tetrahedron is truncated by the planes perpendicular to the vectors from the origin to the vertices of the cube and that they contain the points , , , , where .

Image of FIG. 2.
FIG. 2.

Energy of the firstly electronic states (with respect to the potential barrier) for a truncated tetrahedral-shaped QD embedded in an cube of (a) , (b) , (c) , (d) , (e) , and (f) as a function of the QD volume.

Image of FIG. 3.
FIG. 3.

Energy of the first allowed transitions [ and , according to the Table I] for a truncated tetrahedral-shaped QD embedded in a cube of as a function of the QD volume. For the hole levels the parametrization has been used: and (Ref. 22).

Image of FIG. 4.
FIG. 4.

Energy of the ground and first electronic states with respect to the potential barrier for the square base pyramid with dimensions of and heights of 4 (a), 6 (b), 8 (c), 10 (d), and (e), and with dimensions of and heights of 4 (f), 6 (g), 8 (h), 10 (i), and (j). is the truncating parameter of the pyramid height (, pyramid without truncation). In the upper panel the truncated pyramidal QD is represented. The pyramid base is a polygon with edges ( triangular, , square, pentagonal, hexagonal, etc). The truncated pyramid has a , where the height of the original pyramid and is the truncating parameter.

Image of FIG. 5.
FIG. 5.

Energy of the first allowed transitions ( and , according to Table I) for a truncated pyramidal-shaped QD with square base of and heights of 4, 6, 8, and as a function of the truncating parameter . For the hole levels the parameterization has been used: and (Ref. 22). The transition with lower energy for each height corresponds to the transition.

Image of FIG. 6.
FIG. 6.

Energy of the firstly electron energy levels, labeled with index , of the icosidodecahedron QD imbedded in spheres of 15, 20, and .

Tables

Generic image for table
Table I.

Allowed transitions for the QD with different symmetries. The second column indicates the irreducible representations (IR), denoted by , of the point group. The allowed transitions are indicated as , where and are the IR of the allowed transitions and is the polarization.

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/content/aip/journal/jap/106/7/10.1063/1.3243290
2009-10-13
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Quantum dot energy levels and spectrum for different geometries
http://aip.metastore.ingenta.com/content/aip/journal/jap/106/7/10.1063/1.3243290
10.1063/1.3243290
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